Details

Time bar (total: 2.3s)

analyze131.0ms (5.7%)

Algorithm
1×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)

sample35.0ms (1.5%)

Algorithm
1×intervals
Results
11.0ms52×body1024valid
7.0ms185×body128valid
3.0ms23×body1024invalid
2.0ms15×body512valid
1.0ms11×body512invalid
1.0ms11×body256invalid
0.0ms9×body128invalid
0.0ms4×body256valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify92.0ms (4%)

Algorithm
1×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))

rewrite7.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
5×add-sqr-sqrt_binary64_441
3×*-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
2×add-exp-log_binary64_457
1×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:

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

series37.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

37.0ms
(*.f64 (exp.f64 re) (cos.f64 im))

simplify89.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
04923219
14923219

prune16.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19221
Fresh000
Picked011
Done000
Total19322
Error
0b
Counts
22 → 3
Compiler

Compiled 212 to 67 computations (68.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite27.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_441
13×*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454 sqrt-prod_binary64_435 pow1_binary64_480
11×add-cbrt-cube_binary64_455 add-exp-log_binary64_457
9×associate-*l*_binary64_360
8×sqrt-pow1_binary64_437
7×associate-*r*_binary64_359
6×exp-prod_binary64_471
4×pow-prod-down_binary64_490 add-log-exp_binary64_458 prod-exp_binary64_468 cbrt-unprod_binary64_452
2×pow1/2_binary64_499 unswap-sqr_binary64_387 *-commutative_binary64_350 rem-sqrt-square_binary64_432
Counts
4 → 75
Calls

4 calls:

11.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
7.0ms
(*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re)))
2.0ms
(sqrt.f64 (exp.f64 re))
2.0ms
(sqrt.f64 (exp.f64 re))

series101.0ms (4.4%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re)))
33.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
16.0ms
(sqrt.f64 (exp.f64 re))
13.0ms
(sqrt.f64 (exp.f64 re))

simplify84.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04861844
14861844

prune52.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh011
Picked011
Done011
Total87390
Error
0b
Counts
90 → 3
Compiler

Compiled 1137 to 267 computations (76.5% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im)))
0.3b
(cbrt.f64 (cos.f64 im))
0.3b
(cbrt.f64 (cos.f64 im))
0.3b
(cbrt.f64 (cos.f64 im))

rewrite16.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod_binary64_450
23×add-sqr-sqrt_binary64_441
15×*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454
11×pow1_binary64_480
9×pow1/3_binary64_501
6×associate-*r*_binary64_359 swap-sqr_binary64_386 associate-*l*_binary64_360 add-exp-log_binary64_457
4×add-log-exp_binary64_458 unswap-sqr_binary64_387 add-cbrt-cube_binary64_455
2×pow-prod-down_binary64_490 pow-sqr_binary64_392 pow-prod-up_binary64_489
1×prod-exp_binary64_468 cbrt-unprod_binary64_452 pow-plus_binary64_482 *-commutative_binary64_350 pow2_binary64_500
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im)))
2.0ms
(cbrt.f64 (cos.f64 im))
1.0ms
(cbrt.f64 (cos.f64 im))
1.0ms
(cbrt.f64 (cos.f64 im))

series319.0ms (13.7%)

Counts
4 → 12
Calls

4 calls:

107.0ms
(*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im)))
80.0ms
(cbrt.f64 (cos.f64 im))
68.0ms
(cbrt.f64 (cos.f64 im))
65.0ms
(cbrt.f64 (cos.f64 im))

simplify67.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04876772
14876772

prune61.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done022
Total85388
Error
0b
Counts
88 → 3
Compiler

Compiled 1429 to 373 computations (73.9% saved)

regimes59.0ms (2.5%)

Accuracy

Total 0.0b remaining (60.6%)

Threshold costs 0.0b (60.6%)

Compiler

Compiled 327 to 245 computations (25.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
178

end0.0ms (0%)

sample1.1s (47.5%)

Algorithm
1×intervals
Results
302.0ms1381×body1024valid
235.0ms5618×body128valid
97.0ms614×body1024invalid
77.0ms656×body512valid
33.0ms313×body512invalid
27.0ms342×body256valid
12.0ms159×body256invalid
9.0ms198×body128invalid
1.0ms3×body2048valid
Compiler

Compiled 72 to 56 computations (22.2% saved)

Profiling

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