Time bar (total: 2.2s)
| 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 |
| 99.9% | 0.1% | 0% | 13 |
| 99.9% | 0% | 0% | 14 |
Compiled 9 to 7 computations (22.2% saved)
| 708.0ms | 8256× | body | 128 | valid |
| 2× | egg-herbie |
| 468× | fma-def_binary64 |
| 327× | fma-neg_binary64 |
| 233× | div-sub_binary64 |
| 156× | times-frac_binary64 |
| 137× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 11 | 10 |
| 2 | 15 | 10 |
| 3 | 21 | 10 |
| 4 | 29 | 10 |
| 5 | 39 | 10 |
| 6 | 52 | 10 |
| 7 | 69 | 10 |
| 8 | 88 | 10 |
| 9 | 120 | 10 |
| 10 | 153 | 10 |
| 11 | 195 | 10 |
| 12 | 287 | 10 |
| 13 | 417 | 10 |
| 14 | 669 | 10 |
| 15 | 1292 | 10 |
| 16 | 1949 | 10 |
| 17 | 2469 | 10 |
| 18 | 2644 | 10 |
| 19 | 2780 | 10 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
| Outputs |
|---|
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 468× | fma-def_binary64 |
| 327× | fma-neg_binary64 |
| 233× | div-sub_binary64 |
| 156× | times-frac_binary64 |
| 137× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 11 | 10 |
| 2 | 15 | 10 |
| 3 | 21 | 10 |
| 4 | 29 | 10 |
| 5 | 39 | 10 |
| 6 | 52 | 10 |
| 7 | 69 | 10 |
| 8 | 88 | 10 |
| 9 | 120 | 10 |
| 10 | 153 | 10 |
| 11 | 195 | 10 |
| 12 | 287 | 10 |
| 13 | 417 | 10 |
| 14 | 669 | 10 |
| 15 | 1292 | 10 |
| 16 | 1949 | 10 |
| 17 | 2469 | 10 |
| 18 | 2644 | 10 |
| 19 | 2780 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
| Outputs |
|---|
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
Compiled 8 to 6 computations (25% 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 (+.f64 x 1) (-.f64 1 x)) |
Compiled 16 to 12 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 787× | pow1_binary64 |
| 737× | log1p-expm1-u_binary64 |
| 737× | expm1-log1p-u_binary64 |
| 71× | add-sqr-sqrt_binary64 |
| 69× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 137 | 10 |
| 2 | 1963 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x 1)) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 848× | fma-neg_binary64 |
| 571× | fma-def_binary64 |
| 537× | cancel-sign-sub-inv_binary64 |
| 471× | times-frac_binary64 |
| 153× | distribute-neg-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 147 |
| 1 | 91 | 135 |
| 2 | 268 | 129 |
| 3 | 858 | 126 |
| 4 | 2664 | 122 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 2 x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 2 x) 1) |
(fma.f64 2 x 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)) |
(fma.f64 2 (fma.f64 x x x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1)) |
(fma.f64 2 (fma.f64 x (fma.f64 x x x) x) 1) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))) |
(-.f64 (/.f64 -2 x) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 2 (/.f64 2 x)) 1)) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))) |
(-.f64 (/.f64 -2 x) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 2 (/.f64 2 x)) 1)) |
Compiled 583 to 455 computations (22% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 4 | 49 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 46 | 4 | 50 |
| Status | Error | Program |
|---|---|---|
| 0.0b | (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) | |
| ▶ | 0.0b | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
| 0.1b | (*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x))) | |
| 15.3b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
Compiled 104 to 84 computations (19.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 x) (+.f64 x 1)) |
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (+.f64 x 1)) |
| 0.0ms | x | @ | inf | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
| 0.0ms | x | @ | -inf | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 918× | log1p-expm1-u_binary64 |
| 918× | expm1-log1p-u_binary64 |
| 91× | add-sqr-sqrt_binary64 |
| 87× | pow1_binary64 |
| 86× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 181 | 20 |
| 2 | 2488 | 20 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
