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)

sample1.2s (74.9%)

Results
1.1s8256×body128valid
0.0msbody128invalid
Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify24.0ms (1.5%)

Algorithm
egg-herbie
Rules
1332×fma-def_binary64
553×distribute-rgt-in_binary64
496×unsub-neg_binary64
223×distribute-rgt-neg-out_binary64
221×distribute-lft-neg-out_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01731
14228
210926
332126
496826
5174724
6370624
Stop Event
node limit
Counts
1 → 2

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0b
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
Compiler

Compiled 71 to 53 computations (25.4% saved)

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

series31.0ms (2%)

Counts
3 → 36
Calls

3 calls:

20.0ms
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
6.0ms
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
4.0ms
(/.f64 -4/3 (fma.f64 v v -1))

rewrite60.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
251×expm1-udef_binary64
251×log1p-udef_binary64
215×log-pow_binary64
142×add-sqr-sqrt_binary64
133×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
129446
2369946
Stop Event
node limit
Counts
3 → 84
Calls

3 calls:

57.0ms
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
57.0ms
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
57.0ms
(/.f64 -4/3 (fma.f64 v v -1))

simplify44.0ms (2.8%)

Algorithm
egg-herbie
Rules
837×times-frac_binary64
814×fma-def_binary64
318×cancel-sign-sub-inv_binary64
198×fma-neg_binary64
174×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02071637
16821601
225161567
Stop Event
node limit
Counts
120 → 144

prune109.0ms (7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1440144
Fresh000
Picked011
Done000
Total1441145
Error
0b
Counts
145 → 1
Alt Table
StatusErrorProgram
0b
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))
Compiler

Compiled 4114 to 3138 computations (23.7% saved)

regimes25.0ms (1.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
4 → 1
Compiler

Compiled 340 to 262 computations (22.9% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01424
11624
Stop Event
saturated

end78.0ms (5%)

Compiler

Compiled 51 to 39 computations (23.5% saved)

Profiling

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