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 21 to 16 computations (23.8% saved)

sample106.0ms (6.5%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify77.0ms (4.7%)

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 (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
Compiler

Compiled 73 to 56 computations (23.3% saved)

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

series28.0ms (1.7%)

Counts
3 → 36
Calls

3 calls:

14.0ms
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
10.0ms
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))
4.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))

rewrite20.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
18×pow1_binary64
17×add-cbrt-cube_binary64
17×add-exp-log_binary64
16×distribute-lft-in_binary64
16×distribute-rgt-in_binary64
Counts
3 → 76
Calls

3 calls:

8.0ms
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
6.0ms
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))
1.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))

simplify106.0ms (6.4%)

Algorithm
egg-herbie
Rules
766×fma-def_binary64
672×fma-neg_binary64
569×cancel-sign-sub-inv_binary64
256×associate-*r*_binary64
230×sub-neg_binary64
Counts
112 → 146
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02333324
16443084
223502985
343642978
449882978

prune126.0ms (7.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1451146
Fresh000
Picked011
Done000
Total1452147
Error
0b
Counts
147 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
0.0b
(*.f64 (sqrt.f64 2) (exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))))
Compiler

Compiled 4202 to 3456 computations (17.8% saved)

localize13.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

series24.0ms (1.5%)

Counts
2 → 24
Calls

2 calls:

14.0ms
(*.f64 (sqrt.f64 2) (exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))))
10.0ms
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))

rewrite16.0ms (1%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
10×pow1_binary64
exp-prod_binary64
associate-*l*_binary64
*-un-lft-identity_binary64
Counts
2 → 42
Calls

2 calls:

8.0ms
(*.f64 (sqrt.f64 2) (exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))))
4.0ms
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))

simplify102.0ms (6.2%)

Algorithm
egg-herbie
Rules
682×fma-neg_binary64
619×fma-def_binary64
535×cancel-sign-sub-inv_binary64
392×times-frac_binary64
193×sub-neg_binary64
Counts
66 → 103
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01582229
14442047
217601942
345631936
449931936
549641936

prune166.0ms (10.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1910191
Fresh000
Picked011
Done011
Total1912193
Error
0b
Counts
193 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))
0.0b
(*.f64 (sqrt.f64 2) (exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))))
Compiler

Compiled 5729 to 4760 computations (16.9% saved)

regimes48.0ms (2.9%)

Accuracy

Total 0.0b remaining (30.4%)

Threshold costs 0.0b (30.4%)

Counts
19 → 1
Compiler

Compiled 859 to 723 computations (15.8% saved)

simplify3.0ms (0.2%)

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

end1.0ms (0%)

Compiler

Compiled 20 to 15 computations (25% saved)

sample782.0ms (47.8%)

Algorithm
intervals
Results
548.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 80 to 62 computations (22.5% saved)

Profiling

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