Time bar (total: 2.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 25% | 50% | 25% | 3 |
| 37.5% | 25% | 37.5% | 4 |
| 43.7% | 12.5% | 43.8% | 5 |
| 46.9% | 6.2% | 46.9% | 6 |
| 48.4% | 3.1% | 48.5% | 7 |
| 49.2% | 1.6% | 49.2% | 8 |
| 49.6% | 0.8% | 49.6% | 9 |
| 49.8% | 0.4% | 49.8% | 10 |
| 49.9% | 0.2% | 49.9% | 11 |
| 49.9% | 0.1% | 50% | 12 |
| 50% | 0% | 50% | 13 |
| 50% | 0% | 50% | 14 |
Compiled 16 to 13 computations (18.8% saved)
| 974.0ms | 8256× | body | 128 | valid |
| 0.0ms | 2× | body | 128 | invalid |
| 2× | egg-herbie |
| 688× | times-frac_binary64 |
| 636× | fma-def_binary64 |
| 499× | fma-neg_binary64 |
| 324× | div-sub_binary64 |
| 319× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 21 |
| 1 | 25 | 19 |
| 2 | 46 | 17 |
| 3 | 70 | 17 |
| 4 | 87 | 17 |
| 5 | 106 | 17 |
| 6 | 149 | 17 |
| 7 | 246 | 17 |
| 8 | 402 | 17 |
| 9 | 680 | 17 |
| 10 | 1146 | 17 |
| 11 | 1625 | 17 |
| 12 | 2083 | 17 |
| 13 | 3268 | 17 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
(/.f64 (*.f64 6 (+.f64 x -1)) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))) |
(*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (+.f64 x -1)) |
(/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) |
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) |
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
| 688× | times-frac_binary64 |
| 636× | fma-def_binary64 |
| 499× | fma-neg_binary64 |
| 324× | div-sub_binary64 |
| 319× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 21 |
| 1 | 25 | 19 |
| 2 | 46 | 17 |
| 3 | 70 | 17 |
| 4 | 87 | 17 |
| 5 | 106 | 17 |
| 6 | 149 | 17 |
| 7 | 246 | 17 |
| 8 | 402 | 17 |
| 9 | 680 | 17 |
| 10 | 1146 | 17 |
| 11 | 1625 | 17 |
| 12 | 2083 | 17 |
| 13 | 3268 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
(/.f64 (*.f64 6 (+.f64 x -1)) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))) |
(*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (+.f64 x -1)) |
(/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) |
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) |
Compiled 27 to 20 computations (25.9% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) | |
| ▶ | 0.1b | (/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) |
Compiled 56 to 44 computations (21.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) |
| ✓ | 0.1b | (fma.f64 6 x -6) |
| ✓ | 0.1b | (/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) |
| 1.0ms | x | @ | inf | (/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) |
| 0.0ms | x | @ | 0 | (fma.f64 6 x -6) |
| 0.0ms | x | @ | -inf | (fma.f64 6 x -6) |
| 1× | batch-egg-rewrite |
| 451× | log-prod_binary64 |
| 195× | expm1-udef_binary64 |
| 195× | log1p-udef_binary64 |
| 153× | log-pow_binary64 |
| 131× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 237 | 32 |
| 2 | 2793 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) |
(fma.f64 6 x -6) |
(fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 6 x -6) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (*.f64 (cbrt.f64 (fma.f64 6 x -6)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 6 x -6)) (*.f64 (sqrt.f64 (fma.f64 6 x -6)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 6 x -6)) (/.f64 1 (neg.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 6 x -6)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 6 x -6)) 1) (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (/.f64 (fma.f64 6 x -6) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (fma.f64 6 x -6) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (cbrt.f64 (fma.f64 6 x -6)) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 6 x -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 6 x -6) (neg.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 6 x -6) 3) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -6 (*.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 6 x) 1) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 6 x -6))) (cbrt.f64 (exp.f64 (fma.f64 6 x -6))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 6 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 6 x -6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 6 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 6 x -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 6 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 6 x -6)) (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (cbrt.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 6 x -6)) (sqrt.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 6 x) 3) -216) (fma.f64 (*.f64 6 x) (*.f64 6 x) (-.f64 36 (*.f64 (*.f64 6 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 6 x) (*.f64 6 x) -36) (fma.f64 6 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 6 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 6 x -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 6 x -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 6 x -6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 6 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 6 x -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 6 x -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 6 x -6))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (cbrt.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 4 (sqrt.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 4 (sqrt.f64 x)) 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x))) (pow.f64 (+.f64 x 1) 2)) (-.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (exp.f64 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) |
