Time bar (total: 5.6s)
| 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 |
Compiled 16 to 13 computations (18.8% saved)
| 947.0ms | 8256× | body | 256 | valid |
| 1.0ms | 9× | body | 256 | invalid |
| 2× | egg-herbie |
| 688× | times-frac_binary64 |
| 636× | fma-def_binary64 |
| 499× | fma-neg_binary64 |
| 443× | associate-/r*_binary64 |
| 333× | 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 | 107 | 17 |
| 6 | 150 | 17 |
| 7 | 247 | 17 |
| 8 | 403 | 17 |
| 9 | 682 | 17 |
| 10 | 1150 | 17 |
| 11 | 1631 | 17 |
| 12 | 2091 | 17 |
| 13 | 3257 | 17 |
| 14 | 6144 | 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 6 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1))) |
(*.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))) |
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 688× | times-frac_binary64 |
| 636× | fma-def_binary64 |
| 499× | fma-neg_binary64 |
| 443× | associate-/r*_binary64 |
| 333× | 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 | 107 | 17 |
| 6 | 150 | 17 |
| 7 | 247 | 17 |
| 8 | 403 | 17 |
| 9 | 682 | 17 |
| 10 | 1150 | 17 |
| 11 | 1631 | 17 |
| 12 | 2091 | 17 |
| 13 | 3257 | 17 |
| 14 | 6144 | 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 6 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1))) |
(*.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))) |
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) |
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 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) |
Compiled 28 to 22 computations (21.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) |
| ✓ | 0.0b | (*.f64 6 (-.f64 x 1)) |
| ✓ | 0.1b | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
Compiled 44 to 30 computations (31.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| 1.0ms | x | @ | inf | (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 6 (-.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 620× | log-prod_binary64 |
| 451× | fma-def_binary64 |
| 329× | pow2_binary64 |
| 270× | fma-neg_binary64 |
| 227× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 40 |
| 1 | 272 | 36 |
| 2 | 3795 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
(*.f64 6 (-.f64 x 1)) |
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) |
| 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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (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 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 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 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 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 (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 (*.f64 (+.f64 x -1) -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 (+.f64 x -1) 1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))))) (#(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 6 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2))) (/.f64 (+.f64 x -1) (cbrt.f64 (+.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 6 x -6) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2))) (/.f64 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) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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 6 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 6 (sqrt.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 *.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (-.f64 x -1) 3))) (fma.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1)) (pow.f64 (-.f64 x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))))) (#(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)) 2) 1/2)))) (#(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 pow.f64 (/.f64 (pow.f64 (fma.f64 6 x -6) 3) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 6 x -6)) 1) -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 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 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 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 +.f64 0 (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 6 x -6))) 2)) (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 (*.f64 (+.f64 (pow.f64 x 3) -1) 6) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 6) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (fma.f64 x x -1)) (-.f64 x -1))))) (#(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) 2) 1/2)))) (#(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 expm1.f64 (log1p.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 6 x -6)))))) (#(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 fma.f64 6 x -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 -6))))) |
((#(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 (/.f64 (pow.f64 (-.f64 x -1) 2) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))) (/.f64 (*.f64 x 16) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))))) (#(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 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (-.f64 x -1) 3)) (/.f64 1 (fma.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1)) (pow.f64 (-.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (/.f64 1 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1)) (pow.f64 (-.f64 x -1) 2)) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (-.f64 x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (-.f64 x -1) 3)) (fma.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1)) (pow.f64 (-.f64 x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (-.f64 x -1) 3)) (fma.f64 x 16 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 (-.f64 x -1) (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (-.f64 x -1) 3))) (neg.f64 (fma.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1)) (pow.f64 (-.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (neg.f64 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2) (*.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2)) (-.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 16) (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) 2) 1/2)))) (#(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 pow.f64 (/.f64 (fma.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1)) (pow.f64 (-.f64 x -1) 2)) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (-.f64 x -1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) -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 (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 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x -1))) (pow.f64 (exp.f64 4) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 x -1)) (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x -1))) (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x)))) (exp.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (sqrt.f64 x)) (+.f64 1 (expm1.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 1 (expm1.f64 x))))))) (#(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 expm1.f64 (log1p.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 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 exp.f64 (log1p.f64 (+.f64 x (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 x (*.f64 4 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x -1) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (sqrt.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x -1) 1 (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (sqrt.f64 x) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 4 (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 x)) 1 (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (cbrt.f64 (*.f64 x 16)) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x -1)) (pow.f64 (cbrt.f64 (-.f64 x -1)) 2) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x -1)) 2) (cbrt.f64 (-.f64 x -1)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x 1/4)) (*.f64 2 (pow.f64 x 1/4)) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)) (-.f64 x -1) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x -1) (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (-.f64 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 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) |
| ✓ | 0.0b | (fma.f64 4 (sqrt.f64 x) x) |
| ✓ | 0.0b | (fma.f64 x -6 6) |
| ✓ | 0.1b | (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) |
Compiled 36 to 23 computations (36.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) |
| 1.0ms | x | @ | inf | (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) |
| 1.0ms | x | @ | -inf | (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) |
| 1.0ms | x | @ | 0 | (fma.f64 4 (sqrt.f64 x) x) |
| 1× | batch-egg-rewrite |
| 464× | log-prod_binary64 |
| 366× | exp-prod_binary64 |
| 284× | pow2_binary64 |
| 254× | pow-prod-down_binary64 |
| 197× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 237 | 39 |
| 2 | 2863 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) |
(fma.f64 x -6 6) |
(fma.f64 4 (sqrt.f64 x) x) |
(-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(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 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(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 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x -6 6)) (/.f64 1 (neg.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) (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 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(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 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) -2) (/.f64 (fma.f64 x -6 6) (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2)) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2)) (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) -1/2) (/.f64 (fma.f64 x -6 6) (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 1 (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 pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x -6 6) (neg.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 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) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x -6 6)) 1) (log.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 x -6 6)) (*.f64 (log.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x -6 6)) 1) (*.f64 (log.f64 (-.f64 -1 (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 (*.f64 x -6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.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 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -6 6))) 2)) (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) (+.f64 (pow.f64 (*.f64 x -6) 2) (-.f64 36 (*.f64 (*.f64 x -6) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x -6) 2) 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) 2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -6 6))) 2)) (cbrt.f64 (log.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -6 6)))) (sqrt.f64 (log.f64 (fma.f64 x -6 6))))))) (#(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 expm1.f64 (log1p.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -6 6)))))) (#(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 exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x -6 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -6 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -6 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -6 6)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (sqrt.f64 x)) 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 (*.f64 4 (sqrt.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) x))) 2)) (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 (exp.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1)))) (#(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 1 (fma.f64 4 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (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 (+.f64 (pow.f64 (*.f64 4 (sqrt.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 4 (sqrt.f64 x)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 4 (sqrt.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 4 (sqrt.f64 x)) 2) (*.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 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)))) (sqrt.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(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 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 4) (+.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 expm1.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(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 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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 4 (sqrt.f64 x) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2) (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) (/.f64 1 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2)) (/.f64 1 (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 1) (-.f64 -1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (-.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (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 (neg.f64 (-.f64 -1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (neg.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))) (neg.f64 (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (*.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)) 2)) (-.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 1) (-.f64 -1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (-.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2)) (cbrt.f64 (log.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) (sqrt.f64 (log.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 4 (sqrt.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (sqrt.f64 x) x) -1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2)) (neg.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (neg.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))) 2) (cbrt.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))) (sqrt.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x))) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x))) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) -1))))) |
