Time bar (total: 3.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.8% | 0.1% | 0.1% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 1.8s | 8254× | body | 256 | valid |
| 1.0ms | 2× | body | 1024 | valid |
| 0.0ms | 4× | body | 256 | invalid |
| 2× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 5 |
| 1 | 15 | 5 |
| 2 | 16 | 5 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
(fma.f64 841/108 x 4/29) |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 5 |
| 1 | 15 | 5 |
| 2 | 16 | 5 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
(fma.f64 841/108 x 4/29) |
Compiled 14 to 12 computations (14.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 841/108 x 4/29) |
| ▶ | 0.1b | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
Compiled 15 to 13 computations (13.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| ✓ | 0.1b | (*.f64 (/.f64 841 108) x) |
Compiled 26 to 23 computations (11.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 841 108) x) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 841 108) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 841 108) x) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| 1× | batch-egg-rewrite |
| 901× | pow1_binary64 |
| 858× | add-log-exp_binary64 |
| 858× | log1p-expm1-u_binary64 |
| 858× | expm1-log1p-u_binary64 |
| 849× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 9 |
| 1 | 218 | 9 |
| 2 | 2263 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 841 108) x) |
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 120 |
| 1 | 8 | 102 |
| 2 | 10 | 102 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
| Outputs |
|---|
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(fma.f64 841/108 x 4/29) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 841/108 x 4/29) |
Compiled 8 to 6 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 841/108 x 4/29) |
| 0.0ms | x | @ | 0 | (fma.f64 841/108 x 4/29) |
| 0.0ms | x | @ | inf | (fma.f64 841/108 x 4/29) |
| 1× | batch-egg-rewrite |
| 434× | pow1_binary64 |
| 430× | add-sqr-sqrt_binary64 |
| 417× | *-un-lft-identity_binary64 |
| 407× | add-log-exp_binary64 |
| 407× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 5 |
| 1 | 102 | 5 |
| 2 | 1072 | 5 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 841/108 x 4/29) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (fma.f64 (*.f64 841/108 x) (*.f64 841/108 x) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 841/108 x) (*.f64 841/108 x) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29))))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 72 |
| 1 | 8 | 54 |
| 2 | 10 | 54 |
| 1× | saturated |
| Inputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
| Outputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
Compiled 691 to 562 computations (18.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 5 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 70 | 5 | 75 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.6b | (+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29)) |
| 30.7b | 4/29 | |
| ▶ | 0.1b | (+.f64 (*.f64 841/108 x) 4/29) |
| ▶ | 32.7b | (*.f64 841/108 x) |
| ▶ | 13.9b | (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
Compiled 37 to 31 computations (16.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 841/108 x) |
Compiled 6 to 4 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 841/108 x) |
| 0.0ms | x | @ | -inf | (*.f64 841/108 x) |
| 0.0ms | x | @ | inf | (*.f64 841/108 x) |
| 1× | batch-egg-rewrite |
| 345× | pow1_binary64 |
| 338× | add-sqr-sqrt_binary64 |
| 329× | *-un-lft-identity_binary64 |
| 321× | add-log-exp_binary64 |
| 321× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 80 | 4 |
| 2 | 873 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 841/108 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 841/108 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 841/216)) (log.f64 (pow.f64 (exp.f64 x) 841/216)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/54))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 841/108 x)) (+.f64 1 (*.f64 841/108 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 841/108 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 841/108 x)) (+.f64 1 (*.f64 841/108 x))) 1) (+.f64 (+.f64 1 (*.f64 841/108 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 841/108 x)))) (sqrt.f64 (log.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 841/108 x))) 2)) (cbrt.f64 (log.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 841/108 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 841/108 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))) 2)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 841/108 x) 4/29) |
