Time bar (total: 7.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 6.2% | 68.6% | 25.1% | 7 |
| 9.4% | 65.5% | 25.1% | 8 |
| 14% | 60.8% | 25.1% | 9 |
| 21.1% | 41.3% | 37.6% | 10 |
| 24.6% | 37.8% | 37.6% | 11 |
| 28.7% | 33.7% | 37.6% | 12 |
Compiled 14 to 11 computations (21.4% saved)
| 1.6s | 8255× | body | 256 | valid |
| 672.0ms | 2715× | body | 256 | invalid |
| 0.0ms | 1× | body | 512 | valid |
| 2× | egg-herbie |
| 40× | fma-def_binary64 |
| 18× | *-commutative_binary64 |
| 12× | associate-*r*_binary64 |
| 12× | associate-*l*_binary64 |
| 8× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 48 |
| 1 | 59 | 40 |
| 2 | 113 | 40 |
| 3 | 149 | 40 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (/.f64 1 2) (+.f64 y (*.f64 x (sqrt.f64 z)))) |
(*.f64 (/.f64 1 2) (+.f64 z (*.f64 y (sqrt.f64 x)))) |
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 z (sqrt.f64 y)))) |
| Outputs |
|---|
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 1/2 (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x)) |
(*.f64 (/.f64 1 2) (+.f64 y (*.f64 x (sqrt.f64 z)))) |
(*.f64 1/2 (+.f64 y (*.f64 x (sqrt.f64 z)))) |
(*.f64 1/2 (fma.f64 x (sqrt.f64 z) y)) |
(*.f64 (/.f64 1 2) (+.f64 z (*.f64 y (sqrt.f64 x)))) |
(*.f64 1/2 (+.f64 z (*.f64 y (sqrt.f64 x)))) |
(*.f64 1/2 (fma.f64 y (sqrt.f64 x) z)) |
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 z (sqrt.f64 y)))) |
(*.f64 1/2 (+.f64 x (*.f64 z (sqrt.f64 y)))) |
(*.f64 1/2 (fma.f64 z (sqrt.f64 y) x)) |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 10× | fma-def_binary64 |
| 8× | *-commutative_binary64 |
| 2× | associate-*r*_binary64 |
| 2× | associate-*l*_binary64 |
| 2× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 12 |
| 1 | 23 | 10 |
| 2 | 38 | 10 |
| 3 | 48 | 10 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Outputs |
|---|
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 1/2 (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x)) |
Compiled 20 to 13 computations (35% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (*.f64 1/2 (fma.f64 y (sqrt.f64 z) x)) |
| ▶ | 0.1b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
Compiled 23 to 17 computations (26.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 y (sqrt.f64 z) x) |
Compiled 21 to 8 computations (61.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (fma.f64 y (sqrt.f64 z) x) |
| 1.0ms | z | @ | -inf | (fma.f64 y (sqrt.f64 z) x) |
| 1.0ms | z | @ | inf | (fma.f64 y (sqrt.f64 z) x) |
| 1.0ms | z | @ | 0 | (fma.f64 y (sqrt.f64 z) x) |
| 1.0ms | y | @ | 0 | (fma.f64 y (sqrt.f64 z) x) |
| 1× | batch-egg-rewrite |
| 544× | pow1_binary64 |
| 519× | add-sqr-sqrt_binary64 |
| 499× | add-log-exp_binary64 |
| 499× | log1p-expm1-u_binary64 |
| 499× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 118 | 7 |
| 2 | 1372 | 7 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y (sqrt.f64 z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (sqrt.f64 z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 148 |
| 1 | 10 | 148 |
| 2 | 11 | 148 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| ✓ | 0.2b | (*.f64 y (sqrt.f64 z)) |
Compiled 33 to 15 computations (54.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 y (sqrt.f64 z)) |
| 1.0ms | z | @ | -inf | (*.f64 y (sqrt.f64 z)) |
| 1.0ms | y | @ | 0 | (*.f64 y (sqrt.f64 z)) |
| 0.0ms | z | @ | inf | (*.f64 y (sqrt.f64 z)) |
| 0.0ms | y | @ | inf | (*.f64 y (sqrt.f64 z)) |
| 1× | batch-egg-rewrite |
| 786× | pow1_binary64 |
| 729× | add-log-exp_binary64 |
| 729× | log1p-expm1-u_binary64 |
| 729× | expm1-log1p-u_binary64 |
| 711× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 148 | 13 |
| 2 | 1996 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (sqrt.f64 z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (*.f64 y y)) (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (/.f64 1 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) (+.f64 (*.f64 z (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 148 |
| 1 | 10 | 148 |
| 2 | 11 | 148 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
| Outputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
Compiled 1029 to 452 computations (56.1% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 65 | 8 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 66 | 9 | 75 |
| Status | Error | Program |
|---|---|---|
| ▶ | 23.3b | (*.f64 (/.f64 1 2) (+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)))) |
| 34.5b | (*.f64 1/2 (*.f64 y (sqrt.f64 z))) | |
| ▶ | 28.0b | (*.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (*.f64 z (*.f64 y y))))) |
| ▶ | 0.1b | (*.f64 1/2 (+.f64 (*.f64 y (sqrt.f64 z)) x)) |
| ✓ | 0.1b | (*.f64 1/2 (fma.f64 y (sqrt.f64 z) x)) |
| ▶ | 28.6b | (*.f64 1/2 x) |
| 33.4b | (*.f64 (/.f64 1 2) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 2))) | |
| 35.5b | (*.f64 (/.f64 1 2) (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) | |
| ▶ | 22.7b | (*.f64 (/.f64 1 2) (fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)) |
Compiled 242 to 179 computations (26% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y (sqrt.f64 z)) x) |
| 0.2b | (*.f64 y (sqrt.f64 z)) |
Compiled 27 to 9 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (+.f64 (*.f64 y (sqrt.f64 z)) x) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 y (sqrt.f64 z)) x) |
| 0.0ms | z | @ | inf | (+.f64 (*.f64 y (sqrt.f64 z)) x) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 y (sqrt.f64 z)) x) |
| 0.0ms | z | @ | 0 | (+.f64 (*.f64 y (sqrt.f64 z)) x) |
| 1× | batch-egg-rewrite |
| 780× | pow1_binary64 |
| 723× | add-log-exp_binary64 |
| 723× | log1p-expm1-u_binary64 |
| 723× | expm1-log1p-u_binary64 |
| 705× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 149 | 7 |
| 2 | 1992 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (sqrt.f64 z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 z (*.f64 y y)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y (sqrt.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 (sqrt.f64 z) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 22 |
| 1 | 7 | 22 |
| 1× | saturated |
| Inputs |
|---|
x |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
x |
(*.f64 y (sqrt.f64 z)) |
x |
x |
| Outputs |
|---|
x |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
x |
(*.f64 y (sqrt.f64 z)) |
x |
x |
Compiled 8 to 6 computations (25% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (sqrt.f64 (*.f64 z (*.f64 y y)))) |
| ✓ | 6.4b | (*.f64 z (*.f64 y y)) |
| ✓ | 28.5b | (sqrt.f64 (*.f64 z (*.f64 y y))) |
Compiled 45 to 16 computations (64.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | (sqrt.f64 (*.f64 z (*.f64 y y))) |
| 2.0ms | z | @ | 0 | (*.f64 z (*.f64 y y)) |
| 1.0ms | y | @ | 0 | (*.f64 z (*.f64 y y)) |
| 1.0ms | z | @ | -inf | (*.f64 z (*.f64 y y)) |
| 1.0ms | y | @ | inf | (*.f64 z (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 895× | pow1_binary64 |
| 832× | add-log-exp_binary64 |
| 832× | log1p-expm1-u_binary64 |
| 832× | expm1-log1p-u_binary64 |
| 810× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 171 | 20 |
| 2 | 2372 | 20 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 z (*.f64 y y))) |