(/.f64 (-.f64 1 x) (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) -1) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (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 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 x) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 1 x)) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) |
| 1× | egg-herbie |
| 792× | fma-def_binary64 |
| 607× | cancel-sign-sub-inv_binary64 |
| 474× | times-frac_binary64 |
| 207× | sub-neg_binary64 |
| 191× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 287 |
| 1 | 136 | 269 |
| 2 | 402 | 263 |
| 3 | 1162 | 255 |
| 4 | 3487 | 255 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 2 x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 2 x) 1) |
(fma.f64 2 x 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)) |
(fma.f64 2 (fma.f64 x x x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1)) |
(fma.f64 2 (fma.f64 x (fma.f64 x x x) x) 1) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 1 (*.f64 x -2)) |
(fma.f64 x -2 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2))) |
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1)) |
(fma.f64 x (*.f64 2 x) (fma.f64 x -2 1)) |
(fma.f64 x (fma.f64 2 x -2) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
(fma.f64 x (fma.f64 2 x -2) (fma.f64 (pow.f64 x 3) -2 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 (/.f64 2 x) x))) |
(+.f64 (+.f64 (/.f64 2 x) -1) (/.f64 -2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (-.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) -1) (/.f64 (/.f64 2 x) x))) |
(+.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 -2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 -2 x))) (/.f64 -2 (*.f64 x x))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 (/.f64 2 x) x))) |
(+.f64 (+.f64 (/.f64 2 x) -1) (/.f64 -2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (-.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) -1) (/.f64 (/.f64 2 x) x))) |
(+.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 -2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 -2 x))) (/.f64 -2 (*.f64 x x))) |
Compiled 1460 to 1113 computations (23.8% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 1 | 110 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 110 | 4 | 114 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) |
| 0.1b | (*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))) | |
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
| 15.3b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
Compiled 94 to 76 computations (19.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 x 1) (-.f64 1 x)) | |
| ✓ | 0.0b | (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) |
| ✓ | 0.0b | (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) |
| 1.0ms | x | @ | 0 | (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) |
| 0.0ms | x | @ | -inf | (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) |
| 0.0ms | x | @ | 0 | (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) |
| 0.0ms | x | @ | inf | (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 799× | log1p-expm1-u_binary64 |
| 799× | expm1-log1p-u_binary64 |
| 79× | add-sqr-sqrt_binary64 |
| 78× | pow1_binary64 |
| 77× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 1 | 160 | 22 |
| 2 | 2148 | 22 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) |
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) -1) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (neg.f64 x) -1)) (neg.f64 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (-.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 (-.f64 1 x))) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 864× | fma-neg_binary64 |
| 318× | associate-*l*_binary64 |
| 296× | fma-def_binary64 |
| 218× | associate-*r*_binary64 |
| 177× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 366 |
| 1 | 171 | 350 |