| 0.1b | (*.f64 841/108 x) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 841/108 x) 4/29) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 841/108 x) 4/29) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 841/108 x) 4/29) |
| 1× | batch-egg-rewrite |
| 642× | pow1_binary64 |
| 606× | add-log-exp_binary64 |
| 606× | log1p-expm1-u_binary64 |
| 606× | expm1-log1p-u_binary64 |
| 597× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 133 | 5 |
| 2 | 1587 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 841/108 x) 4/29) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (pow.f64 (*.f64 841/108 x) 2) (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 72 |
| 1 | 8 | 54 |
| 2 | 10 | 54 |
| 1× | saturated |
| Inputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
| Outputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29)) |
| ✓ | 0.1b | (sqrt.f64 (*.f64 841/108 x)) |
| 0.1b | (*.f64 841/108 x) | |
| ✓ | 0.3b | (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) |
Compiled 32 to 27 computations (15.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (*.f64 841/108 x)) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) |
| 1.0ms | x | @ | inf | (+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29)) |
| 1× | batch-egg-rewrite |
| 910× | pow1_binary64 |
| 863× | add-log-exp_binary64 |
| 862× | log1p-expm1-u_binary64 |
| 862× | expm1-log1p-u_binary64 |
| 850× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 17 |
| 1 | 240 | 15 |
| 2 | 2350 | 15 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) |
(sqrt.f64 (*.f64 841/108 x)) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 841/108 x) 1/4) (*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 841/108) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 841/108) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 1 |
| 1× | saturated |
| Inputs |
|---|
4/29 |
| Outputs |
|---|
4/29 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) |
| 0.1b | (*.f64 841/108 x) | |
| ✓ | 0.2b | (*.f64 (*.f64 x x) 707281/11664) |
| ✓ | 12.9b | (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
Compiled 42 to 27 computations (35.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (*.f64 (*.f64 x x) 707281/11664) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) 707281/11664) |
| 1× | batch-egg-rewrite |
| 623× | log-prod_binary64 |
| 548× | prod-diff_binary64 |
| 244× | fma-def_binary64 |
| 226× | pow1/3_binary64 |
| 226× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 36 |
| 1 | 280 | 24 |
| 2 | 3803 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
(*.f64 (*.f64 x x) 707281/11664) |
(-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 2020× | unswap-sqr_binary64 |
| 1080× | sqr-pow_binary64 |
| 638× | fabs-mul_binary64 |
| 612× | pow-sqr_binary64 |
| 610× | cube-prod_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 243 |
| 1 | 25 | 225 |
| 2 | 43 | 225 |
| 3 | 81 | 225 |
| 4 | 202 | 225 |
| 5 | 603 | 225 |
| 6 | 814 | 225 |
| 7 | 1228 | 225 |
| 8 | 1328 | 225 |
| 9 | 1463 | 225 |
| 10 | 1632 | 225 |
| 11 | 1875 | 225 |
| 12 | 2188 | 225 |
| 13 | 2558 | 225 |
| 14 | 3015 | 225 |
| 15 | 3604 | 225 |
| 16 | 4314 | 225 |
| 17 | 5174 | 225 |
| 18 | 5602 | 225 |
| 19 | 5922 | 225 |
| 20 | 6228 | 225 |
| 21 | 6304 | 225 |
| 22 | 6338 | 225 |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
16/841 |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
| Outputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x 707281/11664)) |
16/841 |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 x (*.f64 x -707281/11664) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 x (*.f64 x -707281/11664) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 x (*.f64 x -707281/11664) 16/841) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 x (*.f64 x -707281/11664) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 x (*.f64 x -707281/11664) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 x (*.f64 x -707281/11664) 16/841) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 x (*.f64 x -707281/11664) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 x (*.f64 x -707281/11664) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 x (*.f64 x -707281/11664) 16/841) |
Compiled 13287 to 10374 computations (21.9% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 468 | 3 | 471 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 2 | 3 |