(*.f64 z (*.f64 y y)) |
(+.f64 x (sqrt.f64 (*.f64 z (*.f64 y y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z y) 1/2) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 y y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sqrt.f64 z) y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (*.f64 y y)) (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 z) y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 z) y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 z) y x)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 z) y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 z) y x)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 z) y x)) (sqrt.f64 (fma.f64 (sqrt.f64 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (/.f64 1 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) (+.f64 (*.f64 z (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (sqrt.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 z) y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 z) y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 z) y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 z) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z))))))) |
| 1× | egg-herbie |
| 855× | fma-neg_binary64 |
| 783× | fma-def_binary64 |
| 381× | cube-prod_binary64 |
| 379× | distribute-rgt-neg-in_binary64 |
| 322× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 388 |
| 1 | 28 | 388 |
| 2 | 55 | 388 |
| 3 | 106 | 388 |
| 4 | 245 | 388 |
| 5 | 698 | 388 |
| 6 | 1125 | 388 |
| 7 | 1825 | 388 |
| 8 | 2344 | 388 |
| 9 | 3509 | 388 |
| 10 | 4747 | 388 |
| 11 | 6201 | 388 |
| 12 | 7564 | 388 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
| Outputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
(fma.f64 y (sqrt.f64 z) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))) |
| 0.2b | (*.f64 y (sqrt.f64 z)) | |
| ✓ | 0.2b | (pow.f64 (*.f64 y (sqrt.f64 z)) 3) |
| ✓ | 36.5b | (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) |
Compiled 53 to 28 computations (47.2% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | (pow.f64 (*.f64 y (sqrt.f64 z)) 3) |
| 5.0ms | y | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) |
| 5.0ms | z | @ | -inf | (pow.f64 (*.f64 y (sqrt.f64 z)) 3) |
| 2.0ms | z | @ | inf | (pow.f64 (*.f64 y (sqrt.f64 z)) 3) |
| 1.0ms | y | @ | 0 | (+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))) |
| 1× | batch-egg-rewrite |
| 956× | pow1_binary64 |
| 895× | add-log-exp_binary64 |
| 895× | log1p-expm1-u_binary64 |
| 895× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 218 | 22 |
| 2 | 2534 | 22 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) |
(pow.f64 (*.f64 y (sqrt.f64 z)) 3) |
(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (pow.f64 (*.f64 z (*.f64 y y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (*.f64 y y)) 1/3) (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (sqrt.f64 z) (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 y (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 z)) (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (*.f64 y y)) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 3) (pow.f64 z 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 3/2) (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3/2) (pow.f64 (*.f64 y (sqrt.f64 z)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 3) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 3) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (*.f64 y y)) y) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (*.f64 y y)) (sqrt.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (*.f64 y y)) 1) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (*.f64 y y)) (cbrt.f64 (*.f64 z (*.f64 y y)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (*.f64 y y)) (sqrt.f64 (*.f64 y (sqrt.f64 z)))) (sqrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 y (sqrt.f64 z))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (*.f64 y y)) (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (/.f64 1 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 z (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z))))))) |
| 1× | egg-herbie |
| 789× | fma-def_binary64 |
| 546× | unswap-sqr_binary64 |
| 510× | fma-neg_binary64 |
| 392× | sqr-pow_binary64 |
| 303× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 423 |
| 1 | 45 | 420 |
| 2 | 98 | 396 |
| 3 | 197 | 396 |
| 4 | 339 | 396 |
| 5 | 1071 | 396 |
| 6 | 2256 | 396 |
| 7 | 2442 | 396 |
| 8 | 2748 | 396 |
| 9 | 3611 | 396 |
| 10 | 4174 | 396 |
| 11 | 4902 | 396 |
| 12 | 6238 | 396 |
| 13 | 7651 | 396 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) x) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) x) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) x) |
x |
| Outputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(neg.f64 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (cbrt.f64 -1)))) |
(*.f64 (*.f64 y (cbrt.f64 -1)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sqrt.f64 z) (neg.f64 y))) |
(*.f64 y (neg.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 -1)))) |
(*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(neg.f64 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (cbrt.f64 -1)))) |
(*.f64 (*.f64 y (cbrt.f64 -1)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sqrt.f64 z) (neg.f64 y))) |
(*.f64 y (neg.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 -1)))) |
(*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(neg.f64 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (cbrt.f64 -1)))) |
(*.f64 (*.f64 y (cbrt.f64 -1)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sqrt.f64 z) (neg.f64 y))) |
(*.f64 y (neg.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 -1)))) |
(*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(neg.f64 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (cbrt.f64 -1)))) |
(*.f64 (*.f64 y (cbrt.f64 -1)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sqrt.f64 z) (neg.f64 y))) |
(*.f64 y (neg.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 -1)))) |
(*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) |
(*.f64 (pow.f64 y 3) (pow.f64 z 3/2)) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(neg.f64 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (cbrt.f64 -1)))) |
(*.f64 (*.f64 y (cbrt.f64 -1)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (cbrt.f64 -1) (*.f64 (sqrt.f64 z) (neg.f64 y))) |
(*.f64 y (neg.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 -1)))) |
(*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (cbrt.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) x) |
(fma.f64 -1 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z))) x) |
(-.f64 x (*.f64 y (*.f64 (sqrt.f64 z) (cbrt.f64 -1)))) |
(-.f64 x (*.f64 (sqrt.f64 z) (*.f64 y (cbrt.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) x) |
(fma.f64 -1 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z))) x) |
(-.f64 x (*.f64 y (*.f64 (sqrt.f64 z) (cbrt.f64 -1)))) |
(-.f64 x (*.f64 (sqrt.f64 z) (*.f64 y (cbrt.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) x) |
(fma.f64 -1 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z))) x) |