| 1× | egg-herbie |
| 6× | fma-def_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 2× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 84 |
| 1 | 12 | 66 |
| 2 | 16 | 66 |
| 3 | 17 | 66 |
| 4 | 19 | 66 |
| 5 | 23 | 66 |
| 6 | 27 | 66 |
| 7 | 35 | 66 |
| 8 | 40 | 66 |
| 9 | 42 | 66 |
| 1× | saturated |
| Inputs |
|---|
-6 |
6 |
6 |
6 |
(+.f64 6 (*.f64 -6 x)) |
(+.f64 6 (*.f64 -6 x)) |
(+.f64 6 (*.f64 -6 x)) |
(*.f64 -6 x) |
(+.f64 6 (*.f64 -6 x)) |
(+.f64 6 (*.f64 -6 x)) |
(+.f64 6 (*.f64 -6 x)) |
(*.f64 -6 x) |
(+.f64 6 (*.f64 -6 x)) |
(+.f64 6 (*.f64 -6 x)) |
(+.f64 6 (*.f64 -6 x)) |
x |
x |
-1 |
(*.f64 -1 x) |
(*.f64 -1 x) |
| Outputs |
|---|
-6 |
6 |
6 |
6 |
(+.f64 6 (*.f64 -6 x)) |
(fma.f64 -6 x 6) |
(+.f64 6 (*.f64 -6 x)) |
(fma.f64 -6 x 6) |
(+.f64 6 (*.f64 -6 x)) |
(fma.f64 -6 x 6) |
(*.f64 -6 x) |
(+.f64 6 (*.f64 -6 x)) |
(fma.f64 -6 x 6) |
(+.f64 6 (*.f64 -6 x)) |
(fma.f64 -6 x 6) |
(+.f64 6 (*.f64 -6 x)) |
(fma.f64 -6 x 6) |
(*.f64 -6 x) |
(+.f64 6 (*.f64 -6 x)) |
(fma.f64 -6 x 6) |
(+.f64 6 (*.f64 -6 x)) |
(fma.f64 -6 x 6) |
(+.f64 6 (*.f64 -6 x)) |
(fma.f64 -6 x 6) |
x |
x |
-1 |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
Compiled 6650 to 4829 computations (27.4% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 341 | 14 | 355 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 342 | 15 | 357 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| ▶ | 4.0b | (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
| 14.9b | (/.f64 (*.f64 6 (-.f64 x 1)) (fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 4 (sqrt.f64 x)))) | |
| 0.1b | (*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) | |
| 31.5b | (/.f64 (fma.f64 x -6 6) (neg.f64 x)) | |
| 32.6b | 6 | |
| 0.2b | (pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -1) | |
| 14.9b | (/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))) | |
| ▶ | 33.0b | (/.f64 (fma.f64 x -6 6) -1) |
| ▶ | 0.0b | (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) |
| ▶ | 0.1b | (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)) |
| 34.4b | -6 | |
| 31.5b | (/.f64 (*.f64 6 (-.f64 x 1)) x) | |
| ▶ | 33.0b | (/.f64 (*.f64 6 (-.f64 x 1)) 1) |
| 31.3b | (/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
Compiled 335 to 266 computations (20.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) |
| 0.0b | (fma.f64 4 (sqrt.f64 x) x) | |
| ✓ | 0.0b | (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) |
| ✓ | 0.1b | (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
Compiled 47 to 30 computations (36.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
| 0.0ms | x | @ | -inf | (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) |
| 0.0ms | x | @ | 0 | (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) |
| 1× | batch-egg-rewrite |
| 540× | log-prod_binary64 |
| 323× | pow-prod-down_binary64 |
| 314× | pow2_binary64 |
| 246× | prod-diff_binary64 |
| 220× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 260 | 45 |
| 2 | 3294 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) |
(+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(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 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x -1)) (/.f64 1 (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.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 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -2) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (+.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) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -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 (+.f64 x -1) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.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) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -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 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1)))))) |
((#(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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (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 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 6 -6) (+.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 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) 1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (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 (/.f64 (fma.f64 x 6 -6) (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 (neg.f64 (+.f64 x -1)) 6) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (neg.f64 (+.f64 x -1))) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(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)) 2) 1/2)))) (#(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 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 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 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 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 -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -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)) (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 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) (/.f64 1 (+.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 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))) (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (neg.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (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 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) 2) 1/2)))) (#(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 pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))) (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) -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 (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 4 (sqrt.f64 x))) (exp.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 expm1.f64 (log1p.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 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 exp.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 fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 4 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (+.f64 4 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (*.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (sqrt.f64 x))) 2) (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 x))) (sqrt.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (pow.f64 x 1/6) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (+.f64 x 1)))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 8 | 9 |
| 1× | saturated |
| Inputs |
|---|
-1 |
1 |
1 |
-6 |
6 |
6 |
1 |
x |
x |
| Outputs |
|---|
-1 |
1 |
1 |
-6 |
6 |
6 |
1 |
x |
x |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 6 (-.f64 x 1)) |
Compiled 19 to 15 computations (21.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 x -6 6) |
Compiled 15 to 12 computations (20% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 x -6 6) | |
| ✓ | 0.1b | (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
Compiled 20 to 15 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
| 0.0ms | x | @ | inf | (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
| 1× | batch-egg-rewrite |
| 904× | pow1_binary64 |
| 846× | add-log-exp_binary64 |
| 846× | log1p-expm1-u_binary64 |
| 846× | expm1-log1p-u_binary64 |
| 833× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 174 | 11 |
| 2 | 2186 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 2) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(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 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(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 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x -6 6)) (/.f64 1 (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 x)) (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 -1 x)))))) (#(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 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (fma.f64 x -6 6) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 (fma.f64 x -6 6) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (sqrt.f64 (-.f64 -1 x))) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 1 (*.f64 x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x -6 6) (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (-.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))))))) |
| 1× | egg-herbie |
| 543× | associate-*l*_binary64 |
| 513× | fma-neg_binary64 |
| 426× | times-frac_binary64 |
| 396× | associate-/r*_binary64 |
| 381× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 139 |
| 1 | 91 | 136 |
| 2 | 230 | 134 |
| 3 | 627 | 129 |
| 4 | 1936 | 124 |
| 5 | 7468 | 124 |
| 1× | node limit |
| Inputs |
|---|
-6 |
(-.f64 (*.f64 12 x) 6) |
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6) |
(-.f64 (+.f64 (*.f64 12 x) (+.f64 (*.f64 12 (pow.f64 x 3)) (*.f64 -12 (pow.f64 x 2)))) 6) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x)))) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x)))) |
| Outputs |
|---|
-6 |
(-.f64 (*.f64 12 x) 6) |
(fma.f64 12 x -6) |
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6) |
(+.f64 (fma.f64 12 x (*.f64 -12 (*.f64 x x))) -6) |
(fma.f64 12 x (fma.f64 -12 (*.f64 x x) -6)) |
(fma.f64 12 x (fma.f64 x (*.f64 x -12) -6)) |
(fma.f64 x (fma.f64 x -12 12) -6) |
(-.f64 (+.f64 (*.f64 12 x) (+.f64 (*.f64 12 (pow.f64 x 3)) (*.f64 -12 (pow.f64 x 2)))) 6) |
(+.f64 (fma.f64 12 x (fma.f64 12 (pow.f64 x 3) (*.f64 -12 (*.f64 x x)))) -6) |
(+.f64 (*.f64 12 (+.f64 x (pow.f64 x 3))) (fma.f64 -12 (*.f64 x x) -6)) |
(fma.f64 12 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x -12) -6)) |
(fma.f64 12 x (fma.f64 x (*.f64 x (fma.f64 12 x -12)) -6)) |
(fma.f64 x (+.f64 12 (*.f64 x (fma.f64 12 x -12))) -6) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (/.f64 12 x))) |
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 x))) |
(+.f64 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x))) |
(+.f64 6 (*.f64 (/.f64 1 x) (+.f64 (/.f64 12 x) -12))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x)))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (/.f64 12 (pow.f64 x 3))))) |
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3))))) |
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3))))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 12 (/.f64 -12 x)) (+.f64 6 (/.f64 -12 x))) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (/.f64 12 x))) |
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 x))) |
(+.f64 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x))) |
(+.f64 6 (*.f64 (/.f64 1 x) (+.f64 (/.f64 12 x) -12))) |
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x)))) |
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (/.f64 12 (pow.f64 x 3))))) |
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3))))) |
