Details

Time bar (total: 9.2s)

analyze1.0s (10.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
50%50%0.1%5
50%50%0.1%6
50%37.5%12.6%7
50%37.5%12.6%8
50%31.2%18.8%9
50%31.2%18.8%10
50%28.1%22%11
50%28.1%22%12
50%26.5%23.5%13
50%26.5%23.5%14
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample184.0ms (2%)

Algorithm
intervals
Results
63.0ms74×body1024valid
41.0ms58×body1024invalid
18.0ms129×body128valid
16.0ms40×body512valid
12.0ms34×body512invalid
3.0ms12×body256valid
3.0ms13×body256invalid
3.0msbody2048valid
3.0ms19×body128invalid
Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify149.0ms (1.6%)

Algorithm
egg-herbie
Rules
575×fma-def_binary64
533×associate-/l*_binary64
430×unswap-sqr_binary64
374×times-frac_binary64
354×fma-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01118
12818
26518
39917
415417
526917
653217
791617
8333217
9326017
10400617
11426517
12469217
13484017
14489117
15491717

prune6.0ms (0.1%)

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 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
Compiler

Compiled 50 to 33 computations (34% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
0.0b
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
0.0b
(/.f64 1/2 (exp.f64 im))

rewrite89.0ms (1%)

Algorithm
rewrite-expression-head
Rules
26×add-cube-cbrt_binary64
19×pow1_binary64
16×add-sqr-sqrt_binary64
15×add-cbrt-cube_binary64
13×fma-udef_binary64
Counts
3 → 123
Calls

3 calls:

31.0ms
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
28.0ms
(/.f64 1/2 (exp.f64 im))
19.0ms
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))

series164.0ms (1.8%)

Counts
3 → 40
Calls

3 calls:

107.0ms
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
32.0ms
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
23.0ms
(/.f64 1/2 (exp.f64 im))

simplify195.0ms (2.1%)

Algorithm
egg-herbie
Rules
804×fma-def_binary64
564×fma-neg_binary64
430×cancel-sign-sub-inv_binary64
281×times-frac_binary64
187×associate-*l*_binary64
Counts
163 → 250
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01932391
15102175
219462121
346852116
448752116

prune231.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2491250
Fresh000
Picked011
Done000
Total2492251
Error
0.0b
Counts
251 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 (*.f64 1/2 (exp.f64 im)) (cos.f64 re) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))
0.0b
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
Compiler

Compiled 3082 to 1697 computations (44.9% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (*.f64 1/2 (exp.f64 im)) (cos.f64 re) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))
0.0b
(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))
0.0b
(/.f64 1/2 (exp.f64 im))

rewrite55.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
15×pow1_binary64
12×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
add-exp-log_binary64
add-cbrt-cube_binary64
Counts
2 → 76
Calls

2 calls:

29.0ms
(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))
18.0ms
(fma.f64 (*.f64 1/2 (exp.f64 im)) (cos.f64 re) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))

series213.0ms (2.3%)

Counts
2 → 48
Calls

2 calls:

135.0ms
(fma.f64 (*.f64 1/2 (exp.f64 im)) (cos.f64 re) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))
77.0ms
(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))

simplify178.0ms (1.9%)

Algorithm
egg-herbie
Rules
693×fma-def_binary64
492×fma-neg_binary64
394×cancel-sign-sub-inv_binary64
245×associate-*l/_binary64
196×associate-*r/_binary64
Counts
124 → 194
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01542162
14401912
216651861
346581859
449701859

prune224.0ms (2.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2650265
Fresh000
Picked011
Done011
Total2652267
Error
0.0b
Counts
267 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 (*.f64 1/2 (exp.f64 im)) (cos.f64 re) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))
0.0b
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
Compiler

Compiled 3824 to 1965 computations (48.6% saved)

regimes215.0ms (2.3%)

Accuracy

Total 0.0b remaining (30.7%)

Threshold costs 0.0b (30.7%)

Compiler

Compiled 1450 to 1043 computations (28.1% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
11222
21222

end1.0ms (0%)

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample6.2s (67.9%)

Algorithm
intervals
Results
2.0s2027×body1024invalid
1.8s1963×body1024valid
592.0ms4532×body128valid
418.0ms1004×body512valid
344.0ms927×body512invalid
141.0ms431×body256invalid
130.0ms499×body256valid
102.0ms742×body128invalid
5.0msbody2048valid
Compiler

Compiled 61 to 42 computations (31.1% saved)

Profiling

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