(-.f64 x (*.f64 y (*.f64 (sqrt.f64 z) (cbrt.f64 -1)))) |
(-.f64 x (*.f64 (sqrt.f64 z) (*.f64 y (cbrt.f64 -1)))) |
x |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 y (sqrt.f64 z)) | |
| ✓ | 5.1b | (cbrt.f64 (*.f64 y (sqrt.f64 z))) |
| 6.4b | (*.f64 z (*.f64 y y)) | |
| ✓ | 33.8b | (cbrt.f64 (*.f64 z (*.f64 y y))) |
Compiled 66 to 19 computations (71.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | z | @ | 0 | (cbrt.f64 (*.f64 y (sqrt.f64 z))) |
| 8.0ms | z | @ | inf | (cbrt.f64 (*.f64 y (sqrt.f64 z))) |
| 6.0ms | z | @ | -inf | (cbrt.f64 (*.f64 y (sqrt.f64 z))) |
| 2.0ms | y | @ | -inf | (cbrt.f64 (*.f64 y (sqrt.f64 z))) |
| 1.0ms | y | @ | 0 | (cbrt.f64 (*.f64 y (sqrt.f64 z))) |
| 1× | batch-egg-rewrite |
| 730× | pow1_binary64 |
| 676× | add-log-exp_binary64 |
| 676× | log1p-expm1-u_binary64 |
| 676× | expm1-log1p-u_binary64 |
| 655× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 177 | 17 |
| 2 | 2084 | 17 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 z (*.f64 y y))) |
(cbrt.f64 (*.f64 y (sqrt.f64 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 z (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) (cbrt.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (pow.f64 (*.f64 y (sqrt.f64 z)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 1/6) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z y)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z y) 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 y y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 y y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 1/6) (pow.f64 (*.f64 y (sqrt.f64 z)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 1/3) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 y y)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))))))))) |
| 1× | egg-herbie |
| 1984× | unswap-sqr_binary64 |
| 924× | sqr-pow_binary64 |
| 334× | pow-sqr_binary64 |
| 317× | *-commutative_binary64 |
| 277× | cube-prod_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 136 |
| 1 | 47 | 136 |
| 2 | 97 | 136 |
| 3 | 254 | 136 |
| 4 | 1018 | 136 |
| 5 | 1970 | 136 |
| 6 | 2055 | 136 |
| 7 | 2201 | 136 |
| 8 | 2382 | 136 |
| 9 | 2563 | 136 |
| 10 | 2791 | 136 |
| 11 | 3081 | 136 |
| 12 | 3412 | 136 |
| 13 | 3809 | 136 |
| 14 | 4246 | 136 |
| 15 | 4708 | 136 |
| 16 | 4848 | 136 |
| 17 | 4968 | 136 |
| 18 | 5040 | 136 |
| 19 | 5124 | 136 |
| 20 | 5148 | 136 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6)) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6)) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6)) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6)) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6)) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6)) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6)) |
(*.f64 (sqrt.f64 1) (*.f64 (pow.f64 y 1/3) (pow.f64 z 1/6))) |
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))) |
Compiled 5341 to 2352 computations (56% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 313 | 7 | 320 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 318 | 11 | 329 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 1/2 (fma.f64 y (sqrt.f64 z) x)) |
| 28.0b | (*.f64 1/2 (+.f64 (sqrt.f64 (*.f64 z (*.f64 y y))) x)) | |
| ▶ | 16.3b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))) |
| ▶ | 34.5b | (*.f64 1/2 (*.f64 y (sqrt.f64 z))) |
| ✓ | 0.1b | (*.f64 1/2 (+.f64 (*.f64 y (sqrt.f64 z)) x)) |
| ✓ | 28.6b | (*.f64 1/2 x) |
| ▶ | 0.2b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y)))) |
| ▶ | 25.3b | (*.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z))))) |
| 0.4b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y)))) | |
| ▶ | 38.0b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y)))) |
| 35.5b | (*.f64 1/2 (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) |
Compiled 283 to 206 computations (27.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y))) |
| ✓ | 0.3b | (*.f64 (pow.f64 z 1/4) y) |
| ✓ | 0.3b | (*.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y)) |
Compiled 55 to 38 computations (30.9% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | y | @ | 0 | (*.f64 (pow.f64 z 1/4) y) |
| 19.0ms | z | @ | -inf | (*.f64 (pow.f64 z 1/4) y) |
| 9.0ms | z | @ | 0 | (*.f64 (pow.f64 z 1/4) y) |
| 5.0ms | z | @ | -inf | (+.f64 x (*.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y))) |
| 1.0ms | z | @ | inf | (*.f64 (pow.f64 z 1/4) y) |
| 1× | batch-egg-rewrite |
| 939× | prod-diff_binary64 |
| 471× | log-prod_binary64 |
| 328× | pow-prod-down_binary64 |
| 255× | fma-def_binary64 |
| 251× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 197 | 20 |
| 2 | 2565 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y)) |
(*.f64 (pow.f64 z 1/4) y) |
(+.f64 x (*.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 z 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 z 1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z 1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z 1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z 1/4) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 1/4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y (sqrt.f64 z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3/4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 y) (pow.f64 z 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 z 1/4) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (pow.f64 z 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 z 1/4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 z 1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 z 1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 z 1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z 1/4) y)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (*.f64 y y)) (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (/.f64 1 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 z (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (*.f64 y y) (neg.f64 (*.f64 x x))) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 z 1/4) y) (pow.f64 z 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 y (sqrt.f64 z)))) (*.f64 (*.f64 (cbrt.f64 y) (pow.f64 z 1/12)) (pow.f64 z 1/4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (*.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 z)) (*.f64 (pow.f64 z 1/12) (*.f64 (pow.f64 z 1/4) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (pow.f64 z 1/4) y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 z 1/4) y)) (pow.f64 z 1/4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z 1/8) (*.f64 (pow.f64 z 1/8) (*.f64 (pow.f64 z 1/4) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 z) 1) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 z 1/4) (cbrt.f64 (*.f64 y (*.f64 y (sqrt.f64 z))))) (*.f64 (cbrt.f64 y) (pow.f64 z 1/12)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 z 1/4) (sqrt.f64 (*.f64 (pow.f64 z 1/4) y))) (sqrt.f64 (*.f64 (pow.f64 z 1/4) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 z 1/4) y) (cbrt.f64 (sqrt.f64 z))) (pow.f64 z 1/12) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 z 1/4) y) (pow.f64 z 1/8)) (pow.f64 z 1/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 z y) 1/2) (sqrt.f64 y) x))))) |
