Details

Time bar (total: 2.8s)

analyze46.0ms (1.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
62.4%31.2%6.3%6
68.7%18.7%12.6%7
68.7%15.6%15.7%8
71.8%9.4%18.8%9
71.8%7.8%20.4%10
73.4%4.7%22%11
73.4%3.9%22.7%12
74.1%2.3%23.5%13
74.1%2%23.9%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample817.0ms (29.1%)

Results
716.0ms8256×body128valid
13.0ms121×body128invalid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify68.0ms (2.4%)

Algorithm
egg-herbie
Rules
664×unswap-sqr_binary64
640×fma-def_binary64
463×associate-/l*_binary64
362×exp-prod_binary64
312×associate-*l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1129
2239
3419
4859
51939
64349
710809
829269
933229
1041459
1149319
1251479

prune2.0ms (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
(exp.f64 (*.f64 (*.f64 x y) y))
Compiler

Compiled 30 to 17 computations (43.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (*.f64 (*.f64 x y) y))
0.1b
(*.f64 (*.f64 x y) y)

series18.0ms (0.7%)

Counts
2 → 48
Calls

2 calls:

10.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
8.0ms
(*.f64 (*.f64 x y) y)

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
add-log-exp_binary64
associate-*r*_binary64
Counts
2 → 32
Calls

2 calls:

4.0ms
(*.f64 (*.f64 x y) y)
1.0ms
(exp.f64 (*.f64 (*.f64 x y) y))

simplify50.0ms (1.8%)

Algorithm
egg-herbie
Rules
757×fma-def_binary64
721×distribute-rgt-in_binary64
707×distribute-lft-in_binary64
508×unswap-sqr_binary64
212×*-commutative_binary64
Counts
80 → 58
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068805
1160739
2473731
3929715
42071706
55240706

prune26.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh000
Picked011
Done000
Total57259
Error
0.0b
Counts
59 → 2
Alt Table
StatusErrorProgram
0.0b
(exp.f64 (*.f64 (*.f64 x y) y))
0.0b
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))
Compiler

Compiled 665 to 237 computations (64.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y)))
0.0b
(exp.f64 (*.f64 (*.f64 x y) y))
0.0b
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))
0.1b
(*.f64 (*.f64 x y) y)

series17.0ms (0.6%)

Counts
2 → 48
Calls

2 calls:

11.0ms
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y)))
6.0ms
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))

rewrite16.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
35×sqrt-pow1_binary64
28×add-sqr-sqrt_binary64
21×sqrt-prod_binary64
18×pow1_binary64
15×add-log-exp_binary64
Counts
2 → 82
Calls

2 calls:

8.0ms
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))
1.0ms
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y)))

simplify140.0ms (5%)

Algorithm
egg-herbie
Rules
593×unswap-sqr_binary64
394×exp-prod_binary64
319×associate-*l*_binary64
294×fma-def_binary64
287×associate-+l+_binary64
Counts
130 → 107
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0891710
11811582
25051522
317271433
438371425
542581415
647771415
750001415
848871415

prune156.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2541255
Fresh000
Picked101
Done011
Total2552257
Error
0b
Counts
257 → 2
Alt Table
StatusErrorProgram
0.0b
(exp.f64 (*.f64 (*.f64 x y) y))
0.0b
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))))
Compiler

Compiled 5050 to 1083 computations (78.6% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))
0.0b
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))))
0.0b
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))
0.1b
(*.f64 (*.f64 x y) y)

series680.0ms (24.2%)

Counts
3 → 72
Calls

3 calls:

667.0ms
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))
7.0ms
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))))
6.0ms
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))

rewrite44.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
42×pow1_binary64
30×add-sqr-sqrt_binary64
27×pow1/3_binary64
21×pow-prod-up_binary64
20×cbrt-prod_binary64
Counts
3 → 115
Calls

3 calls:

16.0ms
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))))
7.0ms
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))
5.0ms
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))

simplify155.0ms (5.5%)

Algorithm
egg-herbie
Rules
933×fma-def_binary64
561×associate-+l+_binary64
455×associate-+r+_binary64
364×exp-prod_binary64
319×*-commutative_binary64
Counts
187 → 157
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01363132
12442996
26822722
316252620
436272166
544292158
649242158
749092158

prune439.0ms (15.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2810281
Fresh000
Picked011
Done011
Total2812283
Error
0b
Counts
283 → 2
Alt Table
StatusErrorProgram
0.0b
(exp.f64 (*.f64 (*.f64 x y) y))
0.0b
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 x y) y))))))
Compiler

Compiled 9976 to 1495 computations (85% saved)

regimes71.0ms (2.5%)

Accuracy

Total 0.0b remaining (4.2%)

Threshold costs 0.0b (4.2%)

Counts
17 → 1
Compiler

Compiled 1602 to 746 computations (53.4% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
189
289

end38.0ms (1.4%)

Compiler

Compiled 58 to 26 computations (55.2% saved)

Profiling

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