Time bar (total: 1.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 62.5% | 62.5% | 37.5% | 0% | 0% | 0% | 0% | 4 |
| 81.3% | 81.2% | 18.7% | 0% | 0% | 0% | 0% | 5 |
| 90.6% | 90.6% | 9.4% | 0% | 0% | 0% | 0% | 6 |
| 95.3% | 95.3% | 4.7% | 0% | 0% | 0% | 0% | 7 |
| 97.7% | 97.6% | 2.3% | 0% | 0% | 0% | 0% | 8 |
| 98.8% | 98.8% | 1.2% | 0% | 0% | 0% | 0% | 9 |
| 99.4% | 99.4% | 0.6% | 0% | 0% | 0% | 0% | 10 |
| 99.7% | 99.7% | 0.3% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.8% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
| 736.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 476× | fma-def_binary64 |
| 327× | fma-neg_binary64 |
| 238× | div-sub_binary64 |
| 156× | times-frac_binary64 |
| 146× | 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 | 122 | 10 |
| 10 | 158 | 10 |
| 11 | 200 | 10 |
| 12 | 292 | 10 |
| 13 | 423 | 10 |
| 14 | 725 | 10 |
| 15 | 1553 | 10 |
| 16 | 2233 | 10 |
| 17 | 2775 | 10 |
| 18 | 2958 | 10 |
| 19 | 3094 | 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 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 476× | fma-def_binary64 |
| 327× | fma-neg_binary64 |
| 238× | div-sub_binary64 |
| 156× | times-frac_binary64 |
| 146× | 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 | 122 | 10 |
| 10 | 158 | 10 |
| 11 | 200 | 10 |
| 12 | 292 | 10 |
| 13 | 423 | 10 |
| 14 | 725 | 10 |
| 15 | 1553 | 10 |
| 16 | 2233 | 10 |
| 17 | 2775 | 10 |
| 18 | 2958 | 10 |
| 19 | 3094 | 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 8 to 6 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
Compiled 16 to 11 computations (31.3% saved)
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 |
| 735× | add-log-exp_binary64 |
| 722× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 137 | 10 |
| 2 | 1971 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 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 expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(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 exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) |
| 1× | egg-herbie |
| 830× | fma-neg_binary64 |
| 578× | fma-def_binary64 |
| 553× | associate-*l*_binary64 |
| 548× | cancel-sign-sub-inv_binary64 |
| 471× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 147 |
| 1 | 91 | 135 |
| 2 | 268 | 129 |
| 3 | 859 | 126 |
| 4 | 2725 | 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 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 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 (+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x))) (/.f64 -2 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 -2 x) 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 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 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 (+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x))) (/.f64 -2 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 -2 x) 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 563 to 443 computations (21.3% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 42 | 5 | 47 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 42 | 6 | 48 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.6b | (+.f64 -1 (/.f64 -2 x)) |
| ▶ | 0.1b | (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1)) |
| 30.3b | -1 | |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| ▶ | 33.2b | (+.f64 (*.f64 2 x) 1) |
| 33.8b | 1 |
Compiled 34 to 28 computations (17.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1)) |
Compiled 23 to 17 computations (26.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 884× | pow1_binary64 |
| 828× | log1p-expm1-u_binary64 |
| 828× | expm1-log1p-u_binary64 |
| 826× | add-log-exp_binary64 |
| 810× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 163 | 10 |
| 2 | 2341 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (-.f64 1 x)) 1) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 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 (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 (neg.f64 (+.f64 1 x)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 x)) (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 (neg.f64 (-.f64 1 x)) (+.f64 x -1)))))) (#(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 1 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x x (-.f64 1 x)) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -1) (*.f64 (+.f64 x -1) (neg.f64 (-.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 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)) (+.f64 (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (-.f64 (pow.f64 (-.f64 1 x) -2) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (pow.f64 (-.f64 1 x) -2)) (-.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.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 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 1 x)) (neg.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 /.f64 (*.f64 (/.f64 1 (-.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 (-.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 x) -1) (neg.f64 (-.f64 1 x)))))) (#(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 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 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 cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)))))) (#(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 log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(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 fma.f64 x (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 x)) x (/.f64 1 (-.f64 1 x))))))) |
