Time bar (total: 2.3s)
| 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 |
| 40.6% | 59.3% | 0.1% | 7 |
| 45.3% | 53.1% | 1.7% | 8 |
| 63.2% | 33.6% | 3.2% | 9 |
| 66% | 28.9% | 5.2% | 10 |
| 75.1% | 17.8% | 7.1% | 11 |
| 76.6% | 15% | 8.4% | 12 |
Compiled 10 to 6 computations (40% saved)
| 1.2s | 8256× | body | 256 | valid |
| 61.0ms | 382× | body | 256 | invalid |
| 2× | egg-herbie |
| 4× | associate-/r*_binary64 |
| 2× | *-commutative_binary64 |
| 2× | count-2_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 13 | 20 |
| 2 | 18 | 20 |
| 3 | 22 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y y)) |
(/.f64 (+.f64 y x) (+.f64 x x)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y y)) |
(/.f64 (+.f64 y x) (+.f64 x x)) |
(/.f64 (+.f64 x y) (+.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 2× | associate-/r*_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | count-2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 9 | 10 |
| 2 | 12 | 10 |
| 3 | 14 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y y)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 9 to 5 computations (44.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 9 to 5 computations (44.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 x y) (+.f64 y y)) | |
| ✓ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 17 to 5 computations (70.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 1.0ms | y | @ | inf | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 1× | batch-egg-rewrite |
| 803× | pow1_binary64 |
| 753× | add-log-exp_binary64 |
| 752× | log1p-expm1-u_binary64 |
| 752× | expm1-log1p-u_binary64 |
| 737× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 142 | 10 |
| 2 | 2374 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 x y) (+.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (+.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y y)) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 y y))) (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (*.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (+.f64 y y)) (*.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 2) (/.f64 (cbrt.f64 (+.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 2) (/.f64 (sqrt.f64 (+.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (*.f64 2 (pow.f64 y 3))) (fma.f64 y y 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 y (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 x y) 2) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.f64 y y)))))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 4× | fma-def_binary64 |
| 2× | +-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 204 |
| 1 | 11 | 168 |
| 2 | 20 | 168 |
| 3 | 28 | 168 |
| 4 | 32 | 168 |
| 5 | 33 | 168 |
| 1× | saturated |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
1/2 |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
1/2 |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
1/2 |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
1/2 |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
Compiled 401 to 119 computations (70.3% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 35 | 3 | 38 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 35 | 4 | 39 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y y)) |
| ▶ | 34.9b | (/.f64 (*.f64 1/2 x) y) |
| ▶ | 0.0b | (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
| 28.0b | 1/2 |
Compiled 28 to 20 computations (28.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 1/2 (/.f64 x y)) | |
| 0.0b | (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) | |
| ✓ | 0.0b | (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
| ✓ | 0.0b | (*.f64 1/2 (/.f64 x y)) |
Compiled 20 to 10 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 1/2 (/.f64 x y)) |
| 1.0ms | x | @ | inf | (*.f64 1/2 (/.f64 x y)) |
| 1.0ms | y | @ | inf | (*.f64 1/2 (/.f64 x y)) |
| 1.0ms | y | @ | 0 | (*.f64 1/2 (/.f64 x y)) |
| 0.0ms | x | @ | -inf | (*.f64 1/2 (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 890× | pow1_binary64 |
| 830× | add-log-exp_binary64 |
| 830× | log1p-expm1-u_binary64 |
| 830× | expm1-log1p-u_binary64 |
| 815× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 158 | 15 |
