Details

Time bar (total: 2.6s)

analyze358.0ms (14%)

Algorithm
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
31.2%68.6%0.1%7
37.4%62.4%0.1%8
40.6%57.7%1.7%9
54.6%41.3%4%10
59.3%36.7%4%11
61.6%32.6%5.8%12
68.3%22.7%9%13
71%20%9%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample877.0ms (34.3%)

Symmetry

(sort x y)

Results
763.0ms8256×body128valid
78.0ms800×body128invalid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify7.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2137
3167
4177
Stop Event
saturated
Counts
1 → 2

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
5.7b
(*.f64 x (/.f64 y z))
7.8b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 45 to 27 computations (40% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.4b
(*.f64 x (/.f64 y z))

series11.0ms (0.4%)

Counts
1 → 36
Calls

1 calls:

11.0ms
(*.f64 x (/.f64 y z))

rewrite36.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
628×log1p-expm1-u_binary64
628×expm1-log1p-u_binary64
349×log-prod_binary64
119×expm1-udef_binary64
119×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
216867
Stop Event
node limit
Counts
1 → 27
Calls

1 calls:

36.0ms
(*.f64 x (/.f64 y z))

simplify14.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
saturated
Counts
63 → 29

prune19.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New25429
Fresh011
Picked011
Done000
Total25631
Error
0.0b
Counts
31 → 6
Alt Table
StatusErrorProgram
6.2b
(*.f64 y (/.f64 x z))
5.7b
(*.f64 x (/.f64 y z))
7.8b
(/.f64 (*.f64 x y) z)
29.0b
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) 2)
32.9b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
5.6b
(/.f64 x (/.f64 z y))
Compiler

Compiled 352 to 157 computations (55.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.4b
(/.f64 x (/.f64 z y))

series11.0ms (0.4%)

Counts
1 → 36
Calls

1 calls:

11.0ms
(/.f64 x (/.f64 z y))

rewrite38.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
724×log1p-expm1-u_binary64
724×expm1-log1p-u_binary64
125×expm1-udef_binary64
125×log1p-udef_binary64
69×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11317
219327
Stop Event
node limit
Counts
1 → 43
Calls

1 calls:

37.0ms
(/.f64 x (/.f64 z y))

simplify13.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
saturated
Counts
79 → 44

prune23.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New42244
Fresh134
Picked011
Done011
Total43750
Error
0.0b
Counts
50 → 7
Alt Table
StatusErrorProgram
6.2b
(*.f64 y (/.f64 x z))
33.0b
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))
5.9b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
5.7b
(*.f64 x (/.f64 y z))
7.8b
(/.f64 (*.f64 x y) z)
29.0b
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) 2)
5.6b
(/.f64 x (/.f64 z y))
Compiler

Compiled 543 to 244 computations (55.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (cbrt.f64 x) (/.f64 1 y))
0.5b
(pow.f64 (cbrt.f64 x) 2)
0.6b
(cbrt.f64 x)
5.0b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))

series156.0ms (6.1%)

Counts
4 → 48
Calls

4 calls:

61.0ms
(/.f64 (cbrt.f64 x) (/.f64 1 y))
60.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
24.0ms
(pow.f64 (cbrt.f64 x) 2)
10.0ms
(cbrt.f64 x)

rewrite66.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
617×log-prod_binary64
209×expm1-udef_binary64
209×log1p-udef_binary64
200×log-div_binary64
191×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01228
125722
2338622
Stop Event
node limit
Counts
4 → 149
Calls

4 calls:

64.0ms
(/.f64 (cbrt.f64 x) (/.f64 1 y))
64.0ms
(pow.f64 (cbrt.f64 x) 2)
64.0ms
(cbrt.f64 x)
64.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))

simplify75.0ms (2.9%)

Algorithm
egg-herbie
Rules
728×sqr-pow_binary64
441×associate-*l*_binary64
362×unswap-sqr_binary64
313×pow-sqr_binary64
256×cube-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09324
119324
232324
355324
4115324
5318324
61162324
71851324
81941324
92077324
102238324
112471324
122796324
133220324
143723324
154323324
Stop Event
node limit
Counts
197 → 152

prune101.0ms (4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1812183
Fresh224
Picked011
Done112
Total1846190
Error
0b
Counts
190 → 6
Alt Table
StatusErrorProgram
6.2b
(*.f64 y (/.f64 x z))
5.9b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
21.4b
(/.f64 (/.f64 (/.f64 x z) (pow.f64 y -1/2)) (pow.f64 y -1/2))
7.8b
(/.f64 (*.f64 x y) z)
6.0b
(/.f64 1 (/.f64 (/.f64 z y) x))
5.6b
(/.f64 x (/.f64 z y))
Compiler

Compiled 2864 to 1515 computations (47.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.6b
(/.f64 1 (/.f64 (/.f64 z y) x))
5.4b
(/.f64 (/.f64 z y) x)

series29.0ms (1.1%)

Counts
2 → 72
Calls

2 calls:

18.0ms
(/.f64 (/.f64 z y) x)
11.0ms
(/.f64 1 (/.f64 (/.f64 z y) x))

rewrite51.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
878×log1p-expm1-u_binary64
878×expm1-log1p-u_binary64
87×egg-rr
87×add-sqr-sqrt_binary64
80×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
117214
2243414
Stop Event
node limit
Counts
2 → 87
Calls

2 calls:

49.0ms
(/.f64 1 (/.f64 (/.f64 z y) x))
49.0ms
(/.f64 (/.f64 z y) x)

simplify19.0ms (0.7%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r*_binary64
associate-/l*_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07504
112504
216504
319504
420504
Stop Event
saturated
Counts
159 → 91

prune55.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh123
Picked011
Done112
Total92597
Error
0b
Counts
97 → 5
Alt Table
StatusErrorProgram
6.2b
(*.f64 y (/.f64 x z))
7.8b
(/.f64 (*.f64 x y) z)
6.0b
(/.f64 1 (/.f64 (/.f64 z y) x))
7.3b
(/.f64 1 (*.f64 z (*.f64 (pow.f64 y -1) (pow.f64 x -1))))
5.6b
(/.f64 x (/.f64 z y))
Compiler

Compiled 1037 to 447 computations (56.9% saved)

regimes361.0ms (14.1%)

Accuracy

Total 0.7b remaining (97.5%)

Threshold costs 0.7b (97.5%)

Counts
28 → 5
Compiler

Compiled 1634 to 1141 computations (30.2% saved)

bsearch1.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
unpow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02571
13171
Stop Event
saturated

end208.0ms (8.1%)

Compiler

Compiled 256 to 117 computations (54.3% saved)

Profiling

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