| Total | 470 | 6 | 476 |
| Status | Error | Program |
|---|---|---|
| ✓ | 13.9b | (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
| ▶ | 46.7b | (/.f64 (*.f64 x (*.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
| 30.7b | 4/29 | |
| ▶ | 0.3b | (+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29)) |
| ✓ | 0.1b | (+.f64 (*.f64 841/108 x) 4/29) |
| ✓ | 32.7b | (*.f64 841/108 x) |
Compiled 49 to 40 computations (18.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29)) |
| ✓ | 0.1b | (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
| ✓ | 1.0b | (pow.f64 (sqrt.f64 841/108) 2) |
Compiled 31 to 28 computations (9.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
| 1.0ms | x | @ | inf | (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
| 1.0ms | x | @ | -inf | (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29)) |
| 1× | batch-egg-rewrite |
| 899× | pow1_binary64 |
| 851× | add-log-exp_binary64 |
| 850× | log1p-expm1-u_binary64 |
| 850× | expm1-log1p-u_binary64 |
| 839× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 10 |
| 1 | 241 | 10 |
| 2 | 2304 | 10 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 841/108) 2) |
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 841/108))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29))))) |
| 1× | egg-herbie |
| 1858× | unswap-sqr_binary64 |
| 1116× | sqr-pow_binary64 |
| 531× | fabs-mul_binary64 |
| 530× | cube-prod_binary64 |
| 519× | pow-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 127 |
| 1 | 16 | 54 |
| 2 | 30 | 54 |
| 3 | 49 | 54 |
| 4 | 97 | 54 |
| 5 | 274 | 54 |
| 6 | 962 | 54 |
| 7 | 1422 | 54 |
| 8 | 1571 | 54 |
| 9 | 1726 | 54 |
| 10 | 1903 | 54 |
| 11 | 2156 | 54 |
| 12 | 2505 | 54 |
| 13 | 2910 | 54 |
| 14 | 3371 | 54 |
| 15 | 3929 | 54 |
| 16 | 4612 | 54 |
| 17 | 5052 | 54 |
| 18 | 5298 | 54 |
| 19 | 5530 | 54 |
| 20 | 5586 | 54 |
| 21 | 5608 | 54 |
| 22 | 6159 | 54 |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
| Outputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)) |
(fma.f64 841/108 x 4/29) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x (*.f64 x -707281/11664)) |
| 0.1b | (*.f64 841/108 x) | |
| ✓ | 0.2b | (*.f64 x -707281/11664) |
| ✓ | 13.0b | (/.f64 (*.f64 x (*.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
Compiled 32 to 23 computations (28.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x (*.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x (*.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
| 0.0ms | x | @ | inf | (*.f64 x -707281/11664) |
| 0.0ms | x | @ | inf | (*.f64 x (*.f64 x -707281/11664)) |
| 0.0ms | x | @ | 0 | (*.f64 x (*.f64 x -707281/11664)) |
| 1× | batch-egg-rewrite |
| 572× | log-prod_binary64 |
| 303× | pow-prod-down_binary64 |
| 280× | pow2_binary64 |
| 238× | prod-diff_binary64 |
| 197× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 227 | 27 |
| 2 | 3045 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
(*.f64 x -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 -11664/707281 (/.f64 (fma.f64 x -841/108 4/29) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x -707281/11664) (/.f64 1 (fma.f64 x -841/108 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (fma.f64 x 841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 x -707281/11664)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 841/108) (sqrt.f64 (neg.f64 (fma.f64 x -841/108 4/29)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 x -707281/11664)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 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(pow.f64 (fma.f64 x -841/108 4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 841/108) (sqrt.f64 (neg.f64 (fma.f64 x -841/108 4/29))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 x -707281/11664))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -707281/11664))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x -707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x -707281/11664)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x -707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/11664))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -707281/11664) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 500246412961/136048896) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -707281/11664) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -707281/11664)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -707281/11664)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 500246412961/136048896))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -707281/11664) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -707281/11664)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -707281/11664))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -707281/11664))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -707281/11664))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -707281/11664)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -707281/11664)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -707281/11664))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))) 1) 1)))))) |