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3))))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 12 (/.f64 -12 x)) (+.f64 6 (/.f64 -12 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) | |
| 0.0b | (fma.f64 4 (sqrt.f64 x) x) | |
| ✓ | 0.1b | (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
| ✓ | 0.1b | (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)) |
Compiled 45 to 29 computations (35.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
| 1.0ms | x | @ | inf | (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
| 1.0ms | x | @ | -inf | (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 544× | log-prod_binary64 |
| 426× | prod-diff_binary64 |
| 319× | pow2_binary64 |
| 253× | fma-def_binary64 |
| 222× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 1 | 267 | 32 |
| 2 | 3471 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)) |
(/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) 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 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) 1) (*.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (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 6 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 6 x -6) (+.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 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (fma.f64 x x -1)) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (fma.f64 x x -1)) (*.f64 (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 6) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 6) (*.f64 (+.f64 x 1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 1) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x 1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) -6) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -6) (*.f64 (+.f64 x 1) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) 3) (pow.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3)) (+.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) 2) (-.f64 (pow.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) (*.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) 2) (pow.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (-.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 6 x -6) 1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 6 x -6) (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 (/.f64 (fma.f64 6 x -6) (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 -6 (+.f64 x -1)) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) -6) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(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)) 2) 1/2)))) (#(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 (pow.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3) (pow.f64 (+.f64 x -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3)) 1/3)))) (#(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 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 log.f64 (*.f64 (exp.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (exp.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))))) (#(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 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3)))))) (#(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 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 exp.f64 (-.f64 (log.f64 (fma.f64 6 x -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 6 x -6)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) x) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) x (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (*.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) -1) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (*.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) x) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (*.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) -1) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (*.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) x) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) 1 (*.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (cbrt.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) 2) (cbrt.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) (sqrt.f64 (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 x)) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(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 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2)) (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2)) (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 x (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 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 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.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 6 (+.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 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 36 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 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 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 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) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 1× | saturated |
| Inputs |
|---|
-6 |
6 |
6 |
6 |
(/.f64 6 x) |
(/.f64 6 x) |
| Outputs |
|---|
-6 |
6 |
6 |
6 |
(/.f64 6 x) |
(/.f64 6 x) |
Compiled 8880 to 6592 computations (25.8% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 500 | 11 | 511 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 1 | 5 |
| Total | 509 | 17 | 526 |
| Status | Error | Program |
|---|---|---|
| 31.4b | (*.f64 6 (/.f64 (+.f64 x -1) x)) | |
| 34.4b | -6 | |
| 33.0b | (-.f64 (*.f64 12 x) 6) | |
| 0.2b | (/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6))) | |
| ▶ | 0.2b | (/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) |
| ▶ | 31.5b | (/.f64 (*.f64 6 (-.f64 x 1)) x) |
| 0.1b | (*.f64 6 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))) | |
| ▶ | 31.5b | (/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
| 0.1b | (*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) | |
| ▶ | 31.5b | (+.f64 6 (/.f64 -12 x)) |
| 14.9b | (/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))) | |
| ✓ | 0.1b | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| 32.6b | 6 | |
| 4.0b | (/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) | |
| 31.3b | (/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) | |
| 4.1b | (*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1)) | |
| ▶ | 0.0b | (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))) |
Compiled 357 to 284 computations (20.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) |
| ✓ | 0.0b | (+.f64 (*.f64 4 (sqrt.f64 x)) x) |
| ✓ | 0.0b | (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))) |
| ✓ | 0.1b | (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) |
Compiled 55 to 36 computations (34.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) |
| 0.0ms | x | @ | -inf | (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) |
| 0.0ms | x | @ | inf | (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))) |
| 1× | batch-egg-rewrite |
| 634× | log-prod_binary64 |
| 512× | fma-def_binary64 |
| 357× | pow2_binary64 |
| 307× | fma-neg_binary64 |
| 246× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 52 |
| 1 | 291 | 52 |
| 2 | 3947 | 50 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) |
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))) |
(+.f64 (*.f64 4 (sqrt.f64 x)) x) |
(+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(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 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.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 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -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 (+.f64 x -1) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (+.f64 x (fma.f64 4 (sqrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 6 -6)) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) 1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (neg.f64 x)) 6) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 1 (neg.f64 x))) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 x 6 -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 x (fma.f64 4 (sqrt.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 -.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 16) (-.f64 (sqrt.f64 (*.f64 x 16)) x)) (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (*.f64 x 16)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) 4))))) (#(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 1 (fma.f64 4 (sqrt.f64 x) x))))) (#(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 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 x 16))) (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 16) (*.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (*.f64 x 16)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 x 16))) (*.f64 x 16)) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 x 16))) (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 x 3)) (fma.f64 x x (-.f64 (*.f64 x 16) (*.f64 4 (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 16) (*.f64 x x)) (-.f64 (sqrt.f64 (*.f64 x 16)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 x 16))) (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x 16) (*.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 x 16)) (-.f64 x (sqrt.f64 (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 x 3)) 1) (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 x 16))) (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x 16) (*.f64 x x)) 1) (-.f64 (sqrt.f64 (*.f64 x 16)) 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 pow.f64 (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 x 16))) (*.f64 x 16)) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x))) -1)))) (#(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 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (*.f64 x 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 16))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 16))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 16)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 (*.f64 x 16))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 16)))) (+.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 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))))) (#(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 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 fma.f64 x 1 (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 4 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 16)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 x 16)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 16))) (cbrt.f64 (*.f64 x 16)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (cbrt.f64 (sqrt.f64 (*.f64 x 16))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x 1/4)) (*.f64 2 (pow.f64 x 1/4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) x))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (+.f64 x (fma.f64 4 (sqrt.f64 x) -1))) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) (/.f64 1 (+.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 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))) (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) -1)) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x 16 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (sqrt.f64 (*.f64 x 16)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (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 (*.f64 x 16) (pow.f64 (+.f64 x 1) 2)) (-.f64 (sqrt.f64 (*.f64 x 16)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))) (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) -1)) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 16)))) (exp.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (exp.f64 (sqrt.f64 (*.f64 x 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 16))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.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 fma.f64 x 1 (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (sqrt.f64 x) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 4 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 4 (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (+.f64 4 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 16)) 1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 16)) 1 (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 x 16)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 x 16)) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (*.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 16))) (cbrt.f64 (*.f64 x 16)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 16))) (cbrt.f64 (*.f64 x 16)) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (cbrt.f64 (sqrt.f64 (*.f64 x 16))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (cbrt.f64 (sqrt.f64 (*.f64 x 16))) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x 1/4)) (*.f64 2 (pow.f64 x 1/4)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x 1/4)) (*.f64 2 (pow.f64 x 1/4)) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 x 16))) (*.f64 x 16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x 16) (*.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (*.f64 x 16)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (*.f64 (+.f64 x 1) 1)))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 1 | 8 | 11 |
