Time bar (total: 1.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 771.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 8 | 13 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (+.f64 x 16) 116) |
| Outputs |
|---|
(/.f64 (+.f64 x 16) 116) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 8 | 13 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x 16) 116) |
| Outputs |
|---|
(/.f64 (+.f64 x 16) 116) |
Compiled 6 to 5 computations (16.7% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (+.f64 x 16) 116) |
Compiled 6 to 5 computations (16.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x 16) 116) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x 16) 116) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x 16) 116) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 x 16) 116) |
| 1× | batch-egg-rewrite |
| 1628× | add-sqr-sqrt |
| 1586× | *-un-lft-identity |
| 1518× | add-cube-cbrt |
| 1508× | add-cbrt-cube |
| 154× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 161 | 13 |
| 2 | 1976 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x 16) 116) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x 16) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) -16) -1/116)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 116 (+.f64 x 16)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 16) -116))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))))) |
| 1× | egg-herbie |
| 1500× | associate-*r/ |
| 810× | fma-def |
| 806× | associate-+r+ |
| 752× | *-commutative |
| 742× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 457 |
| 1 | 151 | 321 |
| 2 | 567 | 321 |
| 3 | 2423 | 321 |
| 4 | 5657 | 321 |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1) |
(*.f64 (+.f64 x 16) 1/116) |
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1) |
(*.f64 1 (*.f64 (+.f64 x 16) 1/116)) |
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116)) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) |
(*.f64 1/116 (+.f64 x 16)) |
(*.f64 (+.f64 (neg.f64 x) -16) -1/116) |
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3) |
(pow.f64 (/.f64 116 (+.f64 x 16)) -1) |
(neg.f64 (/.f64 (+.f64 x 16) -116)) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) |
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))) |
| Outputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (+.f64 x 16) 1/116) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 1 (*.f64 (+.f64 x 16) 1/116)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 1/116 (+.f64 x 16)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (+.f64 (neg.f64 x) -16) -1/116) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(pow.f64 (/.f64 116 (+.f64 x 16)) -1) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(neg.f64 (/.f64 (+.f64 x 16) -116)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
Compiled 227 to 194 computations (14.5% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 25 | 4 | 29 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 25 | 5 | 30 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (fma.f64 1/116 x 4/29) |
| ✓ | 0.0b | (/.f64 (+.f64 x 16) 116) |
| ▶ | 0.1b | (+.f64 4/29 (*.f64 1/116 x)) |
| ▶ | 33.0b | (*.f64 1/116 x) |
| 30.4b | 4/29 |
Compiled 23 to 19 computations (17.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 1/116 x) |
Compiled 6 to 4 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 1/116 x) |
| 0.0ms | x | @ | inf | (*.f64 1/116 x) |
| 0.0ms | x | @ | 0 | (*.f64 1/116 x) |
| 1× | batch-egg-rewrite |
| 920× | associate-*l* |
| 902× | add-sqr-sqrt |
| 884× | *-un-lft-identity |
| 842× | pow1 |
| 826× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 100 | 7 |
| 2 | 1110 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/116 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/116 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/116 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/116 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 1/13456)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/116) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/116 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/116 x))))))) |
| 1× | egg-herbie |
| 858× | log-prod |
| 794× | associate-+r- |
| 788× | +-commutative |
| 696× | fma-def |
| 682× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 143 |
| 1 | 84 | 77 |
| 2 | 260 | 77 |
| 3 | 1809 | 77 |
| 4 | 3980 | 77 |
| 5 | 6430 | 77 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 1/116 x) 1) 1) |
(pow.f64 (*.f64 1/116 x) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3) |
(pow.f64 (pow.f64 (*.f64 1/116 x) 3) 1/3) |
(sqrt.f64 (*.f64 x (*.f64 x 1/13456))) |
(log.f64 (pow.f64 (exp.f64 1/116) x)) |
(cbrt.f64 (pow.f64 (*.f64 1/116 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/116 x))) |
(exp.f64 (log.f64 (*.f64 1/116 x))) |
(log1p.f64 (expm1.f64 (*.f64 1/116 x))) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 1/116 x) 1) 1) |
(+.f64 (*.f64 1/116 x) 0) |
(*.f64 1/116 x) |
(pow.f64 (*.f64 1/116 x) 1) |
(+.f64 (*.f64 1/116 x) 0) |
(*.f64 1/116 x) |
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2) |
