Details

Time bar (total: 2.0s)

analyze140.0ms (7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
74.9%18.7%6.3%6
74.9%18.7%6.3%7
74.9%15.6%9.5%8
74.9%15.6%9.5%9
74.9%14%11%10
74.9%14%11%11
74.9%13.3%11.8%12
74.9%13.3%11.8%13
74.9%12.9%12.2%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample32.0ms (1.6%)

Algorithm
intervals
Results
9.0ms44×body1024valid
7.0ms173×body128valid
3.0ms22×body1024invalid
3.0ms24×body512valid
1.0ms15×body256valid
1.0msbody512invalid
0.0msbody256invalid
0.0msbody128invalid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify87.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
078
178

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (exp.f64 re) (cos.f64 im))

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_441
*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454 associate-*r*_binary64_359 associate-*l*_binary64_360 add-cbrt-cube_binary64_455 pow1_binary64_480
add-exp-log_binary64_457
pow-prod-down_binary64_490 add-log-exp_binary64_458 unswap-sqr_binary64_387 prod-exp_binary64_468 cbrt-unprod_binary64_452 *-commutative_binary64_350
Counts
1 → 18
Calls

1 calls:

9.0ms
(*.f64 (exp.f64 re) (cos.f64 im))

series36.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

36.0ms
(*.f64 (exp.f64 re) (cos.f64 im))

simplify89.0ms (4.4%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04923219
14923219

prune15.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New19221
Fresh000
Picked101
Done000
Total20222
Error
0b
Counts
22 → 2
Compiler

Compiled 204 to 65 computations (68.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re)))
0.0b
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))

rewrite19.0ms (1%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_441
associate-*l*_binary64_360 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 pow1_binary64_480
*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454 associate-*r*_binary64_359 sqrt-prod_binary64_435
pow-prod-down_binary64_490 prod-exp_binary64_468 cbrt-unprod_binary64_452
add-log-exp_binary64_458 unswap-sqr_binary64_387 *-commutative_binary64_350
Counts
2 → 43
Calls

2 calls:

10.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
6.0ms
(*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re)))

series77.0ms (3.9%)

Counts
2 → 6
Calls

2 calls:

39.0ms
(*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re)))
38.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))

simplify74.0ms (3.7%)

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05031584

prune27.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New49049
Fresh011
Picked011
Done000
Total49251
Error
0b
Counts
51 → 2
Compiler

Compiled 617 to 138 computations (77.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 re (log.f64 (cos.f64 im)))
0.0b
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
2.1b
(log.f64 (cos.f64 im))

rewrite12.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64_419
add-log-exp_binary64_458 add-cube-cbrt_binary64_454 log-prod_binary64_505 add-sqr-sqrt_binary64_441 pow1_binary64_480
exp-prod_binary64_471
distribute-lft-out_binary64_370 add-exp-log_binary64_457
associate-+r+_binary64_351 log-pow_binary64_508 add-cbrt-cube_binary64_455
sum-log_binary64_510 rem-exp-log_binary64_459
flip3-+_binary64_422 rem-log-exp_binary64_460 flip-+_binary64_393 exp-sum_binary64_465 +-commutative_binary64_349
Counts
3 → 43
Calls

3 calls:

5.0ms
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
4.0ms
(+.f64 re (log.f64 (cos.f64 im)))
1.0ms
(log.f64 (cos.f64 im))

series123.0ms (6.2%)

Counts
3 → 9
Calls

3 calls:

50.0ms
(log.f64 (cos.f64 im))
37.0ms
(+.f64 re (log.f64 (cos.f64 im)))
36.0ms
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))

simplify90.0ms (4.5%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04944508
14944508

prune30.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done011
Total52254
Error
0b
Counts
54 → 2
Compiler

Compiled 508 to 157 computations (69.1% saved)

regimes47.0ms (2.4%)

Accuracy

Total 0.0b remaining (51.8%)

Threshold costs 0.0b (51.8%)

Compiler

Compiled 192 to 155 computations (19.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
178

end0.0ms (0%)

sample1.1s (53.4%)

Algorithm
intervals
Results
292.0ms1366×body1024valid
226.0ms5641×body128valid
104.0ms645×body1024invalid
79.0ms667×body512valid
34.0ms318×body512invalid
25.0ms321×body256valid
13.0ms163×body256invalid
8.0ms186×body128invalid
2.0msbody2048valid
Compiler

Compiled 45 to 38 computations (15.6% saved)

Profiling

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