| 1× | saturated |
| Inputs |
|---|
-1 |
1 |
1 |
-6 |
6 |
6 |
x |
x |
1 |
x |
x |
| Outputs |
|---|
-1 |
1 |
1 |
-6 |
6 |
6 |
x |
x |
1 |
x |
x |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 6 (/.f64 -12 x)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 6 (/.f64 -12 x)) |
| 0.0ms | x | @ | inf | (+.f64 6 (/.f64 -12 x)) |
| 0.0ms | x | @ | -inf | (+.f64 6 (/.f64 -12 x)) |
| 1× | batch-egg-rewrite |
| 708× | pow1_binary64 |
| 673× | add-log-exp_binary64 |
| 673× | log1p-expm1-u_binary64 |
| 673× | expm1-log1p-u_binary64 |
| 663× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 139 | 7 |
| 2 | 1759 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 6 (/.f64 -12 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 6 (/.f64 -12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (-.f64 6 (/.f64 -12 x))) (/.f64 (/.f64 144 (*.f64 x x)) (-.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 6 (/.f64 -12 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 2) (cbrt.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 6 (/.f64 -12 x))) (sqrt.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 216 (/.f64 -1728 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (-.f64 (/.f64 144 (*.f64 x x)) (/.f64 -72 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (-.f64 (/.f64 144 (*.f64 x x)) (/.f64 -72 x))) (+.f64 216 (/.f64 -1728 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -1728 (pow.f64 x 3))) (+.f64 36 (-.f64 (/.f64 144 (*.f64 x x)) (/.f64 -72 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -1728 (pow.f64 x 3))) (+.f64 (/.f64 144 (*.f64 x x)) (-.f64 36 (/.f64 -72 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (-.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (/.f64 -1728 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (-.f64 (/.f64 144 (*.f64 x x)) (/.f64 -72 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (/.f64 144 (*.f64 x x)))) (neg.f64 (-.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 144 (*.f64 x x)) 36) (-.f64 (/.f64 -12 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (/.f64 -12 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 6 (/.f64 -12 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 (/.f64 1 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -12 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 144 (*.f64 x x))) (cbrt.f64 (/.f64 -12 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -12 x)) (sqrt.f64 (/.f64 -12 x)) 6))))) |
| 1× | egg-herbie |
| 16× | fma-def_binary64 |
| 11× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 69 |
| 1 | 20 | 69 |
| 2 | 31 | 69 |
| 3 | 47 | 69 |
| 4 | 62 | 69 |
| 5 | 80 | 69 |
| 6 | 98 | 69 |
| 7 | 113 | 69 |
| 8 | 120 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -12 x) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -12 x) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 6 (-.f64 x 1)) | |
| ✓ | 0.1b | (/.f64 (*.f64 6 (-.f64 x 1)) x) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 6 (-.f64 x 1)) x) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 6 (-.f64 x 1)) x) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 6 (-.f64 x 1)) x) |
| 1× | batch-egg-rewrite |
| 830× | pow1_binary64 |
| 782× | add-log-exp_binary64 |
| 781× | log1p-expm1-u_binary64 |
| 781× | expm1-log1p-u_binary64 |
| 768× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 154 | 10 |
| 2 | 2091 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 6 (-.f64 x 1)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 6 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (/.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 6 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 6) -6) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) (*.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 2) (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (*.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) (sqrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -1) -6) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (*.f64 x 6) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) 1) (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) 1) (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (*.f64 x 6) -6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 6 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (sqrt.f64 x)) (/.f64 (+.f64 x -1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (sqrt.f64 x)) (/.f64 6 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (*.f64 x 6) -6) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 x 6) -6) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (*.f64 x 6) -6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)))))))) |
| 1× | egg-herbie |
| 22× | fma-def_binary64 |
| 15× | sub-neg_binary64 |
| 8× | +-commutative_binary64 |
| 8× | fma-neg_binary64 |
| 7× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 69 |
| 1 | 19 | 69 |
| 2 | 30 | 69 |
| 3 | 48 | 69 |
| 4 | 66 | 69 |
| 5 | 91 | 69 |
| 6 | 121 | 69 |
| 7 | 149 | 69 |
| 8 | 167 | 69 |
| 9 | 170 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -6 x) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -6 x) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 x -6 6) | |
| ✓ | 0.1b | (/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
Compiled 17 to 11 computations (35.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
| 1× | batch-egg-rewrite |
| 634× | pow1_binary64 |
| 593× | add-log-exp_binary64 |
| 592× | log1p-expm1-u_binary64 |
| 592× | expm1-log1p-u_binary64 |
| 583× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 150 | 8 |
| 2 | 1925 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 x -6 6) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x -6 6) x))))) (#(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 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(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 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) x)) (sqrt.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x -6 6)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (fma.f64 x -6 6) x))))) (#(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)) x))))) (#(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)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x -6 6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x -6 6) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) (sqrt.f64 x)))))) (#(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)) x))))) (#(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)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -6 6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x -6 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x -6 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -6 6) x))))))) |
| 1× | egg-herbie |
| 22× | fma-def_binary64 |
| 15× | sub-neg_binary64 |
| 8× | +-commutative_binary64 |
| 8× | fma-neg_binary64 |
| 7× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 69 |
| 1 | 19 | 69 |
| 2 | 30 | 69 |
| 3 | 48 | 69 |
| 4 | 66 | 69 |
| 5 | 91 | 69 |
| 6 | 121 | 69 |
| 7 | 149 | 69 |
| 8 | 167 | 69 |
| 9 | 170 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -6 x) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -6 x) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) | |
| 0.0b | (fma.f64 4 (sqrt.f64 x) x) | |
| ✓ | 0.0b | (/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) |
| ✓ | 0.2b | (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) |
Compiled 45 to 29 computations (35.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) |
| 1.0ms | x | @ | -inf | (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) |
| 1× | batch-egg-rewrite |
| 554× | log-prod_binary64 |
| 327× | pow-prod-down_binary64 |
| 315× | pow2_binary64 |
| 255× | prod-diff_binary64 |
| 220× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 1 | 260 | 32 |
| 2 | 3347 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) |
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 1/6 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (fma.f64 4 (sqrt.f64 x) x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) 1/6) (+.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 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) 1/6) (fma.f64 4 (sqrt.f64 x) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (+.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 1/6 (+.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 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (fma.f64 4 (sqrt.f64 x) x) 1/6))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (*.f64 (cbrt.f64 (-.f64 x 1)) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2) (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x 1)) (*.f64 (sqrt.f64 (-.f64 x 1)) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) (sqrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x 1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x 1)) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) 1) (/.f64 (sqrt.f64 (-.f64 x 1)) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (-.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (cbrt.f64 (-.f64 x 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (sqrt.f64 (-.f64 x 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) 1/6) (/.f64 (sqrt.f64 (-.f64 x 1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (-.f64 x 1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) 1/6) (/.f64 (cbrt.f64 (-.f64 x 1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) -2) (/.f64 (-.f64 x 1) (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2)) (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2)) (/.f64 (sqrt.f64 (-.f64 x 1)) (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) -1/2) (/.f64 (-.f64 x 1) (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) (/.f64 (cbrt.f64 (-.f64 x 1)) (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) (-.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) (-.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x 1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 1)))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 12 |
| 1 | 7 | 12 |
| 1× | saturated |
| Inputs |
|---|
1/6 |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
-6 |
6 |
6 |
| Outputs |
|---|
1/6 |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
-6 |
6 |
6 |
Compiled 9392 to 6892 computations (26.6% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 558 | 12 | 570 |
| Fresh | 6 | 5 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 567 | 20 | 587 |
| Status | Error | Program |
|---|---|---|
| 32.6b | (/.f64 (*.f64 6 x) x) | |
| ▶ | 31.5b | (*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
| 0.2b | (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (-.f64 x 1) 1/6)) | |
| 34.4b | -6 | |
| 33.0b | (-.f64 (*.f64 12 x) 6) | |
| ▶ | 31.6b | (pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1) |
| 31.5b | (/.f64 (fma.f64 x 6 -6) x) | |
| 32.6b | 6 | |
| ✓ | 31.5b | (+.f64 6 (/.f64 -12 x)) |
| 0.2b | (/.f64 (+.f64 x -1) (+.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6) 1/6)) | |
| ▶ | 31.4b | (+.f64 6 (/.f64 -6 x)) |
| 32.0b | (/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x))))) | |
| ✓ | 0.1b | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| ▶ | 32.0b | (*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
| 0.2b | (/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6)) | |
| 4.0b | (/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) | |