(+.f64 (*.f64 1/116 x) 0) |
(*.f64 1/116 x) |
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3) |
(+.f64 (*.f64 1/116 x) 0) |
(*.f64 1/116 x) |
(pow.f64 (pow.f64 (*.f64 1/116 x) 3) 1/3) |
(+.f64 (*.f64 1/116 x) 0) |
(*.f64 1/116 x) |
(sqrt.f64 (*.f64 x (*.f64 x 1/13456))) |
(+.f64 (*.f64 1/116 x) 0) |
(*.f64 1/116 x) |
(log.f64 (pow.f64 (exp.f64 1/116) x)) |
(+.f64 (*.f64 1/116 x) 0) |
(*.f64 1/116 x) |
(cbrt.f64 (pow.f64 (*.f64 1/116 x) 3)) |
(+.f64 (*.f64 1/116 x) 0) |
(*.f64 1/116 x) |
(expm1.f64 (log1p.f64 (*.f64 1/116 x))) |
(+.f64 (*.f64 1/116 x) 0) |
(*.f64 1/116 x) |
(exp.f64 (log.f64 (*.f64 1/116 x))) |
(+.f64 (*.f64 1/116 x) 0) |
(*.f64 1/116 x) |
(log1p.f64 (expm1.f64 (*.f64 1/116 x))) |
(+.f64 (*.f64 1/116 x) 0) |
(*.f64 1/116 x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 4/29 (*.f64 1/116 x)) |
| 0.1b | (*.f64 1/116 x) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 4/29 (*.f64 1/116 x)) |
| 0.0ms | x | @ | 0 | (+.f64 4/29 (*.f64 1/116 x)) |
| 0.0ms | x | @ | -inf | (+.f64 4/29 (*.f64 1/116 x)) |
| 1× | batch-egg-rewrite |
| 1538× | add-sqr-sqrt |
| 1502× | *-un-lft-identity |
| 1426× | add-cube-cbrt |
| 1416× | add-cbrt-cube |
| 1402× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 152 | 9 |
| 2 | 1839 | 9 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 4/29 (*.f64 1/116 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -1/116 x))) (/.f64 (*.f64 (*.f64 x x) 1/13456) (+.f64 4/29 (*.f64 -1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/116 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/116 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (/.f64 1 (+.f64 4/29 (*.f64 -1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4/29 (*.f64 -1/116 x)) (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (+.f64 4/29 (*.f64 -1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 (*.f64 (*.f64 x x) 1/13456) (-.f64 16/841 (*.f64 1/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456))) (neg.f64 (+.f64 4/29 (*.f64 -1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/116 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/116 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/116 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/116 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) (cbrt.f64 (*.f64 1/116 x)) 4/29))))) |
| 1× | egg-herbie |
| 1148× | distribute-lft-in |
| 1064× | distribute-rgt-in |
| 914× | associate-/l* |
| 908× | associate-*r* |
| 892× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1018 |
| 1 | 208 | 788 |
| 2 | 755 | 598 |
| 3 | 3359 | 598 |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(*.f64 1/116 x) |
(*.f64 1/116 x) |
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -1/116 x))) (/.f64 (*.f64 (*.f64 x x) 1/13456) (+.f64 4/29 (*.f64 -1/116 x)))) |
(*.f64 (fma.f64 1/116 x 4/29) 1) |
(*.f64 1 (fma.f64 1/116 x 4/29)) |
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29))) |
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29))) |
(*.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (/.f64 1 (+.f64 4/29 (*.f64 -1/116 x)))) |
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))))) |
(/.f64 1 (/.f64 (+.f64 4/29 (*.f64 -1/116 x)) (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)))) |
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)))) |
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (+.f64 4/29 (*.f64 -1/116 x))) |
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))) |
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 (*.f64 (*.f64 x x) 1/13456) (-.f64 16/841 (*.f64 1/841 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
(/.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456))) (neg.f64 (+.f64 4/29 (*.f64 -1/116 x)))) |
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))))) |
(pow.f64 (fma.f64 1/116 x 4/29) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3) |
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2)) |
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29))) |
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29))) |
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29))) |
(fma.f64 1/116 x 4/29) |
(fma.f64 x 1/116 4/29) |
(fma.f64 1 (*.f64 1/116 x) 4/29) |
(fma.f64 (sqrt.f64 (*.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)) 4/29) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) (cbrt.f64 (*.f64 1/116 x)) 4/29) |
| Outputs |
|---|
4/29 |
(*.f64 1/116 x) |
(*.f64 1/116 x) |
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -1/116 x))) (/.f64 (*.f64 (*.f64 x x) 1/13456) (+.f64 4/29 (*.f64 -1/116 x)))) |
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116))) |
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29)) |
(*.f64 (fma.f64 1/116 x 4/29) 1) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(*.f64 1 (fma.f64 1/116 x 4/29)) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2)) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(*.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (/.f64 1 (+.f64 4/29 (*.f64 -1/116 x)))) |
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116))) |
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29)) |