| 1× | egg-herbie |
| 674× | fma-def_binary64 |
| 634× | div-sub_binary64 |
| 610× | fma-neg_binary64 |
| 362× | times-frac_binary64 |
| 232× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 388 |
| 1 | 49 | 388 |
| 2 | 99 | 388 |
| 3 | 213 | 388 |
| 4 | 593 | 388 |
| 5 | 1744 | 388 |
| 6 | 5484 | 388 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
| Outputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/4) y) |
(*.f64 y (pow.f64 z 1/4)) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 y (sqrt.f64 z)) |
Compiled 18 to 8 computations (55.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z)))) |
| ✓ | 0.1b | (*.f64 y (*.f64 y z)) |
| ✓ | 28.5b | (sqrt.f64 (*.f64 y (*.f64 y z))) |
Compiled 45 to 16 computations (64.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | (*.f64 y (*.f64 y z)) |
| 0.0ms | z | @ | 0 | (sqrt.f64 (*.f64 y (*.f64 y z))) |
| 0.0ms | z | @ | -inf | (+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z)))) |
| 0.0ms | z | @ | inf | (sqrt.f64 (*.f64 y (*.f64 y z))) |
| 0.0ms | z | @ | -inf | (sqrt.f64 (*.f64 y (*.f64 y z))) |
| 1× | batch-egg-rewrite |
| 911× | pow1_binary64 |
| 845× | add-log-exp_binary64 |
| 845× | log1p-expm1-u_binary64 |
| 845× | expm1-log1p-u_binary64 |
| 825× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 170 | 22 |
| 2 | 2352 | 22 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 y (*.f64 y z))) |
(*.f64 y (*.f64 y z)) |
(+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y y) 1/2) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 y (sqrt.f64 z)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 y (*.f64 y z)) (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y (sqrt.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)) 2) (cbrt.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)) (sqrt.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (neg.f64 (*.f64 y (*.f64 y z)))) (/.f64 1 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (fma.f64 x x (neg.f64 (*.f64 y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3)) (+.f64 (*.f64 y (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (neg.f64 (*.f64 y (*.f64 y z)))) (-.f64 x (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sqrt.f64 z)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x (neg.f64 (*.f64 y (*.f64 y z))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z))))))) |
| 1× | egg-herbie |
| 855× | fma-neg_binary64 |
| 783× | fma-def_binary64 |
| 381× | cube-prod_binary64 |
| 379× | distribute-rgt-neg-in_binary64 |
| 322× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 388 |
| 1 | 28 | 388 |
| 2 | 55 | 388 |
| 3 | 106 | 388 |
| 4 | 245 | 388 |
| 5 | 698 | 388 |
| 6 | 1125 | 388 |
| 7 | 1825 | 388 |
| 8 | 2344 | 388 |
| 9 | 3509 | 388 |
| 10 | 4747 | 388 |
| 11 | 6201 | 388 |
| 12 | 7564 | 388 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
x |
| Outputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 -1 (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 -1 (*.f64 y (sqrt.f64 z))) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y))) |
| ✓ | 0.1b | (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y)) |
| ✓ | 9.4b | (sqrt.f64 (*.f64 z y)) |
Compiled 49 to 17 computations (65.3% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (sqrt.f64 (*.f64 z y)) |
| 1.0ms | y | @ | -inf | (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y)) |
| 1.0ms | z | @ | 0 | (sqrt.f64 (*.f64 z y)) |
| 1.0ms | y | @ | 0 | (sqrt.f64 (*.f64 z y)) |
| 1.0ms | y | @ | -inf | (sqrt.f64 (*.f64 z y)) |
| 1× | batch-egg-rewrite |
| 965× | pow1_binary64 |
| 893× | add-log-exp_binary64 |
| 893× | log1p-expm1-u_binary64 |
| 893× | expm1-log1p-u_binary64 |
| 97× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 190 | 21 |
| 2 | 2498 | 21 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 z y)) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y)) |
(+.f64 x (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 z y))) (cbrt.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z y)) (cbrt.f64 (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z y) 1/4) (pow.f64 (*.f64 z y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (sqrt.f64 (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 z y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 z) 1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 z) (pow.f64 y 1/4)) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 z y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 z y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (*.f64 y (*.f64 z y)) (-.f64 x (*.f64 (sqrt.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sqrt.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)) 2) (cbrt.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)) (sqrt.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sqrt.f64 z) y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y))) (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sqrt.f64 z) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sqrt.f64 z) y) 3)) (fma.f64 x x (*.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sqrt.f64 z) y) 3)) (+.f64 (*.f64 y (*.f64 z y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y))) (-.f64 x (*.f64 (sqrt.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sqrt.f64 z) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y (*.f64 z y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 (sqrt.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (sqrt.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (sqrt.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 z y))) (cbrt.f64 (*.f64 (sqrt.f64 z) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 (*.f64 (sqrt.f64 z) y)) x))))) |
| 1× | egg-herbie |
| 1019× | fma-def_binary64 |
| 519× | fma-neg_binary64 |
| 446× | cube-prod_binary64 |
| 395× | distribute-rgt-neg-in_binary64 |
| 317× | distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 220 |
| 1 | 31 | 220 |
| 2 | 85 | 220 |
| 3 | 209 | 220 |
| 4 | 781 | 220 |
| 5 | 1712 | 220 |
| 6 | 2839 | 220 |
| 7 | 4063 | 220 |
| 8 | 5212 | 220 |
| 9 | 6969 | 220 |
| 1× | unsound |
| Inputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z))) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z))) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z))) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z))) |
(+.f64 x (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z)))) |
(+.f64 x (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z)))) |
(+.f64 x (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z)))) |
| Outputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 x (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z)))) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 x (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z)))) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 x (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y) (sqrt.f64 z)))) |
(fma.f64 y (sqrt.f64 z) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
| ✓ | 0.4b | (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) |
| ✓ | 0.6b | (cbrt.f64 y) |