| 31.3b | (/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) | |
| 4.1b | (*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1)) | |
| ✓ | 0.0b | (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))) |
| ▶ | 0.1b | (*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
Compiled 380 to 303 computations (20.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) | |
| 0.0b | (+.f64 (*.f64 4 (sqrt.f64 x)) x) | |
| ✓ | 0.1b | (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) |
| ✓ | 0.1b | (*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
Compiled 53 to 35 computations (34% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
| 0.0ms | x | @ | -inf | (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
| 0.0ms | x | @ | inf | (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) |
| 1× | batch-egg-rewrite |
| 638× | log-prod_binary64 |
| 545× | fma-def_binary64 |
| 324× | fma-neg_binary64 |
| 251× | pow1/3_binary64 |
| 246× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 32 |
| 1 | 298 | 32 |
| 2 | 4125 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
(/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1) (*.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 6 x -6)) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (+.f64 -1 (pow.f64 x 3))) (*.f64 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (fma.f64 x x -1)) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (fma.f64 x x -1)) (*.f64 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 6) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 6) (*.f64 (+.f64 x 1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 1) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x 1) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) -6) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -6) (*.f64 (+.f64 x 1) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3) (pow.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3)) (fma.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (-.f64 (*.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (*.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (-.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 6 x -6) 1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 6 x -6) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 6 x -6) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (+.f64 x -1)) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) -6) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) (pow.f64 (+.f64 x -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (exp.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 6 x -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 6 x -6)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (*.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) -1) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (*.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) x) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) x (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) -1 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) (*.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) -1) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) (*.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) x) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) -1) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) x) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1 (*.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (cbrt.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (cbrt.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (cbrt.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (cbrt.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (sqrt.f64 (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 x)) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 6) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2)) (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 x (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2)) (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.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 6 (+.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 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 1× | saturated |
| Inputs |
|---|
-6 |
6 |
6 |
6 |
(/.f64 6 x) |
(/.f64 6 x) |
| Outputs |
|---|
-6 |
6 |
6 |
6 |
(/.f64 6 x) |
(/.f64 6 x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 6 (/.f64 -6 x)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 6 (/.f64 -6 x)) |
| 0.0ms | x | @ | inf | (+.f64 6 (/.f64 -6 x)) |
| 0.0ms | x | @ | -inf | (+.f64 6 (/.f64 -6 x)) |
| 1× | batch-egg-rewrite |
| 686× | pow1_binary64 |
| 646× | add-log-exp_binary64 |
| 646× | log1p-expm1-u_binary64 |
| 646× | expm1-log1p-u_binary64 |
| 636× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 137 | 7 |
| 2 | 1710 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 6 (/.f64 -6 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 6 (/.f64 -6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (-.f64 6 (/.f64 -6 x))) (/.f64 (/.f64 36 (*.f64 x x)) (-.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 6 (/.f64 -6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 6 (/.f64 -6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) 2) (cbrt.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 6 (/.f64 -6 x))) (sqrt.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36 (/.f64 36 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x))) (+.f64 216 (/.f64 -216 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 6 (/.f64 -6 x)) (-.f64 36 (/.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3))) (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3))) (+.f64 (/.f64 36 (*.f64 x x)) (-.f64 36 (/.f64 -36 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (/.f64 36 (*.f64 x x))) (-.f64 6 (/.f64 -6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (/.f64 36 (*.f64 x x)))) (neg.f64 (-.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 36 (*.f64 x x)) 36) (-.f64 (/.f64 -6 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (/.f64 -6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -6 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 6 (/.f64 -6 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -6 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -6 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6 (/.f64 1 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -6 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -6 x)) 2) (cbrt.f64 (/.f64 -6 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -6 x)) (sqrt.f64 (/.f64 -6 x)) 6))))) |
| 1× | egg-herbie |
| 22× | fma-def_binary64 |
| 15× | sub-neg_binary64 |
| 8× | +-commutative_binary64 |
| 8× | fma-neg_binary64 |
| 7× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 69 |
| 1 | 19 | 69 |
| 2 | 30 | 69 |
| 3 | 48 | 69 |
| 4 | 66 | 69 |
| 5 | 91 | 69 |
| 6 | 121 | 69 |
| 7 | 149 | 69 |
| 8 | 167 | 69 |
| 9 | 170 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -6 x) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -6 x) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (+.f64 x -1) (/.f64 1 x)) |
| ✓ | 0.2b | (*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
Compiled 27 to 20 computations (25.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
| 0.0ms | x | @ | 0 | (*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 x -1) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 x -1) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 913× | pow1_binary64 |
| 854× | add-log-exp_binary64 |
| 853× | log1p-expm1-u_binary64 |
| 853× | expm1-log1p-u_binary64 |
| 840× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 189 | 17 |
| 2 | 2354 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
(*.f64 (+.f64 x -1) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 -6 (*.f64 6 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -6 (*.f64 6 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -6 (*.f64 6 x)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -6 (*.f64 6 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) 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 -1 (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) x) (*.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) -1) (*.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 x -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (/.f64 x (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 x (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 x (fma.f64 x x (-.f64 1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -1) (*.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -1 (pow.f64 x 3))) (*.f64 (neg.f64 x) (fma.f64 x x (-.f64 1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 x)) (fma.f64 x x (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -1) x))))))) |
| 1× | egg-herbie |
| 24× | fma-def_binary64 |
| 16× | sub-neg_binary64 |
| 8× | +-commutative_binary64 |
| 7× | *-commutative_binary64 |
| 6× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 138 |
| 1 | 24 | 138 |
| 2 | 37 | 138 |
| 3 | 58 | 138 |
| 4 | 76 | 138 |
| 5 | 104 | 138 |
| 6 | 136 | 138 |
| 7 | 163 | 138 |
| 8 | 169 | 138 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -6 x) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -6 x) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (/.f64 1 (-.f64 6 (/.f64 -12 x))) |
| ✓ | 0.8b | (/.f64 144 (*.f64 x x)) |
| ✓ | 12.5b | (*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
Compiled 52 to 36 computations (30.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
| 1.0ms | x | @ | 0 | (/.f64 144 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 6 (/.f64 -12 x))) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
| 0.0ms | x | @ | -inf | (*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
| 1× | batch-egg-rewrite |
| 570× | log-prod_binary64 |
| 333× | pow2_binary64 |
| 293× | prod-diff_binary64 |
| 229× | pow1/3_binary64 |
| 229× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 36 |
| 1 | 321 | 24 |
| 2 | 4266 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
(/.f64 144 (*.f64 x x)) |
(/.f64 1 (-.f64 6 (/.f64 -12 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (/.f64 -12 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -12 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 36 (/.f64 1 (+.f64 6 (/.f64 -12 x)))) (*.f64 (*.f64 144 (pow.f64 x -2)) (/.f64 1 (+.f64 6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) 36) (*.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) (*.f64 144 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6 (/.f64 -12 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 6 (/.f64 -12 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 6 (/.f64 -12 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 6 (/.f64 -12 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 6 (/.f64 -12 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 6 (/.f64 (/.f64 -12 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 6 (/.f64 -12 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (+.f64 6 (/.f64 -12 x))) (/.f64 (*.f64 144 (pow.f64 x -2)) (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 216 (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x)))) (/.f64 (/.f64 -1728 (pow.f64 x 3)) (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 144 (pow.f64 x -2) 36) (+.