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))))) |
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 x (*.f64 x 1/13456)) (*.f64 -1/841 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) 1/841)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841)) |
(/.f64 1 (/.f64 (+.f64 4/29 (*.f64 -1/116 x)) (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)))) |
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116))) |
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29)) |
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)))) |
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 x (*.f64 x 1/13456)) (*.f64 -1/841 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) 1/841)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841)) |
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456)) (+.f64 4/29 (*.f64 -1/116 x))) |
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116))) |
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29)) |
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x)))) |
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 x (*.f64 x 1/13456)) (*.f64 -1/841 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) 1/841)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841)) |
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (+.f64 (*.f64 (*.f64 x x) 1/13456) (-.f64 16/841 (*.f64 1/841 x)))) |
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 x (*.f64 x 1/13456)) (*.f64 -1/841 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) 1/841)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116))) |
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29)) |
(/.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 1/13456))) (neg.f64 (+.f64 4/29 (*.f64 -1/116 x)))) |
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (+.f64 4/29 (*.f64 x -1/116))) |
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 x (*.f64 x -1/13456) 16/841) (fma.f64 x -1/116 4/29)) |
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 1/116 x -4/29)) |
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 1/13456) (*.f64 1/841 x))))) |
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 x (*.f64 x 1/13456)) (*.f64 -1/841 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) 1/841)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841)) |
(pow.f64 (fma.f64 1/116 x 4/29) 1) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2)) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3)) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1)) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(fma.f64 1/116 x 4/29) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 x 1/116 4/29) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(fma.f64 1 (*.f64 1/116 x) 4/29) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(fma.f64 (sqrt.f64 (*.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)) 4/29) |
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1)) |
(+.f64 (fma.f64 1/116 x 4/29) 0) |
(fma.f64 1/116 x 4/29) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) (cbrt.f64 (*.f64 1/116 x)) 4/29) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/13456))) (cbrt.f64 (*.f64 1/116 x)) 4/29) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 1/116 x 4/29) |
Compiled 8 to 6 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (fma.f64 1/116 x 4/29) |
| 0.0ms | x | @ | 0 | (fma.f64 1/116 x 4/29) |
| 0.0ms | x | @ | inf | (fma.f64 1/116 x 4/29) |
| 1× | batch-egg-rewrite |
| 1108× | add-sqr-sqrt |
| 1082× | *-un-lft-identity |
| 1038× | pow1 |
| 1018× | add-cube-cbrt |
| 1010× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 123 | 9 |
| 2 | 1328 | 9 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1/116 x 4/29) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/116 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/116 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/116 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/116 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) (-.f64 16/841 (*.f64 (*.f64 1/116 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/116 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29))))))) |
| 1× | egg-herbie |
| 1098× | distribute-lft-in |
| 1042× | distribute-rgt-in |
| 902× | associate-*r* |
| 884× | fma-def |
| 776× | associate-/l* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 361 |
| 1 | 136 | 343 |
| 2 | 597 | 341 |
| 3 | 2639 | 339 |
| 4 | 7205 | 339 |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 (*.f64 1/116 x) 4/29) |
(+.f64 (*.f64 (*.f64 1/116 x) 1) 4/29) |
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1) |
(*.f64 (fma.f64 1/116 x 4/29) 1) |
(*.f64 1 (fma.f64 1/116 x 4/29)) |
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29))) |
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) (-.f64 16/841 (*.f64 (*.f64 1/116 x) 4/29)))) |
(pow.f64 (fma.f64 1/116 x 4/29) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3) |
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2)) |
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29))) |
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29))) |