| ✓ | 29.9b | (cbrt.f64 (*.f64 y y)) |
Compiled 67 to 19 computations (71.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
| 1.0ms | z | @ | 0 | (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) |
| 1.0ms | z | @ | -inf | (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) |
| 1.0ms | z | @ | inf | (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) |
| 1.0ms | y | @ | -inf | (cbrt.f64 y) |
| 1× | batch-egg-rewrite |
| 734× | pow1_binary64 |
| 678× | add-log-exp_binary64 |
| 678× | log1p-expm1-u_binary64 |
| 678× | expm1-log1p-u_binary64 |
| 657× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 176 | 26 |
| 2 | 1987 | 26 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 y y)) |
(cbrt.f64 y) |
(*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) |
(*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 y (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (*.f64 (pow.f64 y 1/6) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 y y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z (*.f64 y y)) (sqrt.f64 z)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 y) (pow.f64 z 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (*.f64 y (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cbrt.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 z (*.f64 y y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 y y) (pow.f64 z 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3/2) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 y y)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3/2) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))))) |
| 1× | egg-herbie |
| 244× | fma-def_binary64 |
| 21× | sub-neg_binary64 |
| 20× | distribute-rgt-in_binary64 |
| 18× | distribute-lft-in_binary64 |
| 18× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 100 |
| 1 | 19 | 100 |
| 2 | 48 | 100 |
| 3 | 94 | 100 |
| 4 | 102 | 100 |
| 5 | 150 | 100 |
| 6 | 222 | 100 |
| 7 | 259 | 100 |
| 8 | 301 | 100 |
| 9 | 470 | 100 |
| 10 | 498 | 100 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
| Outputs |
|---|
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(neg.f64 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z)))) |
(*.f64 (*.f64 y (cbrt.f64 -1)) (neg.f64 (sqrt.f64 z))) |
(*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(neg.f64 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z)))) |
(*.f64 (*.f64 y (cbrt.f64 -1)) (neg.f64 (sqrt.f64 z))) |
(*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(neg.f64 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z)))) |
(*.f64 (*.f64 y (cbrt.f64 -1)) (neg.f64 (sqrt.f64 z))) |
(*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (sqrt.f64 z))) |
(neg.f64 (*.f64 y (*.f64 (cbrt.f64 -1) (sqrt.f64 z)))) |
(*.f64 (*.f64 y (cbrt.f64 -1)) (neg.f64 (sqrt.f64 z))) |
(*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (cbrt.f64 -1)))) |
Compiled 5619 to 2850 computations (49.3% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 342 | 5 | 347 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 343 | 15 | 358 |
| Status | Error | Program |
|---|---|---|
| ✓ | 16.3b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))) |
| ✓ | 0.1b | (*.f64 1/2 (fma.f64 y (sqrt.f64 z) x)) |
| ▶ | 32.3b | (*.f64 (/.f64 1 2) (/.f64 (-.f64 (*.f64 y (*.f64 z y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))) |
| ✓ | 28.6b | (*.f64 1/2 x) |
| ▶ | 57.7b | (*.f64 1/2 (sqrt.f64 (*.f64 z (*.f64 y y)))) |
| 2.1b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (pow.f64 z 1/4) (pow.f64 (*.f64 (cbrt.f64 y) (pow.f64 z 1/12)) 3)))) | |
| 0.6b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))) | |
| ✓ | 34.5b | (*.f64 1/2 (*.f64 y (sqrt.f64 z))) |
| ✓ | 0.1b | (*.f64 1/2 (+.f64 (*.f64 y (sqrt.f64 z)) x)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y)))) |
| ✓ | 25.3b | (*.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z))))) |
| ▶ | 32.4b | (*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))))) |
| ▶ | 0.4b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y)))) |
| ✓ | 38.0b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y)))) |
| ▶ | 35.5b | (*.f64 1/2 (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) |
Compiled 378 to 272 computations (28% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (cbrt.f64 (sqrt.f64 z)) y) |
| ✓ | 0.4b | (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y)) |
| ✓ | 0.5b | (cbrt.f64 (sqrt.f64 z)) |
| ✓ | 0.6b | (cbrt.f64 z) |
Compiled 55 to 18 computations (67.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | z | @ | -inf | (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y)) |
| 3.0ms | z | @ | -inf | (cbrt.f64 (sqrt.f64 z)) |
| 2.0ms | z | @ | -inf | (*.f64 (cbrt.f64 (sqrt.f64 z)) y) |
| 1.0ms | z | @ | 0 | (*.f64 (cbrt.f64 (sqrt.f64 z)) y) |
| 1.0ms | y | @ | 0 | (*.f64 (cbrt.f64 (sqrt.f64 z)) y) |
| 1× | batch-egg-rewrite |
| 665× | pow1_binary64 |
| 614× | add-log-exp_binary64 |
| 614× | log1p-expm1-u_binary64 |
| 614× | expm1-log1p-u_binary64 |
| 596× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 1 | 155 | 20 |
| 2 | 1818 | 20 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 z) |
(cbrt.f64 (sqrt.f64 z)) |
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y)) |
(*.f64 (cbrt.f64 (sqrt.f64 z)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (*.f64 (cbrt.f64 (pow.f64 z 1/6)) (pow.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/6) (*.f64 (pow.f64 (sqrt.f64 z) 1/6) (pow.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/4) (pow.f64 (sqrt.f64 z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/3) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 z 1/6) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (pow.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 z) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 z 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 z 1/6)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (pow.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/6) (pow.f64 (sqrt.f64 z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 z 1/4) 1/3) (pow.f64 (pow.f64 z 1/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 z 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 z 1/6))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z (pow.f64 (*.f64 (pow.f64 z 1/6) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 1/6) y) 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 z 1/6) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 1/6) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 z 1/6) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 z 1/6) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 z 1/6) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cbrt.f64 z) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 z 1/6)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 z 1/6) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sqrt.f64 z) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 z 1/6) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 z 1/6) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 z 1/6) y))))))) |
| 1× | egg-herbie |
| 934× | unswap-sqr_binary64 |
| 790× | sqr-pow_binary64 |
