Details

Time bar (total: 3.0s)

analyze1.0s (34.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
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
0%99.9%0.1%7
3.1%96.8%0.1%8
4.7%95.2%0.1%9
7%92.9%0.1%10
8.2%91.7%0.1%11
9.6%90.3%0.1%12
10.2%89.7%0.1%13
10.2%89.7%0.1%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample872.0ms (29.5%)

Results
845.0ms8256×body128valid
Compiler

Compiled 15 to 9 computations (40% saved)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 x (+.f64 y x))
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (+.f64 y x))

series9.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

9.0ms
(/.f64 x (+.f64 y x))

rewrite5.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
18×*-un-lft-identity_binary64
12×times-frac_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
4×associate-/r*_binary64
Counts
1 → 35
Calls

1 calls:

4.0ms
(/.f64 x (+.f64 y x))

simplify48.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
614×fma-def_binary64
547×associate-/r*_binary64
430×associate-/l/_binary64
325×associate-/r/_binary64
276×cancel-sign-sub-inv_binary64
Counts
59 → 68
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084914
1184884
2477833
31577791
44946791

prune35.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New66268
Fresh000
Picked011
Done000
Total66369
Error
0b
Counts
69 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 x (+.f64 y x))
1.2b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (+.f64 y x) (cbrt.f64 x)))
▶0.2b
(*.f64 x (/.f64 1 (+.f64 y x)))
Compiler

Compiled 895 to 292 computations (67.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 y x))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 y x)))

series41.0ms (1.4%)

Counts
2 → 48
Calls

2 calls:

30.0ms
(/.f64 1 (+.f64 y x))
10.0ms
(*.f64 x (/.f64 1 (+.f64 y x)))

rewrite20.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
35×*-un-lft-identity_binary64
27×add-sqr-sqrt_binary64
26×times-frac_binary64
20×add-cube-cbrt_binary64
18×associate-*r*_binary64
Counts
2 → 82
Calls

2 calls:

8.0ms
(*.f64 x (/.f64 1 (+.f64 y x)))
8.0ms
(/.f64 1 (+.f64 y x))

simplify147.0ms (5%)

Algorithm
1×egg-herbie
Rules
661×cancel-sign-sub-inv_binary64
454×fma-neg_binary64
274×sub-neg_binary64
252×times-frac_binary64
213×associate-/l*_binary64
Counts
130 → 141
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01171797
12681704
27611617
324391593
442701593
548891569
649801569
749391569

prune99.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh011
Picked011
Done011
Total1413144
Error
0b
Counts
144 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 x (+.f64 y x))
▶1.2b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (+.f64 y x) (cbrt.f64 x)))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 y x)))
Compiler

Compiled 2003 to 944 computations (52.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (+.f64 y x) (cbrt.f64 x)))
✓0.2b
(/.f64 (+.f64 y x) (cbrt.f64 x))
✓0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓0.6b
(cbrt.f64 x)

series179.0ms (6.1%)

Counts
4 → 72
Calls

4 calls:

88.0ms
(/.f64 (+.f64 y x) (cbrt.f64 x))
40.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
39.0ms
(cbrt.f64 x)
12.0ms
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (+.f64 y x) (cbrt.f64 x)))

rewrite36.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
100×times-frac_binary64
98×*-un-lft-identity_binary64
68×add-sqr-sqrt_binary64
60×add-cube-cbrt_binary64
58×cbrt-prod_binary64
Counts
4 → 183
Calls

4 calls:

9.0ms
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (+.f64 y x) (cbrt.f64 x)))
5.0ms
(/.f64 (+.f64 y x) (cbrt.f64 x))
5.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms
(cbrt.f64 x)

simplify209.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
651×fma-neg_binary64
453×*-commutative_binary64
378×cancel-sign-sub-inv_binary64
278×associate-/l*_binary64
254×unswap-sqr_binary64
Counts
255 → 286
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02254474
15013709
222333513
334893386
447863386
548953386

prune109.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3220322
Fresh000
Picked011
Done022
Total3223325
Error
0b
Counts
325 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 x (+.f64 y x))
✓1.2b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (+.f64 y x) (cbrt.f64 x)))
✓0.2b
(*.f64 x (/.f64 1 (+.f64 y x)))
Compiler

Compiled 5961 to 1371 computations (77% saved)

regimes52.0ms (1.7%)

Accuracy

Total 0.0b remaining (43.1%)

Threshold costs 0.0b (43.1%)

Counts
18 → 1
Compiler

Compiled 644 to 358 computations (44.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

end42.0ms (1.4%)

Compiler

Compiled 44 to 25 computations (43.2% saved)

Profiling

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