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29))) |
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29))) |
| Outputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 (*.f64 1/116 x) 4/29) |
(fma.f64 1/116 x 4/29) |
(+.f64 (*.f64 (*.f64 1/116 x) 1) 4/29) |
(fma.f64 1/116 x 4/29) |
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1) |
(fma.f64 1/116 x 4/29) |
(*.f64 (fma.f64 1/116 x 4/29) 1) |
(fma.f64 1/116 x 4/29) |
(*.f64 1 (fma.f64 1/116 x 4/29)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29))) |
(fma.f64 1/116 x 4/29) |
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29))) |
(fma.f64 1/116 x 4/29) |
(/.f64 (-.f64 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
(/.f64 (+.f64 (*.f64 1/13456 (*.f64 x x)) -16/841) (fma.f64 1/116 x -4/29)) |
(/.f64 (fma.f64 (*.f64 x 1/13456) x -16/841) (fma.f64 1/116 x -4/29)) |
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29)) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 1/116 x) (*.f64 1/116 x)) (-.f64 16/841 (*.f64 (*.f64 1/116 x) 4/29)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 3) 64/24389) (+.f64 (*.f64 1/13456 (*.f64 x x)) (-.f64 16/841 (*.f64 4/29 (*.f64 1/116 x))))) |
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 (*.f64 x 1/13456) x 16/841) (*.f64 x 1/841))) |
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (-.f64 16/841 (*.f64 x (-.f64 1/841 (*.f64 x 1/13456))))) |
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (fma.f64 1/116 (*.f64 x (fma.f64 1/116 x -4/29)) 16/841)) |
(pow.f64 (fma.f64 1/116 x 4/29) 1) |
(fma.f64 1/116 x 4/29) |
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2) |
(fma.f64 1/116 x 4/29) |
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3) |
(fma.f64 1/116 x 4/29) |
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3) |
(fma.f64 1/116 x 4/29) |
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2)) |
(fma.f64 1/116 x 4/29) |
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29))) |
(fma.f64 1/116 x 4/29) |
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3)) |
(fma.f64 1/116 x 4/29) |
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29))) |
(fma.f64 1/116 x 4/29) |
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29))) |
(fma.f64 1/116 x 4/29) |
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29))) |
(fma.f64 1/116 x 4/29) |
Compiled 945 to 753 computations (20.3% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 1 | 102 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 102 | 5 | 107 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.4b | (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
| ✓ | 0.0b | (/.f64 (+.f64 x 16) 116) |
| ✓ | 0.1b | (+.f64 4/29 (*.f64 1/116 x)) |
| ✓ | 33.0b | (*.f64 1/116 x) |
| 30.4b | 4/29 |
Compiled 32 to 26 computations (18.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) |
| 0.1b | (*.f64 1/116 x) | |
| ✓ | 0.3b | (*.f64 (*.f64 x x) 1/13456) |
| ✓ | 13.4b | (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
Compiled 42 to 27 computations (35.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) 1/13456) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) 1/13456) |
| 1× | batch-egg-rewrite |
| 1802× | associate-/l* |
| 1772× | associate-/r* |
| 1748× | associate-*l/ |
| 292× | add-sqr-sqrt |
| 280× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 57 |
| 1 | 298 | 37 |
| 2 | 3945 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
(*.f64 (*.f64 x x) 1/13456) |
(-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/116) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29))) (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/116) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 16/841 (fma.f64 x 1/116 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/116 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/116))) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 1/116)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/116 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/116 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (fma.f64 x 1/116 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (fma.f64 x 1/116 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (fma.f64 x (*.f64 x 1/13456) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (/.f64 -1 (fma.f64 x 1/116 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/116 -4/29))) (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (sqrt.f64 (fma.f64 x 1/116 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2))) (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (cbrt.f64 (fma.f64 x 1/116 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 x (*.f64 x 1/13456) -16/841)) (fma.f64 x 1/116 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) -64/24389)) (+.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (*.f64 x 1/841)))))) 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egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/13456 -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/13456 (*.f64 x x) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/116) (*.f64 x 1/116) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/13456)) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/181063936 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) -16/841))))) |