| 1× | egg-herbie |
| 888× | fma-def_binary64 |
| 658× | associate-/r/_binary64 |
| 380× | *-commutative_binary64 |
| 365× | associate-/l/_binary64 |
| 350× | swap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 286 |
| 1 | 103 | 282 |
| 2 | 224 | 280 |
| 3 | 579 | 273 |
| 4 | 1587 | 267 |
| 5 | 3465 | 267 |
| 6 | 5328 | 267 |
| 7 | 6385 | 267 |
| 8 | 7140 | 267 |
| 9 | 7940 | 267 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -20511149/46656 (pow.f64 x 2)) |
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3))) |
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))) |
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))) |
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))) |
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 x) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 -20511149/46656 (pow.f64 x 2)) |
(*.f64 -20511149/46656 (*.f64 x x)) |
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3))) |
(fma.f64 -20511149/46656 (*.f64 x x) (*.f64 -500246412961/20155392 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -500246412961/20155392) -20511149/46656)) |
(*.f64 (*.f64 x x) (fma.f64 x -500246412961/20155392 -20511149/46656)) |
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))) |
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 -500246412961/20155392 (pow.f64 x 3)))) |
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)))) |
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -500246412961/20155392) -20511149/46656))) |
(fma.f64 x (*.f64 x (fma.f64 x -500246412961/20155392 -20511149/46656)) (*.f64 -12200509765705829/8707129344 (pow.f64 x 4))) |
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -12200509765705829/8707129344 -500246412961/20155392) -20511149/46656))) |
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))) |
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (*.f64 -500246412961/20155392 (pow.f64 x 3))))) |
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5))))) |
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 -500246412961/20155392 (pow.f64 x 3))))) |
(fma.f64 x (*.f64 x (fma.f64 x -500246412961/20155392 -20511149/46656)) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x -12200509765705829/8707129344 -500246412961/20155392) -20511149/46656) (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5))) |
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -12200509765705829/8707129344 -500246412961/20155392) -20511149/46656)) (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5))) |
(*.f64 841/108 x) |
(*.f64 x 841/108) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 x 841/108) 4/29) |
(fma.f64 x 841/108 4/29) |
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))) |
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x))) |
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x))) |
(fma.f64 x 841/108 (+.f64 4/29 (/.f64 1728/707281 x))) |
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))) |
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x)))) |
(+.f64 4/29 (+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x)))) |
(+.f64 (fma.f64 x 841/108 4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))) |
(+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 (+.f64 4/29 (/.f64 746496/17249876309 (*.f64 x x))))) |
(+.f64 4/29 (+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 (/.f64 746496/17249876309 (*.f64 x x))))) |
(*.f64 841/108 x) |
(*.f64 x 841/108) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 x 841/108) 4/29) |
(fma.f64 x 841/108 4/29) |
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))) |
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x))) |
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x))) |
(fma.f64 x 841/108 (+.f64 4/29 (/.f64 1728/707281 x))) |
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))) |
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x)))) |
(+.f64 4/29 (+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x)))) |