| 2 | 2157 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 (/.f64 x y) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 -1/2 (/.f64 x y)))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4) (+.f64 1/2 (*.f64 -1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (/.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4) (*.f64 1/4 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x y) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4) (*.f64 1/4 (/.f64 x y)))) (+.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/2 (/.f64 x y))) (-.f64 1/4 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4) (*.f64 1/4 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8)) (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4) (-.f64 1/4 (*.f64 1/4 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (+.f64 1/2 (*.f64 -1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4) (*.f64 1/4 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))) (neg.f64 (+.f64 1/2 (*.f64 -1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4) 1/4) (-.f64 (*.f64 1/2 (/.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (/.f64 x y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x y) 1/2))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 24 |
| 1 | 9 | 24 |
| 2 | 13 | 24 |
| 3 | 17 | 24 |
| 4 | 18 | 24 |
| 1× | saturated |
| Inputs |
|---|
1/2 |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
1/2 |
1/2 |
| Outputs |
|---|
1/2 |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 (/.f64 1/2 y) x) |
1/2 |
1/2 |
Compiled 13 to 8 computations (38.5% saved)
Compiled 668 to 441 computations (34% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 55 | 1 | 56 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 56 | 4 | 60 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y y)) |
| ✓ | 34.9b | (/.f64 (*.f64 1/2 x) y) |
| ✓ | 0.0b | (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
| 28.0b | 1/2 |
Compiled 28 to 20 computations (28.6% saved)
Compiled 2 to 2 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y y)) |
| ✓ | 34.9b | (/.f64 (*.f64 1/2 x) y) |
| ✓ | 0.0b | (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
| 28.0b | 1/2 |
Compiled 28 to 20 computations (28.6% saved)
Compiled 2 to 2 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y y)) |
| ✓ | 34.9b | (/.f64 (*.f64 1/2 x) y) |
| ✓ | 0.0b | (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
| 28.0b | 1/2 |
Compiled 28 to 20 computations (28.6% saved)
| Inputs |
|---|
1/2 |
(/.f64 (*.f64 1/2 x) y) |
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(/.f64 (+.f64 x y) (+.f64 y y)) |
| Outputs |
|---|
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
4 calls:
| 27.0ms | y |
| 4.0ms | x |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 0.0b | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 46 to 28 computations (39.1% saved)
Total -47.9b remaining (-344.9%)
Threshold costs -47.9b (-344.9%)
| Inputs |
|---|
1/2 |
(/.f64 (*.f64 1/2 x) y) |
| Outputs |
|---|
(/.f64 (*.f64 1/2 x) y) |
1/2 |
(/.f64 (*.f64 1/2 x) y) |
1/2 |
(/.f64 (*.f64 1/2 x) y) |
2 calls:
| 132.0ms | y |
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.9b | 5 | x |
| 14.9b | 5 | y |
Compiled 14 to 10 computations (28.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.0339769433539062e+22 | 9.31727341125982e+27 |
| 16.0ms | -4.67035431253082e-21 | -2.6039898596464568e-36 |
| 45.0ms | -3.6663046263187295e+27 | -1.2929455695301371e+26 |
| 41.0ms | -2.9216283739660717e+169 | -4.8481223571365246e+153 |
Compiled 134 to 109 computations (18.7% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 58 |
| 1 | 25 | 58 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(if (<=.f64 x -29000000000000000595918337071783218478916243440075762942120183207997077077456276478975836184069590618307952989685649814671615453556034106083957323896689994863646353653760) (/.f64 (*.f64 1/2 x) y) (if (<=.f64 x -3666304626318729509035048960) 1/2 (if (<=.f64 x -1589239219827399680/340282366920938463463374607431768211456) (/.f64 (*.f64 1/2 x) y) (if (<=.f64 x 20339769433539062267904) 1/2 (/.f64 (*.f64 1/2 x) y))))) |
1/2 |
| Outputs |
|---|
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(if (<=.f64 x -29000000000000000595918337071783218478916243440075762942120183207997077077456276478975836184069590618307952989685649814671615453556034106083957323896689994863646353653760) (/.f64 (*.f64 1/2 x) y) (if (<=.f64 x -3666304626318729509035048960) 1/2 (if (<=.f64 x -1589239219827399680/340282366920938463463374607431768211456) (/.f64 (*.f64 1/2 x) y) (if (<=.f64 x 20339769433539062267904) 1/2 (/.f64 (*.f64 1/2 x) y))))) |
(if (<=.f64 x -29000000000000000595918337071783218478916243440075762942120183207997077077456276478975836184069590618307952989685649814671615453556034106083957323896689994863646353653760) (/.f64 (*.f64 1/2 x) y) (if (<=.f64 x -3666304626318729509035048960) 1/2 (if (<=.f64 x -1551991425612695/332306998946228968225951765070086144) (/.f64 (*.f64 1/2 x) y) (if (<=.f64 x 20339769433539062267904) 1/2 (/.f64 (*.f64 1/2 x) y))))) |
1/2 |
| 1× | fuel |
Compiled 90 to 66 computations (26.7% saved)
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