Details

Time bar (total: 3.3s)

analyze12.0ms (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)

sample184.0ms (5.6%)

Algorithm
intervals
Results
33.0ms256×body128valid
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify134.0ms (4.1%)

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 (0.3%)

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
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)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series67.0ms (2%)

Counts
4 → 48
Calls

4 calls:

45.0ms
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
12.0ms
(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))
6.0ms
(*.f64 (PI.f64) (fma.f64 v v -1))
4.0ms
(fma.f64 v (*.f64 v -6) 2)

rewrite40.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
66×times-frac_binary64
40×add-sqr-sqrt_binary64
38×*-un-lft-identity_binary64
38×add-cube-cbrt_binary64
24×sqrt-prod_binary64
Counts
4 → 129
Calls

4 calls:

11.0ms
(/.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))
1.0ms
(fma.f64 v (*.f64 v -6) 2)

simplify340.0ms (10.3%)

Algorithm
egg-herbie
Rules
798×fma-def_binary64
281×associate-/r*_binary64
264×cancel-sign-sub-inv_binary64
193×fma-neg_binary64
160×associate-*r*_binary64
Counts
177 → 201
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03555372
19164973
232654948
349074948
449984948
549984948
649154948

prune307.0ms (9.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New2001201
Fresh101
Picked101
Done000
Total2021203
Error
0b
Counts
203 → 1
Alt Table
StatusErrorProgram
0b
(/.f64 (log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 5831 to 4319 computations (25.9% saved)

localize27.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
1.0b
(expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))))
1.0b
(log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))))
1.0b
(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))

series92.0ms (2.8%)

Counts
3 → 36
Calls

3 calls:

45.0ms
(/.f64 (log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
33.0ms
(expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))))
13.0ms
(log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))))

rewrite14.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
18×times-frac_binary64
18×*-un-lft-identity_binary64
18×add-sqr-sqrt_binary64
18×add-cube-cbrt_binary64
12×sqrt-prod_binary64
Counts
3 → 63
Calls

3 calls:

5.0ms
(/.f64 (log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
1.0ms
(expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))))
1.0ms
(log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))))

simplify208.0ms (6.3%)

Algorithm
egg-herbie
Rules
417×fma-neg_binary64
271×cancel-sign-sub-inv_binary64
234×fma-def_binary64
199×sub-neg_binary64
184×associate-/r*_binary64
Counts
99 → 145
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03284201
19164021
231723907
347573901
449253901

prune309.0ms (9.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1880188
Fresh000
Picked011
Done000
Total1881189
Error
0b
Counts
189 → 1
Alt Table
StatusErrorProgram
0b
(/.f64 (log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 6367 to 4820 computations (24.3% saved)

regimes134.0ms (4.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
19 → 1
Compiler

Compiled 1508 to 1178 computations (21.9% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01628
11828
21828

end1.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.4s (42.1%)

Algorithm
intervals
Results
1.0s8000×body128valid
0.0msbody128nan
Compiler

Compiled 61 to 48 computations (21.3% saved)

Profiling

Loading profile data...