| 673× | cube-prod_binary64 |
| 469× | *-commutative_binary64 |
| 441× | unpow3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 360 |
| 1 | 45 | 360 |
| 2 | 92 | 360 |
| 3 | 244 | 360 |
| 4 | 1054 | 360 |
| 5 | 1643 | 360 |
| 6 | 3043 | 360 |
| 7 | 3152 | 360 |
| 8 | 3317 | 360 |
| 9 | 3509 | 360 |
| 10 | 3728 | 360 |
| 11 | 4030 | 360 |
| 12 | 4425 | 360 |
| 13 | 4904 | 360 |
| 14 | 5492 | 360 |
| 15 | 6242 | 360 |
| 16 | 6595 | 360 |
| 17 | 6995 | 360 |
| 18 | 7391 | 360 |
| 19 | 7857 | 360 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) y)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) y)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) y)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) y)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
| Outputs |
|---|
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(pow.f64 z 1/6) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (sqrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (sqrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (sqrt.f64 -1))) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (sqrt.f64 -1))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) y)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (*.f64 (cbrt.f64 (sqrt.f64 -1)) y)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) y)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (*.f64 (cbrt.f64 (sqrt.f64 -1)) y)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) y)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (*.f64 (cbrt.f64 (sqrt.f64 -1)) y)) |
(*.f64 (pow.f64 (*.f64 -1 z) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) y)) |
(*.f64 (pow.f64 (neg.f64 z) 1/6) (*.f64 (cbrt.f64 (sqrt.f64 -1)) y)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
(*.f64 (pow.f64 (*.f64 1 z) 1/6) y) |
(*.f64 y (pow.f64 z 1/6)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.4b | (*.f64 z (*.f64 y y)) | |
| 28.5b | (sqrt.f64 (*.f64 z (*.f64 y y))) |
Compiled 28 to 9 computations (67.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 y (sqrt.f64 z)) | |
| ✓ | 4.3b | (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
| 6.4b | (*.f64 z (*.f64 y y)) | |
| ✓ | 30.4b | (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
Compiled 73 to 14 computations (80.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | -inf | (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
| 5.0ms | z | @ | inf | (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
| 4.0ms | z | @ | 0 | (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
| 3.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
| 1× | batch-egg-rewrite |
| 759× | fma-def_binary64 |
| 737× | log-prod_binary64 |
| 402× | fma-neg_binary64 |
| 236× | expm1-udef_binary64 |
| 236× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 277 | 20 |
| 2 | 4251 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (sqrt.f64 z) (neg.f64 x))) (neg.f64 (/.f64 x (/.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (sqrt.f64 z) (neg.f64 x))) (/.f64 x (/.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) x)))))) (#(struct:change #<rule 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y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x) (hypot.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) 1) y (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) 1) y (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) 1) y (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) 1) y (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (cbrt.f64 (*.f64 z (*.f64 y y)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (cbrt.f64 (*.f64 z (*.f64 y y)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (cbrt.f64 (*.f64 z (*.f64 y y)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (cbrt.f64 (*.f64 z (*.f64 y y)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 636× | fma-def_binary64 |
| 571× | fma-neg_binary64 |
| 484× | unswap-sqr_binary64 |
| 440× | distribute-rgt-neg-in_binary64 |
| 334× | distribute-lft-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 585 |
| 1 | 30 | 558 |
| 2 | 56 | 558 |
| 3 | 116 | 558 |
| 4 | 303 | 558 |
| 5 | 1028 | 558 |
| 6 | 2125 | 558 |
| 7 | 4222 | 558 |
| 8 | 5510 | 558 |
| 9 | 6554 | 558 |
| 10 | 7249 | 558 |
| 11 | 7925 | 558 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 (pow.f64 y 2) z) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 (pow.f64 y 2) z) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 (pow.f64 y 2) z) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 (pow.f64 y 2) z) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 (pow.f64 y 2) z) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
| Outputs |
|---|
x |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 y (*.f64 z y)) |
| ✓ | 0.2b | (*.f64 (sqrt.f64 z) y) |
| ✓ | 4.3b | (-.f64 (*.f64 y (*.f64 z y)) (*.f64 x x)) |
| ✓ | 30.4b | (/.f64 (-.f64 (*.f64 y (*.f64 z y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
Compiled 79 to 20 computations (74.7% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (/.f64 (-.f64 (*.f64 y (*.f64 z y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
| 1.0ms | z | @ | inf | (/.f64 (-.f64 (*.f64 y (*.f64 z y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
| 1.0ms | z | @ | 0 | (/.f64 (-.f64 (*.f64 y (*.f64 z y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
| 1.0ms | z | @ | -inf | (*.f64 (sqrt.f64 z) y) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 (*.f64 y (*.f64 z y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
| 1× | batch-egg-rewrite |
| 745× | log-prod_binary64 |
| 711× | fma-def_binary64 |
| 372× | fma-neg_binary64 |
| 240× | expm1-udef_binary64 |
| 240× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 50 |
| 1 | 277 | 33 |
| 2 | 4241 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 y (*.f64 z y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(-.f64 (*.f64 y (*.f64 z y)) (*.f64 x x)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (*.f64 z y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (/.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 y z))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (/.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 y z))) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 y (sqrt.f64 z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y (*.f64 y z) (*.f64 x (neg.f64 x))) (neg.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z))))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y z))) 1)))))) |
| 1× | egg-herbie |
| 636× | fma-def_binary64 |
| 571× | fma-neg_binary64 |
| 484× | unswap-sqr_binary64 |
| 440× | distribute-rgt-neg-in_binary64 |
| 334× | distribute-lft-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 825 |
| 1 | 30 | 798 |
| 2 | 56 | 798 |
| 3 | 116 | 798 |
| 4 | 303 | 798 |
| 5 | 1028 | 798 |
| 6 | 2125 | 798 |
| 7 | 4222 | 798 |
| 8 | 5510 | 798 |
| 9 | 6554 | 798 |
| 10 | 7249 | 798 |
