Details

Time bar (total: 1.6s)

analyze6.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 22 to 17 computations (22.7% saved)

sample148.0ms (9.1%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify118.0ms (7.3%)

Algorithm
egg-herbie
Rules
1332×fma-def_binary64
889×associate-/r*_binary64
605×neg-sub0_binary64
599×neg-mul-1_binary64
576×fma-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01731
14228
210226
326126
468426
5108824
6180124
7354124
8391424
9400224
10441624
11440924
12441524
13515924

prune5.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
StatusErrorProgram
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.0b
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 113 to 85 computations (24.8% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
1.0b
(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))

series13.0ms (0.8%)

Counts
2 → 24
Calls

2 calls:

7.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
6.0ms
(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))

rewrite5.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
2 → 38
Calls

2 calls:

3.0ms
(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))
1.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))

simplify61.0ms (3.7%)

Algorithm
egg-herbie
Rules
504×fma-neg_binary64
367×associate-/r*_binary64
286×associate-*l*_binary64
274×fma-def_binary64
252×associate-*r*_binary64
Counts
62 → 80
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01591260
14091148
211741132
340411132
449871132

prune56.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh011
Picked011
Done000
Total80282
Error
0b
Counts
82 → 2
Alt Table
StatusErrorProgram
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.0b
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 2011 to 1498 computations (25.5% saved)

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.0b
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
0.2b
(*.f64 6 (*.f64 v v))
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

series51.0ms (3.2%)

Counts
4 → 48
Calls

4 calls:

26.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
17.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
6.0ms
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
2.0ms
(*.f64 6 (*.f64 v v))

rewrite38.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube_binary64
32×add-exp-log_binary64
19×pow1_binary64
16×associate-*r/_binary64
15×cbrt-unprod_binary64
Counts
4 → 107
Calls

4 calls:

10.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
9.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
5.0ms
(*.f64 6 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))

simplify122.0ms (7.5%)

Algorithm
egg-herbie
Rules
401×associate-*l*_binary64
387×associate-*r*_binary64
378×fma-neg_binary64
290×associate-/r*_binary64
228×fma-def_binary64
Counts
155 → 237
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04205211
112024683
248754683
351284683

prune167.0ms (10.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2370237
Fresh000
Picked011
Done011
Total2372239
Error
0b
Counts
239 → 2
Alt Table
StatusErrorProgram
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
0.0b
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 8345 to 5969 computations (28.5% saved)

regimes45.0ms (2.8%)

Accuracy

Total 0.5b remaining (99.2%)

Threshold costs 0.5b (99.2%)

Counts
7 → 1
Compiler

Compiled 678 to 551 computations (18.7% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01117
11217
21217

end1.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample763.0ms (47.1%)

Algorithm
intervals
Results
532.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 73 to 57 computations (21.9% saved)

Profiling

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