Time bar (total: 1.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 100% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 75% | 25% | 0% | 5 |
| 87.5% | 12.5% | 0% | 6 |
| 93.7% | 6.2% | 0% | 7 |
| 96.8% | 3.1% | 0% | 8 |
| 98.4% | 1.6% | 0% | 9 |
| 99.2% | 0.8% | 0% | 10 |
| 99.6% | 0.4% | 0% | 11 |
| 99.8% | 0.2% | 0% | 12 |
| 99.9% | 0.1% | 0% | 13 |
| 99.9% | 0% | 0% | 14 |
Compiled 13 to 10 computations (23.1% saved)
| 708.0ms | 8256× | body | 128 | valid |
Compiled 26 to 20 computations (23.1% saved)
| 2× | egg-herbie |
| 3× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 15 | 16 |
| 2 | 16 | 16 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| Outputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 15 | 16 |
| 2 | 16 | 16 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| Outputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
Compiled 47 to 35 computations (25.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
| ✓ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| ✓ | 0.0b | (/.f64 1 (-.f64 x 1)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| 1.0ms | x | @ | 0 | (/.f64 1 (-.f64 x 1)) |
| 1.0ms | x | @ | inf | (/.f64 1 (-.f64 x 1)) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 489× | fma-def_binary64 |
| 249× | fma-neg_binary64 |
| 229× | log-div_binary64 |
| 168× | expm1-udef_binary64 |
| 168× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 193 | 30 |
| 2 | 3141 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (-.f64 x 1)) |
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) (/.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(+.f64 x -1) -2)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 -1 x 1)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 x)) x (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))))))) |
| 1× | egg-herbie |
| 479× | fma-neg_binary64 |
| 456× | cancel-sign-sub-inv_binary64 |
| 420× | associate-*l*_binary64 |
| 314× | associate-*r*_binary64 |
| 212× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 488 |
| 1 | 183 | 470 |
| 2 | 553 | 457 |
| 3 | 1755 | 453 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(neg.f64 (+.f64 1 x)) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x))) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
x |
(-.f64 x (pow.f64 x 2)) |
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2)) |
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
| Outputs |
|---|
-1 |
(neg.f64 (+.f64 1 x)) |
(+.f64 -1 (neg.f64 x)) |
(-.f64 -1 x) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x))) |
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 x x)))) |
(-.f64 -1 (fma.f64 x x x)) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3))))) |
(+.f64 -1 (neg.f64 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))) |
(-.f64 -1 (fma.f64 x x (+.f64 x (pow.f64 x 3)))) |
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3)) |
(*.f64 (fma.f64 x x 1) (-.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(neg.f64 (+.f64 1 (*.f64 2 (*.f64 x x)))) |
(+.f64 -1 (*.f64 (*.f64 x x) -2)) |
(fma.f64 (*.f64 x x) -2 -1) |
(fma.f64 x (*.f64 x -2) -1) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (*.f64 x x))))) |
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (*.f64 x x) 1)) |
(-.f64 -1 (*.f64 2 (fma.f64 x x (pow.f64 x 4)))) |
(+.f64 -1 (*.f64 -2 (fma.f64 x x (pow.f64 x 4)))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x)))))) |
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 1)) |
(-.f64 -1 (*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))) |
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (fma.f64 x x (pow.f64 x 6)) -2 -1)) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (/.f64 2 (pow.f64 x 6))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (/.f64 2 (pow.f64 x 6))))) |
x |
(-.f64 x (pow.f64 x 2)) |
(-.f64 x (*.f64 x x)) |
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2)) |
(-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x)) |
(*.f64 x (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2))) |
(-.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 4))) |
(+.f64 (pow.f64 x 3) (-.f64 x (fma.f64 x x (pow.f64 x 4)))) |
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 176 | 2 | 178 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 177 | 2 | 179 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3) |
| 14.0b | (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1)) |
Compiled 3060 to 2278 computations (25.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) |
| ✓ | 0.0b | (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3) |
| ✓ | 0.0b | (/.f64 1 (+.f64 x -1)) |
| ✓ | 0.0b | (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3) |
| 5.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3) |
| 1× | batch-egg-rewrite |
| 521× | fma-def_binary64 |
| 254× | fma-neg_binary64 |
| 213× | expm1-udef_binary64 |
| 213× | log1p-udef_binary64 |
| 130× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 57 |
| 1 | 278 | 57 |
| 2 | 3806 | 57 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) |
(/.f64 1 (+.f64 x -1)) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3) |
(cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1/6) (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 x (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (cbrt.f64 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))))))) |
| 1× | egg-herbie |
| 775× | fma-neg_binary64 |
| 307× | fma-def_binary64 |
| 271× | associate-/r*_binary64 |
| 259× | unswap-sqr_binary64 |
| 254× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 829 |
| 1 | 328 | 807 |
| 2 | 1002 | 791 |
| 3 | 3840 | 789 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
-1 |
(neg.f64 (+.f64 1 x)) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x))) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(pow.f64 (cbrt.f64 -1) 6) |
(+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(cbrt.f64 -1) |
(-.f64 (cbrt.f64 -1) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)))) |
(-.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))) |