| 1× | egg-herbie |
| 2× | fma-neg_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 60 |
| 1 | 13 | 60 |
| 2 | 15 | 60 |
| 1× | saturated |
| Inputs |
|---|
-6 |
6 |
6 |
-6 |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
(*.f64 6 x) |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
(*.f64 6 x) |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
1 |
x |
x |
| Outputs |
|---|
-6 |
6 |
6 |
-6 |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(*.f64 6 x) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(*.f64 6 x) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
1 |
x |
x |
Compiled 1767 to 1293 computations (26.8% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 94 | 6 | 100 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 96 | 6 | 102 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (/.f64 (fma.f64 6 x -6) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) | |
| 32.8b | (expm1.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) | |
| 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (fma.f64 6 x -6) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) | |
| 0.5b | (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) | |
| 15.1b | (/.f64 (fma.f64 6 x -6) (/.f64 (-.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x))) (pow.f64 (+.f64 x 1) 2)) (-.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)))) | |
| ▶ | 0.2b | (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 6 x -6)) |
Compiled 296 to 228 computations (23% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 4 (sqrt.f64 x) x) |
| ✓ | 0.0b | (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
| 0.1b | (fma.f64 6 x -6) | |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 6 x -6)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
| 1.0ms | x | @ | 0 | (fma.f64 4 (sqrt.f64 x) x) |
| 1.0ms | x | @ | -inf | (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
| 1.0ms | x | @ | inf | (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 6 x -6)) |
| 1× | batch-egg-rewrite |
| 483× | log-prod_binary64 |
| 201× | log1p-udef_binary64 |
| 200× | expm1-udef_binary64 |
| 174× | fma-def_binary64 |
| 165× | prod-diff_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 255 | 37 |
| 2 | 2976 | 37 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 6 x -6)) |
(/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
(fma.f64 4 (sqrt.f64 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 6) (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) (*.f64 -6 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (*.f64 x 6)) (*.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 x 6 -6) 2)) (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (cbrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x 6 -6)) (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (sqrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 6 -6)) (neg.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) 1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 2)) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x 6 -6)) (neg.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x 6 -6) -1) (neg.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 6 -6) 3) (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 3) (pow.f64 (fma.f64 x 6 -6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 6 -6) 3) (pow.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (*.f64 x 6) (*.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 6) (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (*.f64 -6 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -1) (pow.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (fma.f64 4 (sqrt.f64 x) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 4 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x))) (cbrt.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (+.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (*.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 4 (sqrt.f64 x)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 4 (sqrt.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x))) (*.f64 x x)) (fma.f64 4 (sqrt.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 14 |
| 1 | 8 | 14 |
| 1× | saturated |
| Inputs |
|---|
-6 |
6 |
6 |
1 |
(/.f64 1 x) |
(/.f64 1 x) |
x |
x |
| Outputs |
|---|
-6 |
6 |
6 |
1 |
(/.f64 1 x) |
(/.f64 1 x) |
x |
x |
Compiled 2386 to 1772 computations (25.7% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 3 | 128 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 127 | 7 | 134 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (/.f64 (fma.f64 6 x -6) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) | |
| ▶ | 0.1b | (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
| 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (fma.f64 6 x -6) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) | |
| 0.3b | (*.f64 (pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) (fma.f64 6 x -6)) | |
| 15.1b | (/.f64 (fma.f64 6 x -6) (/.f64 (-.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x))) (pow.f64 (+.f64 x 1) 2)) (-.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)))) | |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 6 x -6)) |
| 15.1b | (*.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (fma.f64 4 (sqrt.f64 x) (-.f64 x 1))) (fma.f64 6 x -6)) |
Compiled 267 to 206 computations (22.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) |