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 6 (/.f64 -12 x)) (fma.f64 144 (pow.f64 x -2) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x))) (-.f64 216 (/.f64 -1728 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 6 (/.f64 -12 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 2) (/.f64 -1 (cbrt.f64 (+.f64 -6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 144 (pow.f64 x -2) 36) 2)) (/.f64 (+.f64 6 (/.f64 -12 x)) (cbrt.f64 (fma.f64 144 (pow.f64 x -2) 36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 6 (/.f64 -12 x))) (pow.f64 (+.f64 6 (/.f64 -12 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 144 (pow.f64 x -2) 36)) (/.f64 (+.f64 6 (/.f64 -12 x)) (sqrt.f64 (fma.f64 144 (pow.f64 x -2) 36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -6 (/.f64 -12 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3))) (*.f64 (+.f64 6 (/.f64 -12 x)) (+.f64 1296 (fma.f64 5184 (pow.f64 x -2) (/.f64 20736 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 216 (/.f64 -1728 (pow.f64 x 3))) (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1296 (/.f64 20736 (pow.f64 x 4))) (*.f64 (+.f64 6 (/.f64 -12 x)) (fma.f64 144 (pow.f64 x -2) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 144 (pow.f64 x -2) 36)) (+.f64 -6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 216 (/.f64 -1728 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3))) 1) (*.f64 (+.f64 1296 (fma.f64 5184 (pow.f64 x -2) (/.f64 20736 (pow.f64 x 4)))) (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1296 (/.f64 20736 (pow.f64 x 4))) 1) (*.f64 (fma.f64 144 (pow.f64 x -2) 36) (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3))) -1) (*.f64 (+.f64 1296 (fma.f64 5184 (pow.f64 x -2) (/.f64 20736 (pow.f64 x 4)))) (+.f64 -6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1296 (/.f64 20736 (pow.f64 x 4))) -1) (*.f64 (fma.f64 144 (pow.f64 x -2) 36) (+.f64 -6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (+.f64 -6 (/.f64 -12 x)) (+.f64 1296 (fma.f64 5184 (pow.f64 x -2) (/.f64 20736 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 1296 (/.f64 20736 (pow.f64 x 4)))) (*.f64 (+.f64 -6 (/.f64 -12 x)) (fma.f64 144 (pow.f64 x -2) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 144 (pow.f64 x -2) 36) (sqrt.f64 (+.f64 6 (/.f64 -12 x)))) (sqrt.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 144 (pow.f64 x -2) 36) 1) (+.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 144 (pow.f64 x -2) 36) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 2)) (cbrt.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -1728 (pow.f64 x 3))) (+.f64 36 (-.f64 (*.f64 144 (pow.f64 x -2)) (/.f64 -72 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 6 (/.f64 -12 x)))) (+.f64 1296 (fma.f64 5184 (pow.f64 x -2) (/.f64 20736 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1296 (/.f64 20736 (pow.f64 x 4))) (/.f64 1 (+.f64 6 (/.f64 -12 x)))) (fma.f64 144 (pow.f64 x -2) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 144 (pow.f64 x -2) 36)) (+.f64 -6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 144 (pow.f64 x -2) 36) -1) (+.f64 -6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 1296 (fma.f64 5184 (pow.f64 x -2) (/.f64 20736 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) (+.f64 1296 (/.f64 20736 (pow.f64 x 4)))) (fma.f64 144 (pow.f64 x -2) 36))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (/.f64 -12 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 6 (/.f64 -12 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 144 (pow.f64 x -2) 36) 3) (pow.f64 (+.f64 6 (/.f64 -12 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 144 (pow.f64 x -2) 36) 3) (pow.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) 3) (pow.f64 (fma.f64 144 (pow.f64 x -2) 36) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 6 (/.f64 -12 x)) (fma.f64 144 (pow.f64 x -2) 36)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x))) (-.f64 216 (/.f64 -1728 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 144 (pow.f64 x -2) 36) 3) (pow.f64 (+.f64 6 (/.f64 -12 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 144 (pow.f64 x -2) 36) 3) (pow.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) 3) (pow.f64 (fma.f64 144 (pow.f64 x -2) 36) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 6 (/.f64 -12 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 36 (/.f64 1 (+.f64 6 (/.f64 -12 x))) (*.f64 (*.f64 144 (pow.f64 x -2)) (/.f64 1 (+.f64 6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -12 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 (/.f64 1 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 (neg.f64 (/.f64 1 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -12 x) 1 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) 36 (*.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) (*.f64 144 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -12 x)) (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2) (cbrt.f64 (/.f64 -12 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2) (neg.f64 (cbrt.f64 (/.f64 -12 x))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -12 x)) (sqrt.f64 (/.f64 -12 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -12 x)) (neg.f64 (sqrt.f64 (/.f64 -12 x))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (/.f64 1 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (sqrt.f64 (pow.f64 x -2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (/.f64 1 (neg.f64 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -12 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -12 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (/.f64 20736 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 -12 x))) (sqrt.f64 (/.f64 -12 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2)) (cbrt.f64 (/.f64 -12 x)) 6))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 144 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 144) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 144) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 144) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 144) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 144 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 144 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 144 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 144 (pow.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 144 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 144 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 144 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -12 (*.f64 (/.f64 1 x) (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -12 x) (/.f64 -12 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2) (cbrt.f64 (/.f64 20736 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2) (*.f64 (cbrt.f64 (/.f64 -12 x)) (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 20736 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 20736 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -12 x)) (*.f64 (sqrt.f64 (/.f64 -12 x)) (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 144 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -144 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -144 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 144)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 144 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -12 x)) 3) (sqrt.f64 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 20736 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -12 x) -12) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -12 x) (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2)) (cbrt.f64 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 144 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -12 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 -12 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/144) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/12) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) 1/144) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 144 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 20736 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 144) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 144 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 144) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 144 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (/.f64 1 (pow.f64 (exp.f64 144) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 144 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 144 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 -12 x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 -6 (/.f64 -12 x)))) (cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) -2)) (/.f64 -1 (cbrt.f64 (+.f64 -6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) -1/2) (pow.f64 (+.f64 6 (/.f64 -12 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 -6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 144 (pow.f64 x -2) 36)) (+.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 216 (/.f64 -1728 (pow.f64 x 3)))) (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (/.f64 -12 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -6 (/.f64 -12 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 -6 (/.f64 -12 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 6 (/.f64 -12 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 6 (/.f64 -12 x)))) 1)))))) |
| 1× | egg-herbie |
| 805× | unswap-sqr_binary64 |
| 588× | associate-/r*_binary64 |
| 397× | fma-def_binary64 |
| 340× | times-frac_binary64 |
| 278× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 309 |
| 1 | 115 | 309 |
| 2 | 270 | 306 |
| 3 | 733 | 298 |
| 4 | 2335 | 298 |
| 5 | 6328 | 298 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -12 x) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (pow.f64 x 2)) |
(*.f64 1/12 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/12 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/12 x))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/12 x)))) |
1/6 |
(-.f64 1/6 (*.f64 1/3 (/.f64 1 x))) |
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/3 (/.f64 1 x))) |
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 4/3 (/.f64 1 (pow.f64 x 3))))) |
1/6 |
(-.f64 1/6 (*.f64 1/3 (/.f64 1 x))) |
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/3 (/.f64 1 x))) |
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 4/3 (/.f64 1 (pow.f64 x 3))))) |
| Outputs |
|---|
(/.f64 -12 x) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
6 |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(-.f64 6 (*.f64 12 (/.f64 1 x))) |
(-.f64 6 (/.f64 12 x)) |
(+.f64 6 (/.f64 -12 x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(/.f64 144 (pow.f64 x 2)) |
(/.f64 144 (*.f64 x x)) |
(*.f64 1/12 x) |
(*.f64 x 1/12) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/12 x)) |
(fma.f64 -1/24 (*.f64 x x) (*.f64 x 1/12)) |
(fma.f64 x 1/12 (*.f64 x (*.f64 x -1/24))) |
(*.f64 x (+.f64 1/12 (*.f64 x -1/24))) |
(*.f64 x (fma.f64 x -1/24 1/12)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/12 x))) |
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/48 (pow.f64 x 3) (*.f64 x 1/12))) |
(fma.f64 (*.f64 x x) -1/24 (fma.f64 x 1/12 (*.f64 1/48 (pow.f64 x 3)))) |
(fma.f64 x 1/12 (*.f64 (*.f64 x x) (+.f64 -1/24 (*.f64 x 1/48)))) |
(*.f64 x (+.f64 1/12 (*.f64 x (fma.f64 x 1/48 -1/24)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/12 x)))) |
(fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/96 (pow.f64 x 4) (fma.f64 1/48 (pow.f64 x 3) (*.f64 x 1/12)))) |
(fma.f64 (*.f64 x x) -1/24 (fma.f64 -1/96 (pow.f64 x 4) (fma.f64 x 1/12 (*.f64 1/48 (pow.f64 x 3))))) |
(fma.f64 -1/96 (pow.f64 x 4) (fma.f64 x 1/12 (*.f64 (*.f64 x x) (+.f64 -1/24 (*.f64 x 1/48))))) |
(fma.f64 x (fma.f64 x -1/24 1/12) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x -1/96) 1/48))) |
(fma.f64 x (fma.f64 x -1/24 1/12) (*.f64 (pow.f64 x 3) (+.f64 1/48 (*.f64 x -1/96)))) |
1/6 |
(-.f64 1/6 (*.f64 1/3 (/.f64 1 x))) |
(-.f64 1/6 (/.f64 1/3 x)) |
(+.f64 1/6 (/.f64 -1/3 x)) |
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/3 (/.f64 1 x))) |
(-.f64 (+.f64 1/6 (/.f64 2/3 (*.f64 x x))) (/.f64 1/3 x)) |
(+.f64 (/.f64 2/3 (*.f64 x x)) (-.f64 1/6 (/.f64 1/3 x))) |
(+.f64 (+.f64 1/6 (/.f64 -1/3 x)) (/.f64 2/3 (*.f64 x x))) |
(+.f64 1/6 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x))) |
(+.f64 (-.f64 1/6 (/.f64 1/3 x)) (/.f64 2/3 (*.f64 x x))) |
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 4/3 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1/6 (-.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/3 (pow.f64 x 3))))) |
(+.f64 (/.f64 2/3 (*.f64 x x)) (-.f64 1/6 (+.f64 (/.f64 1/3 x) (/.f64 4/3 (pow.f64 x 3))))) |
(+.f64 1/6 (-.f64 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 4/3 (pow.f64 x 3)))) |
(+.f64 1/6 (+.f64 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 -4/3 (pow.f64 x 3)))) |
(+.f64 1/6 (-.f64 (/.f64 -4/3 (pow.f64 x 3)) (-.f64 (/.f64 1/3 x) (/.f64 2/3 (*.f64 x x))))) |
(+.f64 1/6 (+.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 (/.f64 -1/3 x) (/.f64 -4/3 (pow.f64 x 3))))) |
1/6 |
(-.f64 1/6 (*.f64 1/3 (/.f64 1 x))) |
(-.f64 1/6 (/.f64 1/3 x)) |
(+.f64 1/6 (/.f64 -1/3 x)) |
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/3 (/.f64 1 x))) |
(-.f64 (+.f64 1/6 (/.f64 2/3 (*.f64 x x))) (/.f64 1/3 x)) |
(+.f64 (/.f64 2/3 (*.f64 x x)) (-.f64 1/6 (/.f64 1/3 x))) |
(+.f64 (+.f64 1/6 (/.f64 -1/3 x)) (/.f64 2/3 (*.f64 x x))) |
(+.f64 1/6 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x))) |
(+.f64 (-.f64 1/6 (/.f64 1/3 x)) (/.f64 2/3 (*.f64 x x))) |