(-.f64 (+.f64 (*.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (cbrt.f64 -1)) (+.f64 (*.f64 10/27 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)))))) |
1 |
(+.f64 1 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2/3 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 22/81 (/.f64 1 (pow.f64 x 6))) (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))))) |
(pow.f64 (cbrt.f64 -1) 2) |
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))))) |
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 4)))) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))) |
(-.f64 (+.f64 (*.f64 8/81 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 7) (pow.f64 x 6)))) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 10/27 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 6)))) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 4)))) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))))))) |
| Outputs |
|---|
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 -1 (neg.f64 (*.f64 2 (*.f64 x x)))) |
(+.f64 -1 (*.f64 (*.f64 x x) -2)) |
(fma.f64 (*.f64 x x) -2 -1) |
(fma.f64 x (*.f64 x -2) -1) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (*.f64 x x))))) |
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (*.f64 x x) 1)) |
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (*.f64 x x) -2 -1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) -2 -1)) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x)))))) |
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 1)) |
(-.f64 -1 (*.f64 2 (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))) |
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (fma.f64 x x (pow.f64 x 6)) -2 -1)) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) 1) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) 1) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))) |
-1 |
(neg.f64 (+.f64 1 x)) |
(+.f64 -1 (neg.f64 x)) |
(-.f64 -1 x) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x))) |
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 x x)))) |
(-.f64 -1 (fma.f64 x x x)) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3))))) |
(neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 x (pow.f64 x 3)))) |
(-.f64 -1 (+.f64 (fma.f64 x x x) (pow.f64 x 3))) |
(-.f64 (-.f64 -1 x) (*.f64 x (fma.f64 x x x))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 -1 (neg.f64 (*.f64 2 (*.f64 x x)))) |
(+.f64 -1 (*.f64 (*.f64 x x) -2)) |
(fma.f64 (*.f64 x x) -2 -1) |
(fma.f64 x (*.f64 x -2) -1) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (*.f64 x x))))) |
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (*.f64 x x) 1)) |
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (*.f64 x x) -2 -1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) -2 -1)) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x)))))) |
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 1)) |
(-.f64 -1 (*.f64 2 (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))) |
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (fma.f64 x x (pow.f64 x 6)) -2 -1)) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) 1) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))) |
(pow.f64 (cbrt.f64 -1) 6) |
1 |
(+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) 1) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))) |
(cbrt.f64 -1) |
(-.f64 (cbrt.f64 -1) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)))) |
(-.f64 (cbrt.f64 -1) (/.f64 (*.f64 2/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2))) |
(+.f64 (cbrt.f64 -1) (*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) -2/3)) |
(fma.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) -2/3 (cbrt.f64 -1)) |
(-.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))) |
(-.f64 (cbrt.f64 -1) (fma.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (*.f64 2/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2)))) |
(-.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) -2/3 (cbrt.f64 -1)) (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))) |
(-.f64 (+.f64 (*.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (cbrt.f64 -1)) (+.f64 (*.f64 10/27 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)))))) |
(-.f64 (fma.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)) (fma.f64 10/27 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (*.f64 2/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2))))) |
(-.f64 (fma.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)) (fma.f64 10/27 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))) |
(-.f64 (fma.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)) (fma.f64 2/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 10/27 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)))))) |
(+.f64 (fma.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)) -10/27 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) -2/9 (*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) -2/3)))) |
1 |
(+.f64 1 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2/3 (*.f64 x x))) |
(+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2/3 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 1 (/.f64 2/3 (*.f64 x x))) (/.f64 2/9 (pow.f64 x 4))) |
(+.f64 1 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 2/9 (pow.f64 x 4)))) |
(+.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 1 (/.f64 2/9 (pow.f64 x 4)))) |
(+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 22/81 (/.f64 1 (pow.f64 x 6))) (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (/.f64 2/9 (pow.f64 x 4)) (+.f64 (+.f64 1 (/.f64 22/81 (pow.f64 x 6))) (/.f64 2/3 (*.f64 x x)))) |
(+.f64 (/.f64 2/9 (pow.f64 x 4)) (+.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 1 (/.f64 22/81 (pow.f64 x 6))))) |
(+.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 (/.f64 2/9 (pow.f64 x 4)) (+.f64 1 (/.f64 22/81 (pow.f64 x 6))))) |
(pow.f64 (cbrt.f64 -1) 2) |
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))))) |
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1)))) |
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 (/.f64 2/3 (*.f64 x x)) (cbrt.f64 -1))) |
