Time bar (total: 2.4s)
| 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)
| 966.0ms | 8256× | body | 256 | valid |
| 166.0ms | 401× | 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 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 | @ | inf | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 1.0ms | x | @ | 0 | (/.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 | 2378 | 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 expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.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)))))))) |
| 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 x (/.f64 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 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 x (/.f64 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 1/2 (/.f64 x y))) |
(fma.f64 1/2 (/.f64 x y) 1/2) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 x (/.f64 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 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)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 35 | 3 | 38 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 36 | 3 | 39 |
| Status | Error | Program |
|---|---|---|
| ▶ | 35.6b | (/.f64 x (/.f64 y 1/2)) |
| ▶ | 0b | (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
| 27.1b | 1/2 |
Compiled 19 to 15 computations (21.1% saved)
Compiled 20 to 10 computations (50% saved)
Compiled 13 to 8 computations (38.5% saved)
Compiled 2 to 2 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 35.6b | (/.f64 x (/.f64 y 1/2)) |
| ✓ | 0b | (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
| 27.1b | 1/2 |
Compiled 19 to 15 computations (21.1% saved)
Compiled 2 to 2 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 35.6b | (/.f64 x (/.f64 y 1/2)) |
| ✓ | 0b | (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
| 27.1b | 1/2 |
Compiled 19 to 15 computations (21.1% saved)
Compiled 2 to 2 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 35.6b | (/.f64 x (/.f64 y 1/2)) |
| ✓ | 0b | (+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
| 27.1b | 1/2 |
Compiled 19 to 15 computations (21.1% saved)
| Inputs |
|---|
1/2 |
(/.f64 x (/.f64 y 1/2)) |
(+.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:
| 29.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | (/.f64 (+.f64 x y) (+.f64 y y)) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
| 0b | 1 | (/.f64 (+.f64 x y) (+.f64 y y)) |
Compiled 46 to 28 computations (39.1% saved)
Total -48.4b remaining (-366%)
Threshold costs -48.4b (-366%)
| Inputs |
|---|
1/2 |
(/.f64 x (/.f64 y 1/2)) |
| Outputs |
|---|
1/2 |
(/.f64 x (/.f64 y 1/2)) |
1/2 |
(/.f64 x (/.f64 y 1/2)) |
1/2 |
(/.f64 x (/.f64 y 1/2)) |
1/2 |
2 calls:
| 78.0ms | y |
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.9b | 5 | x |
| 13.2b | 7 | y |
Compiled 14 to 10 computations (28.6% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 326.0ms | 4.337087754046473e-98 | 1.5343605654368783e-83 |
| 40.0ms | 8.875102251313184e-142 | 1.2696042850871288e-141 |
| 207.0ms | 2.4005122577660845e-172 | 5.331546191395183e-169 |
| 62.0ms | -2.7782890278381986e-46 | -2.6407892557549065e-58 |
| 32.0ms | -1.2537291903450432e+31 | -6.2021893457084346e+28 |
| 115.0ms | -8.649177368812494e+85 | -2.2308384195280922e+79 |
Compiled 278 to 229 computations (17.6% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 72 |
| 1 | 30 | 72 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(if (<=.f64 y -86491773688124941633916333803007881140024580093426700240280969397850339539618013118464) 1/2 (if (<=.f64 y -12537291903450432286619305246720) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 y -3571630669424421/12855504354071922204335696738729300820177623950262342682411008) 1/2 (if (<=.f64 y 4264060788411857/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 y 4290498537581631/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) 1/2 (if (<=.f64 y 1733688272641357056/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 x (/.f64 y 1/2)) 1/2)))))) |
1/2 |
| Outputs |
|---|
(+.f64 1/2 (*.f64 1/2 (/.f64 x y))) |
(if (<=.f64 y -86491773688124941633916333803007881140024580093426700240280969397850339539618013118464) 1/2 (if (<=.f64 y -12537291903450432286619305246720) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 y -3571630669424421/12855504354071922204335696738729300820177623950262342682411008) 1/2 (if (<=.f64 y 4264060788411857/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 y 4290498537581631/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) 1/2 (if (<=.f64 y 1733688272641357056/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 x (/.f64 y 1/2)) 1/2)))))) |
(if (<=.f64 y -86491773688124941633916333803007881140024580093426700240280969397850339539618013118464) 1/2 (if (<=.f64 y -12537291903450432286619305246720) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 y -3571630669424421/12855504354071922204335696738729300820177623950262342682411008) 1/2 (if (<=.f64 y 4264060788411857/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 y 4290498537581631/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) 1/2 (if (<=.f64 y 6772219815005301/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (/.f64 x (/.f64 y 1/2)) 1/2)))))) |
1/2 |
Compiled 57 to 43 computations (24.6% saved)
Compiled 53 to 39 computations (26.4% saved)
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