| ✓ | 0.1b | (fma.f64 x 6 -6) |
| ✓ | 0.1b | (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
| 0.0ms | x | @ | 0 | (fma.f64 x 6 -6) |
| 0.0ms | x | @ | -inf | (fma.f64 x 6 -6) |
| 1× | batch-egg-rewrite |
| 439× | log-prod_binary64 |
| 188× | log1p-udef_binary64 |
| 187× | expm1-udef_binary64 |
| 174× | prod-diff_binary64 |
| 160× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 234 | 32 |
| 2 | 2759 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
(fma.f64 x 6 -6) |
(fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 6 -6) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (*.f64 (cbrt.f64 (fma.f64 x 6 -6)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 6 -6)) (*.f64 (sqrt.f64 (fma.f64 x 6 -6)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 6 -6)) (/.f64 1 (neg.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 x 6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 6 -6)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) 1) (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2))) (/.f64 (fma.f64 x 6 -6) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2))) (cbrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (fma.f64 x 6 -6) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (cbrt.f64 (fma.f64 x 6 -6)) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 6 -6) (neg.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 6 -6) 3) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -6 (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 6) 1) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 6 -6))) (cbrt.f64 (exp.f64 (fma.f64 x 6 -6))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 6 -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 6 -6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 6 -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 6 -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 6 -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 6 -6)) (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (cbrt.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 6 -6)) (sqrt.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 6) 3) -216) (fma.f64 (*.f64 x 6) (*.f64 x 6) (-.f64 36 (*.f64 (*.f64 x 6) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x 6) (*.f64 x 6) -36) (fma.f64 x 6 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 6 -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 6 -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 6 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 6 -6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 6 -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 6 -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 6 -6))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 4 (sqrt.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (cbrt.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 4 (sqrt.f64 x)) 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x))) (pow.f64 (+.f64 x 1) 2)) (-.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (exp.f64 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) |
| 1× | egg-herbie |
| 2× | fma-neg_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 60 |
| 1 | 13 | 60 |
| 2 | 15 | 60 |
| 1× | saturated |
| Inputs |
|---|
-6 |
6 |
6 |
-6 |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
(*.f64 6 x) |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
(*.f64 6 x) |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
(-.f64 (*.f64 6 x) 6) |
1 |
x |
x |
| Outputs |
|---|
-6 |
6 |
6 |
-6 |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(*.f64 6 x) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(*.f64 6 x) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
1 |
x |
x |
Compiled 1767 to 1293 computations (26.8% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 99 | 1 | 100 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 100 | 7 | 107 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (/.f64 (fma.f64 6 x -6) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) | |
| ✓ | 0.1b | (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
| ▶ | 0.3b | (*.f64 (pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) (fma.f64 6 x -6)) |
| 15.1b | (/.f64 (fma.f64 6 x -6) (/.f64 (-.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x))) (pow.f64 (+.f64 x 1) 2)) (-.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)))) | |
| 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (fma.f64 x 6 -6) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) | |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 6 x -6)) |
| 15.1b | (*.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (fma.f64 4 (sqrt.f64 x) (-.f64 x 1))) (fma.f64 6 x -6)) |
Compiled 254 to 196 computations (22.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) |
| 0.1b | (fma.f64 6 x -6) | |
| ✓ | 0.2b | (*.f64 (pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) (fma.f64 6 x -6)) |
| ✓ | 0.3b | (pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) |
| 2.0ms | x | @ | 0 | (pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) |
| 2.0ms | x | @ | inf | (pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) |
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) (fma.f64 6 x -6)) |
| 1.0ms | x | @ | -inf | (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) |
| 1× | batch-egg-rewrite |
| 236× | log1p-udef_binary64 |
| 235× | expm1-udef_binary64 |
| 196× | log-pow_binary64 |