| 1× | egg-herbie |
| 1442× | associate-/r* |
| 1426× | associate-/l/ |
| 1350× | distribute-lft-in |
| 1348× | distribute-rgt-in |
| 1144× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 318 | 4743 |
| 1 | 739 | 4159 |
| 2 | 3179 | 4159 |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 1/116 x)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 1/13456 (pow.f64 x 2)) |
-16/841 |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(*.f64 1/13456 (pow.f64 x 2)) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(*.f64 1/13456 (pow.f64 x 2)) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 x 1/116) 4/29) |
(+.f64 4/29 (*.f64 x 1/116)) |
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29)))) |
(+.f64 (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29))) (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29))) |
(-.f64 (*.f64 x 1/116) -4/29) |
(-.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 16/841 (fma.f64 x 1/116 -4/29))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/116 4/29))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/116))) 25/29) |
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 1/116)))) 1) |
(*.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29))) |
(*.f64 (fma.f64 x 1/116 4/29) 1) |
(*.f64 1 (fma.f64 x 1/116 4/29)) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (fma.f64 x 1/116 -4/29)))) |
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (fma.f64 x 1/116 -4/29)))) |
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29))) |
(*.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (fma.f64 x (*.f64 x 1/13456) -16/841)) |
(*.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (/.f64 -1 (fma.f64 x 1/116 -4/29))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/116 -4/29))) (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (sqrt.f64 (fma.f64 x 1/116 -4/29)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2))) (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (cbrt.f64 (fma.f64 x 1/116 -4/29)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 x (*.f64 x 1/13456) -16/841)) (fma.f64 x 1/116 4/29)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) -64/24389)) (+.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (*.f64 x 1/841))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 -4/29)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2))) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (cbrt.f64 (fma.f64 x 1/116 -4/29)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (fma.f64 x 1/116 -4/29))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (sqrt.f64 (fma.f64 x 1/116 -4/29))) (/.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 -4/29))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2))) (cbrt.f64 (fma.f64 x 1/116 4/29))) |
(pow.f64 (fma.f64 x 1/116 4/29) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3) |
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3) |
(pow.f64 (/.f64 1 (fma.f64 x 1/116 4/29)) -1) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (-.f64 4/29 (*.f64 x 1/116)))) |
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2)) |
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/116 4/29)))) |
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29))) |
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29))) |
(fma.f64 x 1/116 4/29) |
(fma.f64 1/116 x 4/29) |
(fma.f64 1 (*.f64 x 1/116) 4/29) |
(fma.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)) 4/29) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) (cbrt.f64 (*.f64 x 1/116)) 4/29) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/13456)))) 1) |
(pow.f64 (*.f64 x (*.f64 x 1/13456)) 1) |
(pow.f64 (*.f64 x 1/116) 2) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) 3) |
(pow.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) 1/3) |
(sqrt.f64 (*.f64 1/181063936 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 1/13456) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/13456))))) |
(cbrt.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/13456)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/13456)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/13456))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/13456)))) |
(+.f64 (*.f64 x (*.f64 x 1/13456)) -16/841) |
(+.f64 -16/841 (*.f64 x (*.f64 x 1/13456))) |
(*.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 1) |
(*.f64 1 (fma.f64 x (*.f64 x 1/13456) -16/841)) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) |
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) |
(*.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281) (/.f64 1 (fma.f64 x (*.f64 x 1/13456) 16/841))) |
(*.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) (/.f64 1 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) |
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 1) |
(/.f64 1 (/.f64 1 (fma.f64 x (*.f64 x 1/13456) -16/841))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (-.f64 256/707281 (*.f64 (*.f64 x (*.f64 x 1/13456)) -16/841))) (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)))) |