| 2 | 490 | 337 |
| 3 | 1513 | 325 |
| 4 | 4149 | 321 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 1) |
(+.f64 (*.f64 2 (*.f64 (exp.f64 1) x)) (exp.f64 1)) |
(+.f64 (*.f64 4 (*.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (*.f64 2 (*.f64 (exp.f64 1) x)) (exp.f64 1))) |
(+.f64 (*.f64 4 (*.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (*.f64 2 (*.f64 (exp.f64 1) x)) (+.f64 (*.f64 22/3 (*.f64 (exp.f64 1) (pow.f64 x 3))) (exp.f64 1)))) |
(exp.f64 -1) |
(+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (exp.f64 -1)) |
(+.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (exp.f64 -1))) |
(+.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 4)))))) |
(exp.f64 -1) |
(+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (exp.f64 -1)) |
(+.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (exp.f64 -1))) |
(+.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 4)))))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
| Outputs |
|---|
(exp.f64 1) |
(E.f64) |
(+.f64 (*.f64 2 (*.f64 (exp.f64 1) x)) (exp.f64 1)) |
(fma.f64 2 (*.f64 (E.f64) x) (E.f64)) |
(*.f64 (fma.f64 2 x 1) (E.f64)) |
(*.f64 (E.f64) (fma.f64 2 x 1)) |
(+.f64 (*.f64 4 (*.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (*.f64 2 (*.f64 (exp.f64 1) x)) (exp.f64 1))) |
(fma.f64 4 (*.f64 (E.f64) (*.f64 x x)) (fma.f64 2 (*.f64 (E.f64) x) (E.f64))) |
(fma.f64 (E.f64) (*.f64 x (*.f64 x 4)) (*.f64 (fma.f64 2 x 1) (E.f64))) |
(+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x (+.f64 2 (*.f64 x 4))))) |
(+.f64 (*.f64 4 (*.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (*.f64 2 (*.f64 (exp.f64 1) x)) (+.f64 (*.f64 22/3 (*.f64 (exp.f64 1) (pow.f64 x 3))) (exp.f64 1)))) |
(fma.f64 4 (*.f64 (E.f64) (*.f64 x x)) (fma.f64 2 (*.f64 (E.f64) x) (fma.f64 22/3 (*.f64 (E.f64) (pow.f64 x 3)) (E.f64)))) |
(fma.f64 (E.f64) (*.f64 x (*.f64 x 4)) (fma.f64 (E.f64) (*.f64 22/3 (pow.f64 x 3)) (*.f64 (fma.f64 2 x 1) (E.f64)))) |
(+.f64 (E.f64) (*.f64 (E.f64) (+.f64 (*.f64 22/3 (pow.f64 x 3)) (*.f64 x (+.f64 2 (*.f64 x 4)))))) |
(exp.f64 -1) |
(+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (exp.f64 -1)) |
(fma.f64 -2 (/.f64 (exp.f64 -1) x) (exp.f64 -1)) |
(*.f64 (+.f64 (/.f64 -2 x) 1) (exp.f64 -1)) |
(+.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (exp.f64 -1))) |
(fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3)) (fma.f64 -2 (/.f64 (exp.f64 -1) x) (exp.f64 -1))) |
(+.f64 (exp.f64 -1) (*.f64 (/.f64 (exp.f64 -1) x) (+.f64 (/.f64 2/3 (*.f64 x x)) -2))) |
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (/.f64 -2 x) (/.f64 2/3 (pow.f64 x 3))))) |
(+.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 4)))))) |
(fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3)) (+.f64 (fma.f64 -2 (/.f64 (exp.f64 -1) x) (exp.f64 -1)) (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 4))))) |
(fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3)) (fma.f64 -2 (/.f64 (exp.f64 -1) x) (fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))) |
(+.f64 (fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)) (*.f64 (/.f64 (exp.f64 -1) x) (+.f64 (/.f64 2/3 (*.f64 x x)) -2))) |
(+.f64 (exp.f64 -1) (*.f64 (/.f64 (exp.f64 -1) x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 -2 (/.f64 2/3 (*.f64 x x)))))) |
(exp.f64 -1) |
(+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (exp.f64 -1)) |
(fma.f64 -2 (/.f64 (exp.f64 -1) x) (exp.f64 -1)) |
(*.f64 (+.f64 (/.f64 -2 x) 1) (exp.f64 -1)) |
(+.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (exp.f64 -1))) |
(fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3)) (fma.f64 -2 (/.f64 (exp.f64 -1) x) (exp.f64 -1))) |
(+.f64 (exp.f64 -1) (*.f64 (/.f64 (exp.f64 -1) x) (+.f64 (/.f64 2/3 (*.f64 x x)) -2))) |
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (/.f64 -2 x) (/.f64 2/3 (pow.f64 x 3))))) |
(+.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 -1) x)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 4)))))) |
(fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3)) (+.f64 (fma.f64 -2 (/.f64 (exp.f64 -1) x) (exp.f64 -1)) (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 4))))) |
(fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 3)) (fma.f64 -2 (/.f64 (exp.f64 -1) x) (fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))) |
(+.f64 (fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)) (*.f64 (/.f64 (exp.f64 -1) x) (+.f64 (/.f64 2/3 (*.f64 x x)) -2))) |
(+.f64 (exp.f64 -1) (*.f64 (/.f64 (exp.f64 -1) x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 -2 (/.f64 2/3 (*.f64 x x)))))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(fma.f64 2 x 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)) |
(fma.f64 2 (fma.f64 x x x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))) |
(fma.f64 2 (*.f64 x (fma.f64 x x x)) (fma.f64 2 x 1)) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1)) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 1 (/.f64 2 x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) 2)))) |
(-.f64 (/.f64 -2 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) 2) 1)) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 1 (/.f64 2 x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) 2)))) |
(-.f64 (/.f64 -2 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) 2) 1)) |
Compiled 1996 to 1588 computations (20.4% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 150 | 1 | 151 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 152 | 3 | 155 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (log.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) |
| 0.1b | (*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))) | |
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
Compiled 80 to 66 computations (17.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) |
| ✓ | 0.3b | (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) |
| ✓ | 0.3b | (cbrt.f64 (-.f64 1 x)) |
| ✓ | 0.3b | (cbrt.f64 (+.f64 x 1)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) |
| 1.0ms | x | @ | inf | (cbrt.f64 (+.f64 x 1)) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) |
| 0.0ms | x | @ | 0 | (cbrt.f64 (+.f64 x 1)) |
| 0.0ms | x | @ | -inf | (cbrt.f64 (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 823× | log1p-expm1-u_binary64 |
| 823× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
| 96× | pow1_binary64 |
| 94× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 212 | 30 |
| 2 | 2425 | 30 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (+.f64 x 1)) |
(cbrt.f64 (-.f64 1 x)) |
(pow.f64 (cbrt.f64 (-.f64 1 x)) 2) |
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) 2) (cbrt.f64 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) 1/6) (pow.f64 (-.f64 1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) 1/3) (pow.f64 (sqrt.f64 (-.f64 1 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) 1/6) (*.f64 (pow.f64 (-.f64 1 x) 1/6) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))))) |
| 1× | egg-herbie |
| 734× | fma-def_binary64 |
| 393× | *-commutative_binary64 |
| 292× | distribute-lft-out_binary64 |
| 260× | distribute-rgt-out_binary64 |
| 243× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 168 |
| 1 | 117 | 154 |
| 2 | 301 | 148 |
| 3 | 922 | 124 |
| 4 | 2339 | 124 |
| 5 | 3020 | 124 |
| 6 | 3639 | 124 |
| 7 | 3758 | 124 |
| 8 | 3990 | 124 |
| 9 | 4322 | 124 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
1 |
(+.f64 1 (*.f64 -1/3 x)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/3 x))) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 -5/81 (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 -2/3 x)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 -2/3 x))) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 -4/81 (pow.f64 x 3))))) |
1 |
(+.f64 (*.f64 2/3 x) 1) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x))) |
(fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) |
(fma.f64 1/3 x (fma.f64 x (*.f64 x -1/9) 1)) |
(fma.f64 x (fma.f64 x -1/9 1/3) 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
(+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x))) |
(+.f64 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x)) (fma.f64 -1/9 (*.f64 x x) 1)) |
(fma.f64 x (*.f64 x -1/9) (fma.f64 5/81 (pow.f64 x 3) (fma.f64 1/3 x 1))) |
(fma.f64 5/81 (pow.f64 x 3) (fma.f64 x (fma.f64 x -1/9 1/3) 1)) |
1 |
(+.f64 1 (*.f64 -1/3 x)) |
(+.f64 1 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/3 x))) |
(+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 x -1/3)) |
(fma.f64 -1/9 (*.f64 x x) (fma.f64 x -1/3 1)) |
(fma.f64 x -1/3 (fma.f64 x (*.f64 x -1/9) 1)) |
(fma.f64 x (fma.f64 x -1/9 -1/3) 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 -5/81 (pow.f64 x 3))))) |
(+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (fma.f64 -1/3 x (*.f64 (pow.f64 x 3) -5/81))) |
(+.f64 (fma.f64 (pow.f64 x 3) -5/81 (*.f64 x -1/3)) (fma.f64 -1/9 (*.f64 x x) 1)) |
(fma.f64 x (*.f64 x -1/9) (fma.f64 (pow.f64 x 3) -5/81 (fma.f64 x -1/3 1))) |
(fma.f64 (pow.f64 x 3) -5/81 (fma.f64 x (fma.f64 x -1/9 -1/3) 1)) |
1 |
(+.f64 1 (*.f64 -2/3 x)) |
(+.f64 1 (*.f64 x -2/3)) |
(fma.f64 x -2/3 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 -2/3 x))) |
(+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 x -2/3)) |
(fma.f64 -1/9 (*.f64 x x) (fma.f64 x -2/3 1)) |
(fma.f64 x -2/3 (fma.f64 x (*.f64 x -1/9) 1)) |
(fma.f64 x (fma.f64 x -1/9 -2/3) 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 -4/81 (pow.f64 x 3))))) |
(+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (fma.f64 -2/3 x (*.f64 (pow.f64 x 3) -4/81))) |
(+.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 x -2/3 1)) (*.f64 (pow.f64 x 3) -4/81)) |
(fma.f64 x (*.f64 x -1/9) (fma.f64 (pow.f64 x 3) -4/81 (fma.f64 x -2/3 1))) |
(fma.f64 x (*.f64 x (fma.f64 x -4/81 -1/9)) (fma.f64 x -2/3 1)) |
1 |
(+.f64 (*.f64 2/3 x) 1) |
(fma.f64 2/3 x 1) |
(fma.f64 x 2/3 1) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) 1)) |
(fma.f64 x 2/3 (fma.f64 -1/9 (*.f64 x x) 1)) |
(fma.f64 x 2/3 (fma.f64 x (*.f64 x -1/9) 1)) |
(fma.f64 x (fma.f64 x -1/9 2/3) 1) |
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3))))) |
(fma.f64 2/3 x (+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 (pow.f64 x 3) 4/81))) |
(fma.f64 x 2/3 (fma.f64 -1/9 (*.f64 x x) (fma.f64 (pow.f64 x 3) 4/81 1))) |
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) 4/81 (fma.f64 x (*.f64 x -1/9) 1))) |
(fma.f64 x 2/3 (fma.f64 (*.f64 x x) (fma.f64 x 4/81 -1/9) 1)) |
Compiled 3150 to 2628 computations (16.6% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 111 | 0 | 111 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 111 | 3 | 114 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (log.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) |
| 0.1b | (*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))) | |
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
Compiled 45 to 37 computations (17.8% saved)
Total -15.3b remaining (-130938.4%)
Threshold costs -15.3b (-130938.4%)
| Inputs |
|---|
(log.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))) |
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
| Outputs |
|---|
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
| Time | Error | Segments | Branch |
| 6.0ms | 0.0b | 1 | x |
| 2.0ms | 0.0b | 1 | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| 2.0ms | 0.0b | 1 | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
Compiled 107 to 84 computations (21.5% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 13 | 13 |
| 2 | 16 | 13 |
| 3 | 18 | 13 |
| 4 | 19 | 13 |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
| Outputs |
|---|
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1) |
| 1× | fuel |
Compiled 20 to 16 computations (20% saved)
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