Details

Time bar (total: 5.5s)

analyze154.0ms (2.8%)

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)

sample49.0ms (0.9%)

Algorithm
intervals
Results
38.0ms256×body128valid
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify130.0ms (2.4%)

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

prune9.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 113 to 85 computations (24.8% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series95.0ms (1.7%)

Counts
4 → 48
Calls

4 calls:

66.0ms
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
11.0ms
(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))
11.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
6.0ms
(*.f64 (PI.f64) (fma.f64 v v -1))

rewrite39.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
66×times-frac_binary64
42×add-sqr-sqrt_binary64
39×*-un-lft-identity_binary64
39×add-cube-cbrt_binary64
27×sqrt-prod_binary64
Counts
4 → 134
Calls

4 calls:

12.0ms
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
5.0ms
(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))
5.0ms
(*.f64 (PI.f64) (fma.f64 v v -1))
2.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))

simplify263.0ms (4.8%)

Algorithm
egg-herbie
Rules
880×fma-def_binary64
306×associate-/r*_binary64
254×sub-neg_binary64
223×fma-neg_binary64
173×associate-*r*_binary64
Counts
182 → 227
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03865649
110285260
236165237
347985236
449555236

prune364.0ms (6.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2261227
Fresh011
Picked101
Done000
Total2272229
Error
0b
Counts
229 → 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 1 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))))
Compiler

Compiled 6659 to 4974 computations (25.3% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series76.0ms (1.4%)

Counts
2 → 24
Calls

2 calls:

46.0ms
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))))
29.0ms
(/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))))

rewrite110.0ms (2%)

Algorithm
rewrite-expression-head
Rules
444×times-frac_binary64
188×*-un-lft-identity_binary64
188×add-sqr-sqrt_binary64
188×add-cube-cbrt_binary64
108×sqrt-prod_binary64
Counts
2 → 296
Calls

2 calls:

19.0ms
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))))
11.0ms
(/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))))

simplify470.0ms (8.6%)

Algorithm
egg-herbie
Rules
338×fma-neg_binary64
267×associate-/r*_binary64
239×associate-/r/_binary64
223×associate-*r*_binary64
214×*-commutative_binary64
Counts
320 → 398
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043514003
1113112962
2448312962
3493512962

prune815.0ms (14.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New4781479
Fresh101
Picked011
Done000
Total4792481
Error
0b
Counts
481 → 2
Alt Table
StatusErrorProgram
1.0b
(/.f64 1 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 -4/3 (fma.f64 v v -1))))
0.0b
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))))
Compiler

Compiled 16454 to 12695 computations (22.8% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series136.0ms (2.5%)

Counts
3 → 36
Calls

3 calls:

93.0ms
(/.f64 1 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 -4/3 (fma.f64 v v -1))))
36.0ms
(/.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 -4/3 (fma.f64 v v -1)))
6.0ms
(/.f64 -4/3 (fma.f64 v v -1))

rewrite73.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
182×times-frac_binary64
76×*-un-lft-identity_binary64
76×add-sqr-sqrt_binary64
76×add-cube-cbrt_binary64
61×add-exp-log_binary64
Counts
3 → 187
Calls

3 calls:

17.0ms
(/.f64 1 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 -4/3 (fma.f64 v v -1))))
11.0ms
(/.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 -4/3 (fma.f64 v v -1)))
4.0ms
(/.f64 -4/3 (fma.f64 v v -1))

simplify422.0ms (7.7%)

Algorithm
egg-herbie
Rules
362×fma-neg_binary64
234×associate-/r*_binary64
215×fma-def_binary64
193×*-commutative_binary64
186×associate-/r/_binary64
Counts
223 → 298
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04248124
111487309
244717309
349907309
449387309

prune527.0ms (9.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3360336
Fresh000
Picked011
Done011
Total3362338
Error
0b
Counts
338 → 2
Alt Table
StatusErrorProgram
1.0b
(/.f64 1 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 -4/3 (fma.f64 v v -1))))
0.0b
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))))
Compiler

Compiled 10442 to 8037 computations (23% saved)

regimes312.0ms (5.7%)

Accuracy

Total 0.0b remaining (42.2%)

Threshold costs 0.0b (42.2%)

Counts
46 → 1
Compiler

Compiled 3503 to 2774 computations (20.8% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01627
12027
21927

end1.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.4s (24.9%)

Algorithm
intervals
Results
967.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 80 to 63 computations (21.3% saved)

Profiling

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