(/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)))) |
(/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281) (fma.f64 x (*.f64 x 1/13456) 16/841)) |
(/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281) (/.f64 1 (/.f64 1 (fma.f64 x (*.f64 x 1/13456) 16/841)))) |
(/.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281)))) |
(/.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (-.f64 256/707281 (*.f64 (*.f64 x (*.f64 x 1/13456)) -16/841)))) |
(/.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) (/.f64 1 (/.f64 1 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281)))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281)) (/.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (sqrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)) (/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))) (sqrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)) (/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (-.f64 256/707281 (*.f64 (*.f64 x (*.f64 x 1/13456)) -16/841))) (sqrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281)) (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281))) (/.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)) (cbrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321))) (/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))) (cbrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)) (cbrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321))) (/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (-.f64 256/707281 (*.f64 (*.f64 x (*.f64 x 1/13456)) -16/841))) (cbrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281)) (neg.f64 (fma.f64 x (*.f64 x 1/13456) 16/841))) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)) (neg.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281) 1) (fma.f64 x (*.f64 x 1/13456) 16/841)) |
(/.f64 (*.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) 1) (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281)))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) 1) (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (-.f64 256/707281 (*.f64 (*.f64 x (*.f64 x 1/13456)) -16/841)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281)) 1) (neg.f64 (fma.f64 x (*.f64 x 1/13456) 16/841))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)) 1) (neg.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281)) (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)) (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) (sqrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2)) (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/181063936 (pow.f64 x 4)) (*.f64 1/181063936 (pow.f64 x 4))) 65536/500246412961) (/.f64 1 (fma.f64 x (*.f64 x 1/13456) 16/841))) (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) 256/707281)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/181063936 (pow.f64 x 4)) 3) 16777216/353814783205469041) (/.f64 1 (fma.f64 x (*.f64 x 1/13456) 16/841))) (+.f64 (*.f64 (*.f64 1/181063936 (pow.f64 x 4)) (*.f64 1/181063936 (pow.f64 x 4))) (+.f64 65536/500246412961 (*.f64 (*.f64 1/181063936 (pow.f64 x 4)) 256/707281)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3))) 16777216/353814783205469041) (/.f64 1 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) (+.f64 4096/594823321 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) 3) 68719476736/210457284365172120330305161) (/.f64 1 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) (+.f64 (*.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3))) (+.f64 16777216/353814783205469041 (*.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) 4096/594823321)))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281) 1) (fma.f64 x (*.f64 x 1/13456) 16/841)) |
(/.f64 (/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281) (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841))) (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) -256/707281) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841)) (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841)))) (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) 16/841))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) 1) (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281)))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) (sqrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) (sqrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) |
(/.f64 (/.f64 (+.f64 (*.f64 1/2436396322816 (pow.f64 (*.f64 x x) 3)) -4096/594823321) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281)))) (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281)))))) (cbrt.f64 (+.f64 (*.f64 1/181063936 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 1/707281))))) |
(pow.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 3) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 2)) |
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)))) |
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 (*.f64 x x) 1/13456 -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(fma.f64 (*.f64 x 1/116) (*.f64 x 1/116) -16/841) |