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 4/3 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1/6 (-.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/3 (pow.f64 x 3))))) |
(+.f64 (/.f64 2/3 (*.f64 x x)) (-.f64 1/6 (+.f64 (/.f64 1/3 x) (/.f64 4/3 (pow.f64 x 3))))) |
(+.f64 1/6 (-.f64 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 4/3 (pow.f64 x 3)))) |
(+.f64 1/6 (+.f64 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 -4/3 (pow.f64 x 3)))) |
(+.f64 1/6 (-.f64 (/.f64 -4/3 (pow.f64 x 3)) (-.f64 (/.f64 1/3 x) (/.f64 2/3 (*.f64 x x))))) |
(+.f64 1/6 (+.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 (/.f64 -1/3 x) (/.f64 -4/3 (pow.f64 x 3))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x 6) -6) |
| ✓ | 0.1b | (pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1) |
| ✓ | 0.2b | (/.f64 x (+.f64 (*.f64 x 6) -6)) |
Compiled 29 to 22 computations (24.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1) |
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1) |
| 1.0ms | x | @ | 0 | (/.f64 x (+.f64 (*.f64 x 6) -6)) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 (*.f64 x 6) -6)) |
| 1× | batch-egg-rewrite |
| 423× | log-prod_binary64 |
| 332× | exp-prod_binary64 |
| 256× | cbrt-unprod_binary64 |
| 253× | prod-exp_binary64 |
| 242× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 200 | 21 |
| 2 | 2501 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 x 6) -6)) |
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1) |
(+.f64 (*.f64 x 6) -6) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x 6 -6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x 6 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x 6 -6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x 6 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x 6 -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 6 -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x 6 -6))) (sqrt.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 6 -6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) -2) (/.f64 x (cbrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 6 -6) -1/2) (/.f64 x (sqrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 6 -6))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 (pow.f64 x 3) 216 -216)) (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 36 (*.f64 x x) -36)) (fma.f64 x 6 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x 6 -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 6 -6) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 6 -6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 6 -6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 6 -6) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x 6 -6)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x 6 -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x 6 -6))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x 6 -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 6 -6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (neg.f64 (fma.f64 x 6 -6)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 x 6 -6)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x 6 -6)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 6 -6) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (fma.f64 x 6 -6)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x 6 -6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x 6 -6)))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 6 -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 x 6 -6) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 6 -6) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 6 -6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 6 -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x)) (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(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)) x))))) (#(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)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 x 6 -6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 6 -6) 2) (*.f64 x x))) (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 x 6 -6) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x 6 -6)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (fma.f64 x 6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))) -2) (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 6 -6) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (fma.f64 x 6 -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (/.f64 x (cbrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x 6 -6)) (/.f64 x (sqrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 6 -6)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 216 -216) (*.f64 x (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 36 (*.f64 x x) -36) (*.f64 x (fma.f64 x 6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x)) (sqrt.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1) (/.f64 1 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))) -2) (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (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 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 x 6 -6)) 3) (pow.f64 (neg.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) -3/2) (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 x 6 -6) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 6 -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 36 (*.f64 x x)) (fma.f64 x 6 6)) (/.f64 36 (fma.f64 x 6 6)))))) (#(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 (fma.f64 (pow.f64 x 3) 216 -216) (/.f64 1 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 36 (*.f64 x x) -36) (/.f64 1 (fma.f64 x 6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)) (fma.f64 (pow.f64 x 3) 216 -216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 6 6) (fma.f64 36 (*.f64 x x) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 216 -216) (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 216 -216) (+.f64 36 (-.f64 (*.f64 36 (*.f64 x x)) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 36 (*.f64 x x) -36) (fma.f64 x 6 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 216 -216)) (neg.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 36 (*.f64 x x) -36)) (neg.f64 (fma.f64 x 6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (*.f64 36 (*.f64 x x))) (-.f64 -6 (*.f64 x 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) 2) 1/2)))) (#(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 pow.f64 (/.f64 1 (fma.f64 x 6 -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)) (fma.f64 (pow.f64 x 3) 216 -216)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 6 6) (fma.f64 36 (*.f64 x x) -36)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 6 -6))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 6 -6)))) (sqrt.f64 (log.f64 (fma.f64 x 6 -6))))))) (#(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 cbrt.f64 (pow.f64 (fma.f64 x 6 -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 216 -216) 3) (pow.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 36 (*.f64 x x) -36) 3) (pow.f64 (fma.f64 x 6 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 6 -6)))))) (#(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 (*.f64 3 (log.f64 (fma.f64 x 6 -6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 6 -6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 6 -6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 6 -6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 6) 1 -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 6)) (cbrt.f64 (*.f64 36 (*.f64 x x))) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 36 (*.f64 x x))) (cbrt.f64 (*.f64 x 6)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 6)) (sqrt.f64 (*.f64 x 6)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (sqrt.f64 x)) (sqrt.f64 x) -6))))) |
| 1× | egg-herbie |
| 805× | unswap-sqr_binary64 |
| 742× | distribute-rgt-out_binary64 |
| 591× | fma-def_binary64 |
| 350× | distribute-lft-out_binary64 |
| 282× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 276 |
| 1 | 109 | 270 |
| 2 | 261 | 267 |
| 3 | 713 | 260 |
| 4 | 2259 | 247 |
| 5 | 5361 | 247 |
| 6 | 7476 | 247 |
| 7 | 7849 | 247 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/6 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/6 x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 -1/6 x)))) |
1/6 |
(+.f64 1/6 (*.f64 1/6 (/.f64 1 x))) |
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3)))))) |
1/6 |
(+.f64 1/6 (*.f64 1/6 (/.f64 1 x))) |
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 -6 x) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
-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) |
| Outputs |
|---|
(*.f64 -1/6 x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/6 x)) |
(*.f64 -1/6 (+.f64 (*.f64 x x) x)) |
(*.f64 -1/6 (fma.f64 x x x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/6 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/6 (+.f64 (*.f64 x x) x))) |
(*.f64 -1/6 (+.f64 (fma.f64 x x x) (pow.f64 x 3))) |
(*.f64 -1/6 (+.f64 x (*.f64 x (fma.f64 x x x)))) |
(*.f64 -1/6 (fma.f64 x (fma.f64 x x x) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 -1/6 x)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/6 (+.f64 (pow.f64 x 4) x)))) |
(+.f64 (*.f64 -1/6 (+.f64 (fma.f64 x x x) (pow.f64 x 3))) (*.f64 -1/6 (pow.f64 x 4))) |
(*.f64 -1/6 (+.f64 (+.f64 x (*.f64 x (fma.f64 x x x))) (pow.f64 x 4))) |
(*.f64 (fma.f64 x x 1) (*.f64 -1/6 (fma.f64 x x x))) |
(*.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 -1/6 x -1/6)) |
1/6 |
(+.f64 1/6 (*.f64 1/6 (/.f64 1 x))) |
(+.f64 1/6 (/.f64 1/6 x)) |
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1/6 x) (+.f64 1/6 (/.f64 1/6 (*.f64 x x)))) |
(+.f64 1/6 (+.f64 (/.f64 1/6 x) (/.f64 1/6 (*.f64 x x)))) |
(+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 1/6 (/.f64 1/6 x))) |
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 1/6 x) (+.f64 1/6 (+.f64 (/.f64 1/6 (*.f64 x x)) (/.f64 1/6 (pow.f64 x 3))))) |
(+.f64 (+.f64 (+.f64 1/6 (/.f64 1/6 x)) (/.f64 1/6 (pow.f64 x 3))) (/.f64 1/6 (*.f64 x x))) |
(+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 (/.f64 1/6 (pow.f64 x 3)) (+.f64 1/6 (/.f64 1/6 x)))) |
(+.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 1/6 (/.f64 1/6 x))) (/.f64 1/6 (pow.f64 x 3))) |
(*.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 1/6 (/.f64 1/6 x))) |
1/6 |
(+.f64 1/6 (*.f64 1/6 (/.f64 1 x))) |
(+.f64 1/6 (/.f64 1/6 x)) |
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1/6 x) (+.f64 1/6 (/.f64 1/6 (*.f64 x x)))) |
(+.f64 1/6 (+.f64 (/.f64 1/6 x) (/.f64 1/6 (*.f64 x x)))) |
(+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 1/6 (/.f64 1/6 x))) |
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 1/6 x) (+.f64 1/6 (+.f64 (/.f64 1/6 (*.f64 x x)) (/.f64 1/6 (pow.f64 x 3))))) |
(+.f64 (+.f64 (+.f64 1/6 (/.f64 1/6 x)) (/.f64 1/6 (pow.f64 x 3))) (/.f64 1/6 (*.f64 x x))) |
(+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 (/.f64 1/6 (pow.f64 x 3)) (+.f64 1/6 (/.f64 1/6 x)))) |
(+.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 1/6 (/.f64 1/6 x))) (/.f64 1/6 (pow.f64 x 3))) |
(*.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 1/6 (/.f64 1/6 x))) |
(/.f64 -6 x) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
6 |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 6 (*.f64 6 (/.f64 1 x))) |
(-.f64 6 (/.f64 6 x)) |
(+.f64 6 (/.f64 -6 x)) |
-6 |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(fma.f64 x 6 -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(fma.f64 x 6 -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(fma.f64 x 6 -6) |
(*.f64 6 x) |
(*.f64 x 6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(fma.f64 x 6 -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(fma.f64 x 6 -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(fma.f64 x 6 -6) |
(*.f64 6 x) |
(*.f64 x 6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(fma.f64 x 6 -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(fma.f64 x 6 -6) |
(-.f64 (*.f64 6 x) 6) |
(fma.f64 6 x -6) |
(fma.f64 x 6 -6) |
Compiled 11870 to 9026 computations (24% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 705 | 7 | 712 |
| Fresh | 4 | 8 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 6 | 7 |
| Total | 711 | 21 | 732 |
| Status | Error | Program |
|---|---|---|
| 31.5b | (/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x)))) | |
| 31.5b | (/.f64 (fma.f64 x 6 -6) x) | |
| 34.4b | -6 | |
| 33.0b | (*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x))) | |