| 1× | egg-herbie |
| 830× | fma-neg_binary64 |
| 578× | fma-def_binary64 |
| 553× | associate-*l*_binary64 |
| 548× | cancel-sign-sub-inv_binary64 |
| 471× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 147 |
| 1 | 91 | 135 |
| 2 | 268 | 129 |
| 3 | 859 | 126 |
| 4 | 2725 | 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 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 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 (+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x))) (/.f64 -2 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 -2 x) 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 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 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 (+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x))) (/.f64 -2 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 -2 x) 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 12 to 9 computations (25% saved)
Compiled 12 to 9 computations (25% saved)
Compiled 717 to 546 computations (23.8% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 56 | 1 | 57 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 57 | 6 | 63 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.6b | (+.f64 -1 (/.f64 -2 x)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1)) |
| 30.3b | -1 | |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| ✓ | 33.2b | (+.f64 (*.f64 2 x) 1) |
| 33.8b | 1 |
Compiled 34 to 28 computations (17.6% saved)
Compiled 1 to 1 computations (0% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 4 | 4 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.6b | (+.f64 -1 (/.f64 -2 x)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1)) |
| 30.3b | -1 | |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| ✓ | 33.2b | (+.f64 (*.f64 2 x) 1) |
| 33.8b | 1 |
Compiled 34 to 28 computations (17.6% saved)
Compiled 1 to 1 computations (0% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 4 | 4 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.6b | (+.f64 -1 (/.f64 -2 x)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1)) |
| 30.3b | -1 | |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| ✓ | 33.2b | (+.f64 (*.f64 2 x) 1) |
| 33.8b | 1 |
Compiled 34 to 28 computations (17.6% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
(+.f64 -1 (/.f64 -2 x)) |
(+.f64 (*.f64 2 x) 1) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1)) |
| Outputs |
|---|
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
2 calls:
| 5.0ms | x |
| 2.0ms | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
Compiled 40 to 31 computations (22.5% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
(+.f64 -1 (/.f64 -2 x)) |
(+.f64 (*.f64 2 x) 1) |
| Outputs |
|---|
(+.f64 -1 (/.f64 -2 x)) |
(+.f64 (*.f64 2 x) 1) |
(+.f64 -1 (/.f64 -2 x)) |
1 calls:
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
Compiled 16 to 13 computations (18.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 0.8501828452827109 | 210.605733047969 |
| 15.0ms | -1366771181.9089627 | -0.004674638019247758 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
(+.f64 -1 (/.f64 -2 x)) |
| Outputs |
|---|
(+.f64 -1 (/.f64 -2 x)) |
1 |
(+.f64 -1 (/.f64 -2 x)) |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
Compiled 11 to 9 computations (18.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.8501828452827109 | 210.605733047969 |
| 62.0ms | -1366771181.9089627 | -0.004674638019247758 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
| Outputs |
|---|
-1 |
1 |
-1 |
1 calls:
| 48.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 3 | x |
Compiled 6 to 5 computations (16.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.8501828452827109 | 210.605733047969 |
| 16.0ms | -1366771181.9089627 | -0.004674638019247758 |
Compiled 12 to 9 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
-1 |
-1 |
| Outputs |
|---|
-1 |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.3b | 1 | x |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 86 |
| 1 | 32 | 86 |
| 2 | 35 | 86 |
| 3 | 37 | 86 |
| 4 | 38 | 86 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(if (<=.f64 x -2866326917682745/2097152) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 3828883145212005/4503599627370496) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x)))) |
(if (<=.f64 x -2866326917682745/2097152) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 3828883145212005/4503599627370496) 1 (+.f64 -1 (/.f64 -2 x)))) |
(if (<=.f64 x -2866326917682745/2097152) -1 (if (<=.f64 x 3828883145212005/4503599627370496) 1 -1)) |
-1 |
| Outputs |
|---|
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(if (<=.f64 x -2866326917682745/2097152) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 3828883145212005/4503599627370496) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x)))) |
(if (<=.f64 x -2866326917682745/2097152) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 3828883145212005/4503599627370496) (+.f64 1 (*.f64 x 2)) (+.f64 -1 (/.f64 -2 x)))) |
(if (<=.f64 x -2866326917682745/2097152) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 3828883145212005/4503599627370496) 1 (+.f64 -1 (/.f64 -2 x)))) |
(if (<=.f64 x -2866326917682745/2097152) -1 (if (<=.f64 x 3828883145212005/4503599627370496) 1 -1)) |
-1 |
Compiled 66 to 53 computations (19.7% saved)
Compiled 62 to 49 computations (21% saved)
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