(fma.f64 1 (*.f64 x (*.f64 x 1/13456)) -16/841) |
(fma.f64 (cbrt.f64 (*.f64 1/181063936 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) -16/841) |
| Outputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 1/116 x)) |
(fma.f64 1/116 x 4/29) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
-16/841 |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(*.f64 1/13456 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/13456)) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(-.f64 (*.f64 1/13456 (pow.f64 x 2)) 16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(+.f64 (*.f64 x 1/116) 4/29) |
(fma.f64 1/116 x 4/29) |
(+.f64 4/29 (*.f64 x 1/116)) |
(fma.f64 1/116 x 4/29) |
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29))) |
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29)) |
(+.f64 (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29))) (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29))) |
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29)) |
(-.f64 (*.f64 x 1/116) -4/29) |
(fma.f64 1/116 x 4/29) |
(-.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 16/841 (fma.f64 x 1/116 -4/29))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29))) |
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/116 4/29))) 1) |
(fma.f64 1/116 x 4/29) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/116))) 25/29) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/116 x))) -25/29) |
(+.f64 4/29 (expm1.f64 (log1p.f64 (*.f64 1/116 x)))) |
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 1/116)))) 1) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/116 x))) -25/29) |
(+.f64 4/29 (expm1.f64 (log1p.f64 (*.f64 1/116 x)))) |
(*.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29))) |
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29)) |
(*.f64 (fma.f64 x 1/116 4/29) 1) |
(fma.f64 1/116 x 4/29) |
(*.f64 1 (fma.f64 x 1/116 4/29)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (fma.f64 x 1/116 -4/29)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29))) |
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29)) |
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29))) |
(fma.f64 1/116 x 4/29) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (/.f64 1 (fma.f64 x 1/116 -4/29)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29))) |
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29)) |
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29))) |
(fma.f64 1/116 x 4/29) |
(*.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (fma.f64 x (*.f64 x 1/13456) -16/841)) |
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29))) |
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29)) |
(*.f64 (-.f64 16/841 (*.f64 x (*.f64 x 1/13456))) (/.f64 -1 (fma.f64 x 1/116 -4/29))) |
(*.f64 (/.f64 -1 (fma.f64 1/116 x -4/29)) (+.f64 16/841 (*.f64 (*.f64 x x) -1/13456))) |
(*.f64 (/.f64 -1 (fma.f64 1/116 x -4/29)) (neg.f64 (fma.f64 1/13456 (*.f64 x x) -16/841))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/116 -4/29))) (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (sqrt.f64 (fma.f64 x 1/116 -4/29)))) |
(/.f64 (/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (sqrt.f64 (fma.f64 1/116 x -4/29))) (sqrt.f64 (fma.f64 1/116 x -4/29))) |
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (*.f64 (sqrt.f64 (fma.f64 1/116 x -4/29)) (sqrt.f64 (fma.f64 1/116 x -4/29)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2))) (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (cbrt.f64 (fma.f64 x 1/116 -4/29)))) |
(/.f64 (*.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (cbrt.f64 (fma.f64 x 1/116 -4/29)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2))) |
(/.f64 (/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (cbrt.f64 (fma.f64 1/116 x -4/29))) (cbrt.f64 (pow.f64 (fma.f64 1/116 x -4/29) 2))) |
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (*.f64 (cbrt.f64 (fma.f64 1/116 x -4/29)) (cbrt.f64 (pow.f64 (fma.f64 1/116 x -4/29) 2)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 x (*.f64 x 1/13456) -16/841)) (fma.f64 x 1/116 4/29)) |
(fma.f64 1/116 x 4/29) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (+.f64 (*.f64 1/1560896 (pow.f64 x 3)) -64/24389)) (+.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (*.f64 x 1/841))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (+.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (*.f64 x 1/841))) (fma.f64 1/1560896 (pow.f64 x 3) -64/24389)) |
(*.f64 (/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/1560896 (pow.f64 x 3) -64/24389)) (fma.f64 x 1/841 (fma.f64 x (*.f64 x 1/13456) 16/841))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 -4/29)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (sqrt.f64 (fma.f64 1/116 x 4/29))) (sqrt.f64 (fma.f64 x 1/116 -4/29))) |
(*.f64 (sqrt.f64 (fma.f64 1/13456 (*.f64 x x) -16/841)) (/.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x -4/29)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2))) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (cbrt.f64 (fma.f64 x 1/116 -4/29)))) |