| 185× | fma-def_binary64 |
| 156× | prod-diff_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 46 |
| 1 | 318 | 46 |
| 2 | 3417 | 46 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) (fma.f64 6 x -6)) |
(pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2)) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -2)) (cbrt.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/4) (*.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/4) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/4)) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2) (cbrt.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 6) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (*.f64 -6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (*.f64 x 6)) (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 x 6 -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 x 6 -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 x 6 -6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 x 6 -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2) (sqrt.f64 (fma.f64 x 6 -6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x 6 -6) 2) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 6 -6)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 x 6 -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 x 6 -6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3) (pow.f64 (fma.f64 x 6 -6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 6 -6) 3) (pow.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (*.f64 x 6) (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 6) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (*.f64 -6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 -1 (log.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (log.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 -1 (log.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (log.f64 (fma.f64 x 6 -6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 x 6 -6)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/4) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1/2) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2))))))) |
| 1× | egg-herbie |
| 833× | fma-neg_binary64 |
| 327× | associate-*l*_binary64 |
| 261× | associate-*r*_binary64 |
| 236× | unswap-sqr_binary64 |
| 144× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 21 |
| 1 | 39 | 21 |
| 2 | 80 | 21 |
| 3 | 217 | 21 |
| 4 | 807 | 21 |
| 5 | 3766 | 21 |
| 1× | node limit |
| Inputs |
|---|
1 |
(/.f64 1 x) |
(pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) |
-6 |
6 |
6 |
1 |
(sqrt.f64 (/.f64 1 x)) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
| Outputs |
|---|
1 |
(/.f64 1 x) |
(pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) |
(/.f64 1 x) |
-6 |
6 |
6 |
1 |
(sqrt.f64 (/.f64 1 x)) |
(/.f64 1 x) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(/.f64 1 x) |
Compiled 1907 to 1463 computations (23.3% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 1 | 96 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 96 | 7 | 103 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (/.f64 (fma.f64 6 x -6) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) | |
| ✓ | 0.1b | (/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
| ✓ | 0.3b | (*.f64 (pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) (fma.f64 6 x -6)) |
| 15.1b | (/.f64 (fma.f64 6 x -6) (/.f64 (-.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x))) (pow.f64 (+.f64 x 1) 2)) (-.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)))) | |
| 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (fma.f64 x 6 -6) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) | |
| 0.3b | (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/4)) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/4)) (fma.f64 6 x -6)) | |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 6 x -6)) |
Compiled 151 to 116 computations (23.2% saved)
Total -47.9b remaining (-35460.9%)
Threshold costs -47.9b (-35460.9%)
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/4)) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/4)) (fma.f64 6 x -6)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (fma.f64 x 6 -6) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) |
(/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) -1/2) 2) (fma.f64 6 x -6)) |
(*.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (fma.f64 4 (sqrt.f64 x) (-.f64 x 1))) (fma.f64 6 x -6)) |
(/.f64 (fma.f64 6 x -6) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (fma.f64 6 x -6) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) |
(/.f64 (fma.f64 6 x -6) (/.f64 (-.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x))) (pow.f64 (+.f64 x 1) 2)) (-.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)))) |
(*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 6 x -6)) |
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) |
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
| Time | Error | Segments | Branch |
| 7.0ms | 0.1b | 1 | x |
| 6.0ms | 0.1b | 1 | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
Compiled 296 to 213 computations (28% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 17 |
| 1 | 14 | 17 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
| Outputs |
|---|
(/.f64 (fma.f64 x 6 -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) |
| 1× | fuel |
Compiled 26 to 20 computations (23.1% saved)
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