| 11 | 7925 | 798 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 (pow.f64 y 2) z) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 (pow.f64 y 2) z) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 (pow.f64 y 2) z) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 (pow.f64 y 2) z) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 (pow.f64 y 2) z) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 (pow.f64 y 2) z) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 y 2) z)) |
(fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) |
(-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x x))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (pow.f64 y 2) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (sqrt.f64 z) y) | |
| ✓ | 0.3b | (/.f64 1 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y))))) |
| ✓ | 4.2b | (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y))) |
| ✓ | 30.3b | (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))) |
Compiled 99 to 24 computations (75.8% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | 0 | (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))) |
| 15.0ms | z | @ | inf | (/.f64 1 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y))))) |
| 3.0ms | z | @ | inf | (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))) |
| 2.0ms | z | @ | -inf | (/.f64 1 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y))))) |
| 2.0ms | z | @ | -inf | (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))) |
| 1× | batch-egg-rewrite |
| 863× | log-prod_binary64 |
| 679× | fma-def_binary64 |
| 286× | fma-neg_binary64 |
| 272× | expm1-udef_binary64 |
| 272× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 1 | 325 | 34 |
| 2 | 4883 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z y))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y))))) |
| Outputs |
|---|
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y x) (*.f64 (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))) (fma.f64 y (*.f64 z (neg.f64 y)) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (*.f64 (fma.f64 y (*.f64 z (neg.f64 y)) (*.f64 z (*.f64 y y))) (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (*.f64 (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))) (fma.f64 y (*.f64 z (neg.f64 y)) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))) 1) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (*.f64 (fma.f64 y (*.f64 z (neg.f64 y)) (*.f64 z (*.f64 y y))) (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))) 1) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (*.f64 (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))) (fma.f64 y (*.f64 z (neg.f64 y)) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (*.f64 (fma.f64 y (*.f64 z (neg.f64 y)) (*.f64 z (*.f64 y y))) (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (*.f64 (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))) (fma.f64 y (*.f64 z (neg.f64 y)) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z (neg.f64 y)))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z (neg.f64 y))))) (*.f64 (fma.f64 y (*.f64 z (neg.f64 y)) (*.f64 z (*.f64 y y))) (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z (neg.f64 y)))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z (neg.f64 y))))) (*.f64 (/.f64 1 (-.f64 x (*.f64 (sqrt.f64 z) y))) (fma.f64 y (*.f64 z (neg.f64 y)) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4) x))))) |
| 1× | egg-herbie |
| 859× | fma-neg_binary64 |
| 521× | associate-/l/_binary64 |
| 418× | associate-/r/_binary64 |
| 337× | sub-neg_binary64 |
| 312× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 1371 |
| 1 | 159 | 1281 |
| 2 | 531 | 1260 |
| 3 | 2702 | 1236 |
| 4 | 6900 | 1230 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) |
(+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 2))))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 3))))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 3))))))) |
(/.f64 1 x) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 3))))))) |
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) |
(+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 2))))))) |
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) |
(+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 2))))))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(*.f64 -1 (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(*.f64 -1 (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(*.f64 -1 (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(*.f64 -1 (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
x |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
| Outputs |
|---|
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) |
(/.f64 (sqrt.f64 (/.f64 1 z)) y) |
(+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z)))) |
(fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (*.f64 z (*.f64 y y))))) |
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 x z) (*.f64 y y))) |
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 x (*.f64 y (*.f64 y z)))) |
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 x (*.f64 y y)) z)) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))) |
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (neg.f64 (/.f64 x (*.f64 z (*.f64 y y)))))) |
(fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 x z) (*.f64 y y)))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 y 3)) x) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 (sqrt.f64 (/.f64 1 z)) y)) (/.f64 (/.f64 x z) (*.f64 y y))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 -1 z) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 2))))))) |
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (fma.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 z (*.f64 y y))) (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (*.f64 z z))))))) |
(fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 x z) (*.f64 y y))) (/.f64 (pow.f64 x 3) (*.f64 z (*.f64 z (pow.f64 y 4)))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 y 3)) x) (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 (sqrt.f64 (/.f64 1 z)) y)) (+.f64 (/.f64 (/.f64 x z) (*.f64 y y)) (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (*.f64 z z))))) |
(+.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (*.f64 z z)))) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 -1 z) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y))))) |
(+.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 z)) y) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (*.f64 z z))) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 -1 z) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (/.f64 x y))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z)))) |
(+.f64 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 y (*.f64 x x)) (sqrt.f64 z)))) |
(-.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (sqrt.f64 z))) |
(-.f64 (/.f64 1 x) (/.f64 (*.f64 y (sqrt.f64 z)) (*.f64 x x))) |
(-.f64 (/.f64 1 x) (*.f64 y (/.f64 (sqrt.f64 z) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))))) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 y (*.f64 x x)) (sqrt.f64 z)))) (/.f64 (*.f64 z (*.f64 y y)) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (sqrt.f64 z))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z)) |