(/.f64 (*.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (cbrt.f64 (fma.f64 x 1/116 -4/29)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/116 -4/29) 2))) |
(/.f64 (/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (cbrt.f64 (fma.f64 1/116 x -4/29))) (cbrt.f64 (pow.f64 (fma.f64 1/116 x -4/29) 2))) |
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (*.f64 (cbrt.f64 (fma.f64 1/116 x -4/29)) (cbrt.f64 (pow.f64 (fma.f64 1/116 x -4/29) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) (fma.f64 x 1/116 -4/29))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x 1/13456)) (fma.f64 x 1/116 -4/29)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29))) |
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (sqrt.f64 (fma.f64 x 1/116 -4/29))) (/.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 -4/29))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 2) (sqrt.f64 (fma.f64 x 1/116 -4/29))) (/.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 -4/29))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/13456 (*.f64 x x) -16/841)) 2) (sqrt.f64 (fma.f64 1/116 x -4/29))) (/.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 1/116 x -4/29))))) |
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(fma.f64 1/13456 (*.f64 x x) -16/841) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 3) 1/3) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 2)) |
(fabs.f64 (fma.f64 1/13456 (*.f64 x x) -16/841)) |
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)))) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) 3)) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 1/13456) -16/841)) 1)) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/13456) -16/841))) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(fma.f64 (*.f64 x x) 1/13456 -16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 (*.f64 x 1/116) (*.f64 x 1/116) -16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(fma.f64 1 (*.f64 x (*.f64 x 1/13456)) -16/841) |
(fma.f64 x (*.f64 x 1/13456) -16/841) |
(fma.f64 1/13456 (*.f64 x x) -16/841) |
(fma.f64 (cbrt.f64 (*.f64 1/181063936 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) -16/841) |
(fma.f64 (cbrt.f64 (*.f64 1/181063936 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 1/116 x)) 2) -16/841) |
Compiled 4755 to 3719 computations (21.8% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 217 | 0 | 217 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 217 | 5 | 222 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.4b | (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
| ✓ | 0.0b | (/.f64 (+.f64 x 16) 116) |
| ✓ | 0.1b | (+.f64 4/29 (*.f64 1/116 x)) |
| ✓ | 33.0b | (*.f64 1/116 x) |
| 30.4b | 4/29 |
Compiled 32 to 26 computations (18.8% saved)
Compiled 1 to 1 computations (0% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 4 | 4 |
| Total | 0 | 5 | 5 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.4b | (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
| ✓ | 0.0b | (/.f64 (+.f64 x 16) 116) |
| ✓ | 0.1b | (+.f64 4/29 (*.f64 1/116 x)) |
| ✓ | 33.0b | (*.f64 1/116 x) |
| 30.4b | 4/29 |
Compiled 32 to 26 computations (18.8% saved)
| Inputs |
|---|
4/29 |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
(/.f64 (+.f64 x 16) 116) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/13456) 16/841) (-.f64 (*.f64 1/116 x) 4/29)) |
(fma.f64 1/116 x 4/29) |
| Outputs |
|---|
(/.f64 (+.f64 x 16) 116) |
3 calls:
| 5.0ms | x |
| 4.0ms | (+.f64 x 16) |
| 3.0ms | (/.f64 (+.f64 x 16) 116) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 (+.f64 x 16) 116) |
| 0.0b | 1 | (+.f64 x 16) |
Compiled 44 to 34 computations (22.7% saved)
| Inputs |
|---|
4/29 |
(*.f64 1/116 x) |
(+.f64 4/29 (*.f64 1/116 x)) |
| Outputs |
|---|
(+.f64 4/29 (*.f64 1/116 x)) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
Compiled 12 to 9 computations (25% saved)
Total -60.1b remaining (-3650.4%)
Threshold costs -60.1b (-3650.4%)
| Inputs |
|---|
4/29 |
(*.f64 1/116 x) |
| Outputs |
|---|
(*.f64 1/116 x) |
4/29 |
(*.f64 1/116 x) |
1 calls:
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 3 | x |
Compiled 7 to 5 computations (28.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 8.742874601714373 | 507.3288077623624 |
| 19.0ms | -1476.1021114207147 | -9.261127397406243e-6 |
| 26.0ms | 256× | body | 256 | valid |
Compiled 138 to 120 computations (13% saved)
| 1× | egg-herbie |
| 4× | +-commutative |
| 2× | if-if-or-not |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 60 |
| 1 | 27 | 60 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x 16) 116) |
(+.f64 4/29 (*.f64 1/116 x)) |
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 16) 4/29 (*.f64 1/116 x))) |
4/29 |
| Outputs |
|---|
(/.f64 (+.f64 x 16) 116) |
(+.f64 4/29 (*.f64 1/116 x)) |
(+.f64 4/29 (*.f64 x 1/116)) |
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 16) 4/29 (*.f64 1/116 x))) |
(if (<=.f64 x -16) (*.f64 x 1/116) (if (<=.f64 x 16) 4/29 (*.f64 x 1/116))) |
4/29 |
Compiled 30 to 24 computations (20% saved)
Compiled 27 to 21 computations (22.2% saved)
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