Details

Time bar (total: 6.0s)

analyze474.0ms (7.9%)

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)

sample4.2s (70.2%)

Symmetry

(sort re im)

Results
1.4s2075×body1024valid
1.0s1943×body1024invalid
645.0ms4637×body128valid
371.0ms1012×body512valid
340.0ms1006×body512invalid
141.0ms528×body256valid
116.0ms490×body256invalid
95.0ms687×body128invalid
4.0msbody2048valid
Compiler

Compiled 41 to 32 computations (22% saved)

simplify26.0ms (0.4%)

Algorithm
egg-herbie
Rules
421×fma-neg_binary64
231×fma-def_binary64
219×rules-40_binary64
219×rules-42_binary64
218×rules-41_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
16418
219918
382618
48918

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.9b
Counts
2 → 1
Alt Table
StatusErrorProgram
13.9b
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 39 to 30 computations (23.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series2.0ms (0%)

Counts
1 → 8
Calls

1 calls:

2.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite47.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
362×prod-diff_binary64
111×expm1-udef_binary64
111×log1p-udef_binary64
Counts
1 → 46
Calls

1 calls:

44.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11386
217826
349766
000
100

simplify67.0ms (1.1%)

Algorithm
egg-herbie
Rules
1112×rules-42_binary64
960×fma-neg_binary64
842×rules-43_binary64
377×rules-40_binary64
376×rules-41_binary64
Counts
54 → 51
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
11278
23818
316598
442838
5328

prune35.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New48351
Fresh000
Picked101
Done000
Total49352
Error
12.3b
Counts
52 → 3
Alt Table
StatusErrorProgram
13.9b
(*.f64 (*.f64 1/2 (cos.f64 re)) (*.f64 2 (cosh.f64 im)))
13.0b
(*.f64 (*.f64 1/2 (cos.f64 re)) 2)
15.6b
(*.f64 (*.f64 1/2 (cos.f64 re)) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 im))) 3))
Compiler

Compiled 887 to 522 computations (41.1% saved)

localize4.0ms (0.1%)

prune3.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done000
Total033
Error
12.3b
Counts
3 → 3
Alt Table
StatusErrorProgram
13.9b
(*.f64 (*.f64 1/2 (cos.f64 re)) (*.f64 2 (cosh.f64 im)))
13.0b
(*.f64 (*.f64 1/2 (cos.f64 re)) 2)
15.6b
(*.f64 (*.f64 1/2 (cos.f64 re)) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 im))) 3))
Compiler

Compiled 58 to 49 computations (15.5% saved)

localize6.0ms (0.1%)

prune2.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Error
12.3b
Counts
3 → 3
Alt Table
StatusErrorProgram
13.9b
(*.f64 (*.f64 1/2 (cos.f64 re)) (*.f64 2 (cosh.f64 im)))
13.0b
(*.f64 (*.f64 1/2 (cos.f64 re)) 2)
15.6b
(*.f64 (*.f64 1/2 (cos.f64 re)) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 im))) 3))
Compiler

Compiled 47 to 40 computations (14.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 im))) 3)
0.8b
(cbrt.f64 (*.f64 2 (cosh.f64 im)))

series619.0ms (10.3%)

Counts
2 → 24
Calls

2 calls:

329.0ms
(pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 im))) 3)
290.0ms
(cbrt.f64 (*.f64 2 (cosh.f64 im)))

rewrite59.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
614×log1p-expm1-u_binary64
614×expm1-log1p-u_binary64
448×fma-neg_binary64
146×egg-rr
129×prod-diff_binary64
Counts
2 → 146
Calls

2 calls:

56.0ms
(pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 im))) 3)
56.0ms
(cbrt.f64 (*.f64 2 (cosh.f64 im)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116914
2185714
3495214
000
100

simplify85.0ms (1.4%)

Algorithm
egg-herbie
Rules
638×rules-21_binary64
541×fma-neg_binary64
310×fma-def_binary64
304×rules-11_binary64
278×rules-13_binary64
Counts
170 → 164
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044435
1287428
21021408
34785408
44750408
54862408

prune106.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1622164
Fresh000
Picked101
Done022
Total1634167
Error
12.3b
Counts
167 → 4
Alt Table
StatusErrorProgram
16.0b
(*.f64 (*.f64 1/2 (cos.f64 re)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 im)))) 3) 3))
15.9b
(*.f64 (*.f64 1/2 (cos.f64 re)) (pow.f64 (-.f64 (+.f64 (*.f64 1/6 (*.f64 (cbrt.f64 2) (pow.f64 im 2))) (cbrt.f64 2)) (*.f64 1/72 (*.f64 (cbrt.f64 2) (pow.f64 im 4)))) 3))
13.9b
(*.f64 (*.f64 1/2 (cos.f64 re)) (*.f64 2 (cosh.f64 im)))
13.0b
(*.f64 (*.f64 1/2 (cos.f64 re)) 2)
Compiler

Compiled 3552 to 2453 computations (30.9% saved)

regimes150.0ms (2.5%)

Accuracy

Total 1.0b remaining (99.2%)

Threshold costs 0b (0%)

Counts
25 → 1
Compiler

Compiled 2612 to 2240 computations (14.2% saved)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
179

end86.0ms (1.4%)

Remove

(sort re im)

Compiler

Compiled 97 to 85 computations (12.4% saved)

Profiling

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