Time bar (total: 999.0ms)
| 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)
| 630.0ms | 8256× | body | 128 | valid |
Compiled 18 to 14 computations (22.2% saved)
| 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)) |
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 24 to 18 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 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))))))) (#(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)))))) |
| 1× | egg-herbie |
| 670× | fma-neg_binary64 |
| 601× | fma-def_binary64 |
| 418× | cancel-sign-sub-inv_binary64 |
| 303× | associate-/l/_binary64 |
| 291× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 151 |
| 1 | 102 | 130 |
| 2 | 299 | 128 |
| 3 | 890 | 128 |
| 4 | 2653 | 124 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 2 x)) |
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))) |
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
-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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 2 x)) |
(fma.f64 2 x 1) |
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))) |
(+.f64 1 (*.f64 2 (+.f64 (*.f64 x x) x))) |
(fma.f64 2 (fma.f64 x x x) 1) |
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 x (pow.f64 x 3))))) |
(+.f64 1 (*.f64 2 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))) |
(fma.f64 2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) 1) |
(fma.f64 2 (+.f64 x (*.f64 x (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)) |
(+.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 (/.f64 -2 x) (-.f64 (/.f64 (/.f64 -2 x) x) 1)) |
(+.f64 (/.f64 -2 x) (+.f64 -1 (/.f64 (/.f64 -2 x) x))) |
(+.f64 -1 (*.f64 (/.f64 1 x) (-.f64 -2 (/.f64 2 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(+.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 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 (/.f64 -2 x) x))) |
(-.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)) |
(+.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 (/.f64 -2 x) (-.f64 (/.f64 (/.f64 -2 x) x) 1)) |
(+.f64 (/.f64 -2 x) (+.f64 -1 (/.f64 (/.f64 -2 x) x))) |
(+.f64 -1 (*.f64 (/.f64 1 x) (-.f64 -2 (/.f64 2 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(+.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 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 (/.f64 -2 x) x))) |
(-.f64 (/.f64 -2 x) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 2 (/.f64 2 x)) 1)) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 47 | 2 | 49 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 47 | 3 | 50 |
| Status | Error | Program |
|---|---|---|
| 34.2b | (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) | |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| ▶ | 28.8b | (+.f64 -1 (/.f64 -2 x)) |
Compiled 620 to 485 computations (21.8% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 34.2b | (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| ✓ | 28.8b | (+.f64 -1 (/.f64 -2 x)) |
Compiled 30 to 23 computations (23.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
| 1.0ms | x | @ | inf | (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
| 1.0ms | x | @ | -inf | (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 519× | pow1_binary64 |
| 484× | add-log-exp_binary64 |
| 484× | expm1-log1p-u_binary64 |
| 482× | log1p-expm1-u_binary64 |
| 475× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 130 | 8 |
| 2 | 1862 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 805× | fma-def_binary64 |
| 503× | associate-/l/_binary64 |
| 369× | times-frac_binary64 |
| 301× | associate-*l*_binary64 |
| 198× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 174 |
| 1 | 108 | 174 |
| 2 | 250 | 174 |
| 3 | 603 | 174 |
| 4 | 1149 | 174 |
| 5 | 2672 | 174 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)) |
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) |
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))) |
(*.f64 -1 (log.f64 -1)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/3 (/.f64 1 (pow.f64 x 3)))) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/3 (/.f64 1 (pow.f64 x 3))))) (log.f64 -1)) |
(log.f64 -1) |
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1)) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (log.f64 -1))) |
(+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (log.f64 -1)))) |
| Outputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)) |
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(*.f64 x (fma.f64 x (*.f64 x 2/3) 2)) |
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))) |
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))) |
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) |
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5)))) |
(fma.f64 2 x (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) |
(fma.f64 x (fma.f64 x (*.f64 x 2/3) 2) (*.f64 2/5 (pow.f64 x 5))) |
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))) |
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))) |
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) |
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/7 (pow.f64 x 7) (*.f64 2 x)))) |
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7))))) |
(fma.f64 2 x (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))) |
(*.f64 -1 (log.f64 -1)) |
(neg.f64 (log.f64 -1)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1)) |
(-.f64 (/.f64 2 x) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/3 (/.f64 1 (pow.f64 x 3)))) (log.f64 -1)) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1))) |
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (log.f64 -1))) |
(-.f64 (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/3 (/.f64 1 (pow.f64 x 3))))) (log.f64 -1)) |
(+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)))) |
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (-.f64 (/.f64 2/5 (pow.f64 x 5)) (log.f64 -1))) |
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (log.f64 -1))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 -2/5 (pow.f64 x 5))))) |
(log.f64 -1) |
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1)) |
(+.f64 (log.f64 -1) (/.f64 2 x)) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (log.f64 -1))) |
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2 x))) |
(+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (log.f64 -1)))) |
(+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))) |
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 0 | 57 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 57 | 3 | 60 |
| Status | Error | Program |
|---|---|---|
| ✓ | 34.2b | (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 1 x)) |
| ✓ | 28.8b | (+.f64 -1 (/.f64 -2 x)) |
Compiled 802 to 460 computations (42.6% saved)
Total 0.0b remaining (94.9%)
Threshold costs 0.0b (94.9%)
Compiled 155 to 117 computations (24.5% 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 | 6 | 10 |
| 1 | 11 | 10 |
| 2 | 15 | 10 |
| 3 | 17 | 10 |
| 4 | 18 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
| Outputs |
|---|
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
| 1× | done |
Compiled 38 to 29 computations (23.7% saved)
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