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 -2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1)))) |
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 4)))) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))) |
(-.f64 (-.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 2/9 (*.f64 (pow.f64 x 4) (cbrt.f64 -1)))) (/.f64 2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1)))) |
(-.f64 (-.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 (/.f64 2/3 (*.f64 x x)) (cbrt.f64 -1))) (/.f64 (/.f64 2/9 (cbrt.f64 -1)) (pow.f64 x 4))) |
(+.f64 (/.f64 -2/9 (*.f64 (pow.f64 x 4) (cbrt.f64 -1))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 -2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1))))) |
(-.f64 (+.f64 (*.f64 8/81 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 7) (pow.f64 x 6)))) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 10/27 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 6)))) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 4)))) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))))))) |
(-.f64 (+.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 8/81 (*.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 7)))) (+.f64 (+.f64 (/.f64 2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1))) (/.f64 2/9 (*.f64 (pow.f64 x 4) (cbrt.f64 -1)))) (/.f64 10/27 (*.f64 (pow.f64 x 6) (cbrt.f64 -1))))) |
(+.f64 (/.f64 8/81 (*.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 7))) (-.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (+.f64 (/.f64 (/.f64 2/3 (*.f64 x x)) (cbrt.f64 -1)) (/.f64 (/.f64 2/9 (cbrt.f64 -1)) (pow.f64 x 4))) (/.f64 (/.f64 10/27 (cbrt.f64 -1)) (pow.f64 x 6))))) |
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (/.f64 8/81 (*.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 7))) (+.f64 (/.f64 -2/9 (*.f64 (pow.f64 x 4) (cbrt.f64 -1))) (+.f64 (/.f64 -2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1))) (/.f64 -10/27 (*.f64 (pow.f64 x 6) (cbrt.f64 -1))))))) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 184 | 0 | 184 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 184 | 2 | 186 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3) |
| ▶ | 14.0b | (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1)) |
Compiled 3950 to 3162 computations (19.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (+.f64 x -1) (+.f64 1 x)) |
| ✓ | 13.6b | (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1)) |
| 0.0ms | x | @ | inf | (fma.f64 x (+.f64 x -1) (+.f64 1 x)) |
| 0.0ms | x | @ | -inf | (fma.f64 x (+.f64 x -1) (+.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1)) |
| 0.0ms | x | @ | inf | (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1)) |
| 1× | batch-egg-rewrite |
| 419× | log-prod_binary64 |
| 282× | prod-diff_binary64 |
| 259× | fma-def_binary64 |
| 166× | expm1-udef_binary64 |
| 166× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 193 | 29 |
| 2 | 2582 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1)) |
(fma.f64 x (+.f64 x -1) (+.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 2) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) (sqrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (*.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 (fma.f64 x (+.f64 x -1) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 1) (/.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1))) (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 2) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 3) (pow.f64 (fma.f64 x x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 x -1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 x x) x) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))) (cbrt.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 2) (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 (*.f64 x x) x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (pow.f64 (+.f64 x 1) 2)) (-.f64 (-.f64 (*.f64 x x) x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (exp.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x (+.f64 x -1) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))))))) |
| 1× | egg-herbie |
| 704× | times-frac_binary64 |
| 433× | fma-def_binary64 |
| 285× | unswap-sqr_binary64 |
| 262× | fma-neg_binary64 |
| 254× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 245 |
| 1 | 99 | 221 |
| 2 | 281 | 214 |
| 3 | 875 | 212 |
| 4 | 3348 | 212 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (pow.f64 x 2)) |
| Outputs |
|---|
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 -1 (neg.f64 (*.f64 2 (*.f64 x x)))) |
(+.f64 -1 (*.f64 (*.f64 x x) -2)) |
(fma.f64 (*.f64 x x) -2 -1) |
(fma.f64 x (*.f64 x -2) -1) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (*.f64 x x))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1))) |
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (*.f64 x x) -2 -1)) |
(neg.f64 (fma.f64 2 (fma.f64 x x (pow.f64 x 4)) 1)) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x)))))) |
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 1)) |
(-.f64 -1 (*.f64 2 (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))) |
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (fma.f64 x x (pow.f64 x 6)) -2 -1)) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 6))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 6))))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 0 | 87 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 87 | 2 | 89 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3) |
| ✓ | 14.0b | (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1)) |
Compiled 1634 to 1102 computations (32.6% saved)
Total 0.0b remaining (88.5%)
Threshold costs 0.0b (88.5%)
Compiled 979 to 734 computations (25% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 21 |
| 1 | 17 | 21 |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3) |
| Outputs |
|---|
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3) |
| 1× | done |
Compiled 59 to 45 computations (23.7% saved)
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