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) z (-.f64 (/.f64 1 x) (/.f64 (*.f64 y (sqrt.f64 z)) (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) x) (sqrt.f64 z)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 3))))))) |
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(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) z)) |
(neg.f64 (*.f64 z (*.f64 y y))) |
(*.f64 (*.f64 y y) (neg.f64 z)) |
(*.f64 y (neg.f64 (*.f64 y z))) |
(*.f64 y (*.f64 y (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) z)) |
(neg.f64 (*.f64 z (*.f64 y y))) |
(*.f64 (*.f64 y y) (neg.f64 z)) |
(*.f64 y (neg.f64 (*.f64 y z))) |
(*.f64 y (*.f64 y (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) z)) |
(neg.f64 (*.f64 z (*.f64 y y))) |
(*.f64 (*.f64 y y) (neg.f64 z)) |
(*.f64 y (neg.f64 (*.f64 y z))) |
(*.f64 y (*.f64 y (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) z)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 z (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) |
(fma.f64 z (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
x |
x |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(*.f64 y (sqrt.f64 z)) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(fma.f64 y (sqrt.f64 z) x) |
Compiled 32367 to 9944 computations (69.3% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1168 | 7 | 1175 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 5 | 7 | 12 |
| Total | 1175 | 15 | 1190 |
| Status | Error | Program |
|---|---|---|
| 0.6b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))) | |
| 56.6b | (*.f64 1/2 (sqrt.f64 (*.f64 y (*.f64 y z)))) | |
| 49.5b | (*.f64 1/2 (/.f64 (*.f64 y (*.f64 y z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) | |
| ✓ | 28.6b | (*.f64 1/2 x) |
| ✓ | 57.7b | (*.f64 1/2 (sqrt.f64 (*.f64 z (*.f64 y y)))) |
| 34.6b | (*.f64 (/.f64 1 2) (/.f64 1 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))))) | |
| ✓ | 34.5b | (*.f64 1/2 (*.f64 y (sqrt.f64 z))) |
| ✓ | 0.1b | (*.f64 1/2 (fma.f64 y (sqrt.f64 z) x)) |
| ✓ | 0.1b | (*.f64 1/2 (+.f64 (*.f64 y (sqrt.f64 z)) x)) |
| 34.6b | (*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y))) | |
| 1.8b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (cbrt.f64 z) (*.f64 (pow.f64 z 1/6) y)))) | |
| 53.3b | (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y))) | |
| ✓ | 0.4b | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y)))) |
| ✓ | 35.5b | (*.f64 1/2 (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) |
| 28.7b | (*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x))) |
Compiled 205 to 155 computations (24.4% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x))) |
(*.f64 1/2 (*.f64 y (sqrt.f64 z))) |
(*.f64 1/2 (sqrt.f64 (*.f64 y (*.f64 y z)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 z (*.f64 y y)))) |
(*.f64 1/2 (+.f64 (*.f64 y (sqrt.f64 z)) x)) |
(*.f64 1/2 (+.f64 (sqrt.f64 (*.f64 z (*.f64 y y))) x)) |
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y))) |
(*.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z))))) |
(*.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (*.f64 z (*.f64 y y))))) |
(*.f64 1/2 (/.f64 (*.f64 y (*.f64 y z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) |
(*.f64 (/.f64 1 2) (/.f64 1 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))))) |
(*.f64 1/2 (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) |
(*.f64 (/.f64 1 2) (/.f64 (-.f64 (*.f64 y (*.f64 z y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))) |
(*.f64 (/.f64 1 2) (/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) |
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z y)))))) |
(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x)) |
(*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y))) |
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y)))) |
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 (cbrt.f64 z) (*.f64 (pow.f64 z 1/6) y)))) |
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y)))) |
(*.f64 (/.f64 1 2) (+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3)))) |
(*.f64 (/.f64 1 2) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 2))) |
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y)))) |
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))) |
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))) |
(*.f64 (/.f64 1 2) (fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)) |
(*.f64 (/.f64 1 2) (+.f64 x (*.f64 (pow.f64 z 1/4) (pow.f64 (*.f64 (cbrt.f64 y) (pow.f64 z 1/12)) 3)))) |
| Outputs |
|---|
(*.f64 1/2 (+.f64 (*.f64 y (sqrt.f64 z)) x)) |
7 calls:
| 20.0ms | (sqrt.f64 z) |
| 18.0ms | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 17.0ms | y |
| 16.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 16.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (*.f64 (/.f64 1 2) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 0.1b | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 0.1b | 1 | (*.f64 y (sqrt.f64 z)) |
| 0.1b | 1 | (sqrt.f64 z) |
Compiled 420 to 232 computations (44.8% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x))) |
(*.f64 1/2 (*.f64 y (sqrt.f64 z))) |
(*.f64 1/2 (sqrt.f64 (*.f64 y (*.f64 y z)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 z (*.f64 y y)))) |
| Outputs |
|---|
(*.f64 1/2 (*.f64 y (sqrt.f64 z))) |
(*.f64 1/2 x) |
(*.f64 1/2 (*.f64 y (sqrt.f64 z))) |
5 calls:
| 49.0ms | (sqrt.f64 z) |
| 46.0ms | z |
| 15.0ms | (*.f64 y (sqrt.f64 z)) |
| 13.0ms | y |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 16.2b | 3 | x |
| 14.5b | 3 | y |
| 18.8b | 12 | z |
| 14.5b | 3 | (*.f64 y (sqrt.f64 z)) |
| 18.8b | 12 | (sqrt.f64 z) |
Compiled 61 to 45 computations (26.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 32.4730636386114 | 260853.69559758907 |
| 0.0ms | -206624.3206293886 | -174884.60996764578 |
Compiled 19 to 15 computations (21.1% saved)
Total -0.1b remaining (-0.4%)
Threshold costs -0.1b (-0.4%)
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x))) |
| Outputs |
|---|
(*.f64 1/2 x) |
3 calls:
| 4.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 28.6b | 1 | x |
| 28.6b | 1 | y |
| 28.6b | 1 | z |
Compiled 27 to 22 computations (18.5% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 60 |
| 1 | 23 | 60 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (+.f64 (*.f64 y (sqrt.f64 z)) x)) |
(if (<=.f64 (*.f64 y (sqrt.f64 z)) -200000) (*.f64 1/2 (*.f64 y (sqrt.f64 z))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) 50) (*.f64 1/2 x) (*.f64 1/2 (*.f64 y (sqrt.f64 z))))) |
(*.f64 1/2 x) |
| Outputs |
|---|
(*.f64 1/2 (+.f64 (*.f64 y (sqrt.f64 z)) x)) |
(if (<=.f64 (*.f64 y (sqrt.f64 z)) -200000) (*.f64 1/2 (*.f64 y (sqrt.f64 z))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) 50) (*.f64 1/2 x) (*.f64 1/2 (*.f64 y (sqrt.f64 z))))) |
(*.f64 1/2 x) |
Compiled 49 to 30 computations (38.8% saved)
| 1× | egg-herbie |
| 10× | fma-def_binary64 |
| 8× | *-commutative_binary64 |
| 2× | associate-*r*_binary64 |
| 2× | associate-*l*_binary64 |
| 2× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 12 |
| 1 | 23 | 10 |
| 2 | 38 | 10 |
| 3 | 48 | 10 |
| 1× | saturated |
Compiled 48 to 36 computations (25% saved)
Compiled 43 to 22 computations (48.8% saved)
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