| 0.2b | (/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6)) | |
| 32.6b | (/.f64 (*.f64 6 x) x) | |
| ✓ | 31.5b | (*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
| 0.2b | (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (-.f64 x 1) 1/6)) | |
| 4.1b | (*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1)) | |
| 32.7b | (pow.f64 (/.f64 x (*.f64 x 6)) -1) | |
| ✓ | 0.1b | (*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
| 32.6b | 6 | |
| ✓ | 31.5b | (+.f64 6 (/.f64 -12 x)) |
| 0.2b | (/.f64 (+.f64 x -1) (+.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6) 1/6)) | |
| ✓ | 31.4b | (+.f64 6 (/.f64 -6 x)) |
| 31.6b | (/.f64 1 (/.f64 x (fma.f64 x 6 -6))) | |
| ✓ | 0.1b | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| 33.0b | (-.f64 (*.f64 12 x) 6) | |
| 4.0b | (/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) | |
| 31.3b | (/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) | |
| ✓ | 0.0b | (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))) |
Compiled 209 to 167 computations (20.1% saved)
| Inputs |
|---|
-6 |
6 |
-6 |
6 |
6 |
6 |
-6 |
(/.f64 (*.f64 6 x) x) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 (*.f64 12 x) 6) |
(+.f64 6 (/.f64 -12 x)) |
(*.f64 6 (/.f64 (+.f64 x -1) x)) |
(/.f64 (*.f64 6 (-.f64 x 1)) x) |
(/.f64 (*.f64 6 (-.f64 x 1)) 1) |
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x)))) |
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) |
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1)) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x))) |
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x))))) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x -6 6) -1) |
(pow.f64 (/.f64 x (*.f64 x 6)) -1) |
(/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
(/.f64 1 (/.f64 x (fma.f64 x 6 -6))) |
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1) |
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6)) |
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))) |
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
(/.f64 (+.f64 x -1) (+.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6) 1/6)) |
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) |
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) |
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)) |
(*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (-.f64 x 1) 1/6)) |
(*.f64 6 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))) |
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) |
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))) |
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6))) |
(/.f64 (*.f64 6 (-.f64 x 1)) (fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 4 (sqrt.f64 x)))) |
(pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -1) |
| Outputs |
|---|
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))) |
3 calls:
| 24.0ms | x |
| 8.0ms | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| 7.0ms | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| 0.0b | 1 | (/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
Compiled 466 to 345 computations (26% saved)
| Inputs |
|---|
-6 |
6 |
-6 |
6 |
6 |
6 |
-6 |
(/.f64 (*.f64 6 x) x) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 (*.f64 12 x) 6) |
(+.f64 6 (/.f64 -12 x)) |
(*.f64 6 (/.f64 (+.f64 x -1) x)) |
(/.f64 (*.f64 6 (-.f64 x 1)) x) |
(/.f64 (*.f64 6 (-.f64 x 1)) 1) |
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x)))) |
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) |
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1)) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x))) |
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x))))) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x -6 6) -1) |
(pow.f64 (/.f64 x (*.f64 x 6)) -1) |
(/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
(/.f64 1 (/.f64 x (fma.f64 x 6 -6))) |
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1) |
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6)) |
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
| Outputs |
|---|
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
1 calls:
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
Compiled 227 to 172 computations (24.2% saved)
| Inputs |
|---|
-6 |
6 |
-6 |
6 |
6 |
6 |
-6 |
(/.f64 (*.f64 6 x) x) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 (*.f64 12 x) 6) |
(+.f64 6 (/.f64 -12 x)) |
(*.f64 6 (/.f64 (+.f64 x -1) x)) |
(/.f64 (*.f64 6 (-.f64 x 1)) x) |
(/.f64 (*.f64 6 (-.f64 x 1)) 1) |
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x)))) |
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) |
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1)) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x))) |
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x))))) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x -6 6) -1) |
(pow.f64 (/.f64 x (*.f64 x 6)) -1) |
(/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
(/.f64 1 (/.f64 x (fma.f64 x 6 -6))) |
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1) |
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6)) |
| Outputs |
|---|
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6)) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
Compiled 213 to 162 computations (23.9% saved)
| Inputs |
|---|
-6 |
6 |
-6 |
6 |
6 |
6 |
-6 |
(/.f64 (*.f64 6 x) x) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 (*.f64 12 x) 6) |
(+.f64 6 (/.f64 -12 x)) |
(*.f64 6 (/.f64 (+.f64 x -1) x)) |
(/.f64 (*.f64 6 (-.f64 x 1)) x) |
(/.f64 (*.f64 6 (-.f64 x 1)) 1) |
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x)))) |
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) |
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1)) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x))) |
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x))))) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x -6 6) -1) |
(pow.f64 (/.f64 x (*.f64 x 6)) -1) |
(/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
(/.f64 1 (/.f64 x (fma.f64 x 6 -6))) |
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1) |
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) |
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) |
1 calls:
| 30.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.9b | 2 | x |
Compiled 199 to 152 computations (23.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 1.370840529417722 | 49.65230930963503 |
Compiled 19 to 15 computations (21.1% saved)
| Inputs |
|---|
-6 |
6 |
-6 |
6 |
6 |
6 |
-6 |
(/.f64 (*.f64 6 x) x) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 (*.f64 12 x) 6) |
(+.f64 6 (/.f64 -12 x)) |
(*.f64 6 (/.f64 (+.f64 x -1) x)) |
(/.f64 (*.f64 6 (-.f64 x 1)) x) |
(/.f64 (*.f64 6 (-.f64 x 1)) 1) |
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x)))) |
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) |
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1)) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x))) |
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x))))) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x -6 6) -1) |
(pow.f64 (/.f64 x (*.f64 x 6)) -1) |
(/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
(/.f64 1 (/.f64 x (fma.f64 x 6 -6))) |
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1) |
| Outputs |
|---|
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
1 calls:
| 47.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 4.0b | 1 | x |
Compiled 187 to 143 computations (23.5% saved)
| Inputs |
|---|
-6 |
6 |
-6 |
6 |
6 |
6 |
-6 |
(/.f64 (*.f64 6 x) x) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 (*.f64 12 x) 6) |
(+.f64 6 (/.f64 -12 x)) |
(*.f64 6 (/.f64 (+.f64 x -1) x)) |
(/.f64 (*.f64 6 (-.f64 x 1)) x) |
(/.f64 (*.f64 6 (-.f64 x 1)) 1) |
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x)))) |
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) |
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1)) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x))) |
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x))))) |
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x)))) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x 6 -6) x) |
(/.f64 (fma.f64 x -6 6) -1) |
(pow.f64 (/.f64 x (*.f64 x 6)) -1) |
(/.f64 (fma.f64 x -6 6) (neg.f64 x)) |
(/.f64 1 (/.f64 x (fma.f64 x 6 -6))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) |
1 calls:
| 110.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 4.0b | 1 | x |
Compiled 170 to 130 computations (23.5% saved)
| Inputs |
|---|
-6 |
6 |
-6 |
6 |
6 |
6 |
-6 |
(/.f64 (*.f64 6 x) x) |
(+.f64 6 (/.f64 -6 x)) |
(-.f64 (*.f64 12 x) 6) |
(+.f64 6 (/.f64 -12 x)) |
(*.f64 6 (/.f64 (+.f64 x -1) x)) |
(/.f64 (*.f64 6 (-.f64 x 1)) x) |
(/.f64 (*.f64 6 (-.f64 x 1)) 1) |
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x)))) |
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x))) |
| Outputs |
|---|
(-.f64 (*.f64 12 x) 6) |
(+.f64 6 (/.f64 -6 x)) |
1 calls:
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 4.0b | 2 | x |
Compiled 69 to 55 computations (20.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.021398597363671983 | 1.370840529417722 |
Compiled 19 to 15 computations (21.1% saved)
| Inputs |
|---|
-6 |
6 |
-6 |
6 |
6 |
6 |
-6 |
(/.f64 (*.f64 6 x) x) |
(+.f64 6 (/.f64 -6 x)) |
| Outputs |
|---|
-6 |
(+.f64 6 (/.f64 -6 x)) |
1 calls:
| 36.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 4.0b | 2 | x |
Compiled 20 to 16 computations (20% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.021398597363671983 | 1.370840529417722 |
Compiled 19 to 15 computations (21.1% saved)
Total -59.0b remaining (-1466.9%)
Threshold costs -59.0b (-1466.9%)
| Inputs |
|---|
-6 |
6 |
-6 |
6 |
6 |
6 |
-6 |
(/.f64 (*.f64 6 x) x) |
| Outputs |
|---|
-6 |
6 |
1 calls:
| 99.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 4.0b | 2 | x |
Compiled 15 to 12 computations (20% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.021398597363671983 | 1.370840529417722 |
Compiled 19 to 15 computations (21.1% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 167 |
| 1 | 63 | 167 |
| 2 | 67 | 167 |
| 3 | 69 | 167 |
| 4 | 70 | 167 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))) |
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6)) |
(if (<=.f64 x 3086858448735013/2251799813685248) (/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) (/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))) |
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) |
(if (<=.f64 x 394734449104012992/18446744073709551616) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -6 x))) |
(if (<=.f64 x 394734449104012992/18446744073709551616) -6 (+.f64 6 (/.f64 -6 x))) |
(if (<=.f64 x 394734449104012992/18446744073709551616) -6 6) |
-6 |
| Outputs |
|---|
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))) |
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 x (*.f64 4 (sqrt.f64 x))) 1))) |
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1)) |
(*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (+.f64 x (*.f64 4 (sqrt.f64 x))) 1))) |
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6)) |
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 x (*.f64 4 (sqrt.f64 x))) 1) 1/6)) |
(if (<=.f64 x 3086858448735013/2251799813685248) (/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) (/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))) |
(if (<=.f64 x 3086858448735013/2251799813685248) (/.f64 (+.f64 6 (*.f64 x -6)) (-.f64 -1 x)) (/.f64 (*.f64 6 x) (+.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)))) |
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) |
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) |
(/.f64 (+.f64 6 (*.f64 x -6)) (-.f64 -1 x)) |
(if (<=.f64 x 394734449104012992/18446744073709551616) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -6 x))) |
(if (<=.f64 x 6167725767250203/288230376151711744) (+.f64 (*.f64 x 12) -6) (+.f64 6 (/.f64 -6 x))) |
(if (<=.f64 x 6167725767250203/288230376151711744) (+.f64 -6 (*.f64 x 12)) (+.f64 6 (/.f64 -6 x))) |
(if (<=.f64 x 394734449104012992/18446744073709551616) -6 (+.f64 6 (/.f64 -6 x))) |
(if (<=.f64 x 6167725767250203/288230376151711744) -6 (+.f64 6 (/.f64 -6 x))) |
(if (<=.f64 x 394734449104012992/18446744073709551616) -6 6) |
(if (<=.f64 x 6167725767250203/288230376151711744) -6 6) |
-6 |
Compiled 125 to 100 computations (20% saved)
Compiled 116 to 88 computations (24.1% saved)
Loading profile data...