Details

Time bar (total: 2.2s)

analyze30.0ms (1.4%)

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 21 to 16 computations (23.8% saved)

sample1.1s (51.3%)

Results
1.0s8256×body128valid
0.0msbody128invalid
Compiler

Compiled 62 to 47 computations (24.2% saved)

simplify74.0ms (3.4%)

Algorithm
egg-herbie
Rules
750×div-sub_binary64
748×fma-neg_binary64
599×fma-def_binary64
502×associate-/l*_binary64
423×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01529
13729
28227
320127
452627
599125
6161425
7327325
8365325
9469425
10494225

prune3.0ms (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 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
Compiler

Compiled 77 to 58 computations (24.7% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.1b
(*.f64 3 (*.f64 v v))

series30.0ms (1.4%)

Counts
4 → 48
Calls

4 calls:

13.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
9.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
5.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
3.0ms
(*.f64 3 (*.f64 v v))

rewrite40.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt_binary64
26×associate-*l*_binary64
25×*-un-lft-identity_binary64
24×add-cube-cbrt_binary64
23×add-cbrt-cube_binary64
Counts
4 → 143
Calls

4 calls:

11.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
10.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
4.0ms
(*.f64 3 (*.f64 v v))
2.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

simplify126.0ms (5.8%)

Algorithm
egg-herbie
Rules
674×cancel-sign-sub-inv_binary64
427×times-frac_binary64
389×associate-*l*_binary64
374×associate-*r*_binary64
274×fma-neg_binary64
Counts
191 → 252
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03415429
19675084
234345016
354135016

prune225.0ms (10.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2511252
Fresh000
Picked011
Done000
Total2512253
Error
0b
Counts
253 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b
(log.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))))
Compiler

Compiled 7969 to 5965 computations (25.1% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(log.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))))
0.1b
(*.f64 3 (*.f64 v v))

series14.0ms (0.6%)

Counts
1 → 12
Calls

1 calls:

14.0ms
(log.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))))

rewrite6.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
13×log-prod_binary64
10×exp-sum_binary64
prod-diff_binary64
distribute-lft-in_binary64
distribute-rgt-in_binary64
Counts
1 → 26
Calls

1 calls:

2.0ms
(log.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))))

simplify74.0ms (3.4%)

Algorithm
egg-herbie
Rules
758×fma-neg_binary64
571×associate-*l*_binary64
520×associate-*r*_binary64
437×fma-def_binary64
357×cancel-sign-sub-inv_binary64
Counts
38 → 59
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01371857
13241707
212141349
345811349
450371349

prune295.0ms (13.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2690269
Fresh000
Picked011
Done011
Total2692271
Error
0b
Counts
271 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b
(log.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))))
Compiler

Compiled 9243 to 7063 computations (23.6% saved)

regimes59.0ms (2.7%)

Accuracy

Total 0.0b remaining (31.9%)

Threshold costs 0.0b (31.9%)

Counts
22 → 1
Compiler

Compiled 1168 to 942 computations (19.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
distribute-rgt-neg-in_binary64
cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01529
13129
24229
34829
45129
54929

end57.0ms (2.6%)

Compiler

Compiled 82 to 62 computations (24.4% saved)

Profiling

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