(+.f64 (fma.f64 x 841/108 4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))) |
(+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 (+.f64 4/29 (/.f64 746496/17249876309 (*.f64 x x))))) |
(+.f64 4/29 (+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 (/.f64 746496/17249876309 (*.f64 x x))))) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -707281/11664) |
(*.f64 x (*.f64 x -707281/11664)) |
Compiled 2683 to 2102 computations (21.7% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 194 | 1 | 195 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 195 | 6 | 201 |
| Status | Error | Program |
|---|---|---|
| ✓ | 13.9b | (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
| ✓ | 46.7b | (/.f64 (*.f64 x (*.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
| 30.7b | 4/29 | |
| ▶ | 32.9b | (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
| ✓ | 0.1b | (+.f64 (*.f64 841/108 x) 4/29) |
| ✓ | 32.7b | (*.f64 841/108 x) |
Compiled 45 to 36 computations (20% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) | |
| 1.0b | (pow.f64 (sqrt.f64 841/108) 2) |
Compiled 16 to 14 computations (12.5% saved)
Compiled 67 to 54 computations (19.4% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 12 | 0 | 12 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 12 | 6 | 18 |
| Status | Error | Program |
|---|---|---|
| ✓ | 13.9b | (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
| ✓ | 46.7b | (/.f64 (*.f64 x (*.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
| 30.7b | 4/29 | |
| ✓ | 32.9b | (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
| ✓ | 0.1b | (+.f64 (*.f64 841/108 x) 4/29) |
| ✓ | 32.7b | (*.f64 841/108 x) |
Compiled 45 to 36 computations (20% saved)
| Inputs |
|---|
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29)) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29)) |
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) |
(fma.f64 841/108 x 4/29) |
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(*.f64 841/108 x) |
4/29 |
4/29 |
| Outputs |
|---|
(fma.f64 841/108 x 4/29) |
5 calls:
| 13.0ms | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| 8.0ms | x |
| 7.0ms | (*.f64 (/.f64 841 108) x) |
| 7.0ms | (*.f64 (/.f64 841 108) x) |
| 5.0ms | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| 0.0b | 1 | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| 0.0b | 1 | (*.f64 (/.f64 841 108) x) |
| 0.0b | 1 | (*.f64 (/.f64 841 108) x) |
Compiled 108 to 90 computations (16.7% saved)
| Inputs |
|---|
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(*.f64 841/108 x) |
4/29 |
4/29 |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
3 calls:
| 5.0ms | (*.f64 (/.f64 841 108) x) |
| 5.0ms | x |
| 5.0ms | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| 0.1b | 1 | (*.f64 (/.f64 841 108) x) |
Compiled 62 to 50 computations (19.4% saved)
| Inputs |
|---|
(+.f64 (*.f64 841/108 x) 4/29) |
(*.f64 841/108 x) |
4/29 |
4/29 |
| Outputs |
|---|
(+.f64 (*.f64 841/108 x) 4/29) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
Total -60.0b remaining (-3513.7%)
Threshold costs -60.0b (-3513.7%)
| Inputs |
|---|
(*.f64 841/108 x) |
4/29 |
4/29 |
| Outputs |
|---|
(*.f64 841/108 x) |
4/29 |
(*.f64 841/108 x) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.7b | 3 | x |
Compiled 8 to 6 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 7.358123303711254e-7 | 0.10266196555053207 |
| 18.0ms | -0.8676585674290122 | -1.3233892757447837e-7 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 41 |
| 1 | 22 | 41 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 841/108 x 4/29) |
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(if (<=.f64 x -16005475536724449280/18446744073709551616) (*.f64 841/108 x) (if (<=.f64 x 3474775486626809/4722366482869645213696) 4/29 (*.f64 841/108 x))) |
4/29 |
| Outputs |
|---|
(fma.f64 841/108 x 4/29) |
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 841/108 x) 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(if (<=.f64 x -16005475536724449280/18446744073709551616) (*.f64 841/108 x) (if (<=.f64 x 3474775486626809/4722366482869645213696) 4/29 (*.f64 841/108 x))) |
(if (<=.f64 x -7815173601916235/9007199254740992) (*.f64 841/108 x) (if (<=.f64 x 3474775486626809/4722366482869645213696) 4/29 (*.f64 841/108 x))) |
4/29 |
Compiled 29 to 23 computations (20.7% saved)
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 5 |
| 1 | 15 | 5 |
| 2 | 16 | 5 |
| 1× | saturated |
Compiled 31 to 27 computations (12.9% saved)
Compiled 26 to 20 computations (23.1% saved)
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