Details

Time bar (total: 2.6s)

analyze136.0ms (5.3%)

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)

sample36.0ms (1.4%)

Algorithm
intervals
Results
12.0ms56×body1024valid
7.0ms170×body128valid
3.0ms17×body1024invalid
2.0ms16×body512valid
1.0ms13×body256valid
1.0msbody512invalid
1.0msbody2048valid
0.0msbody256invalid
0.0msbody128invalid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify95.0ms (3.7%)

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 2 expressions with local error:

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

rewrite6.0ms (0.2%)

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

2 calls:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
0.0ms
(*.f64 (exp.f64 re) (cos.f64 im))

series65.0ms (2.5%)

Counts
1 → 10
Calls

1 calls:

65.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 123 to 103 computations (16.3% saved)

simplify94.0ms (3.7%)

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04830294
14830294

prune25.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh000
Picked011
Done000
Total27229
Error
0.0b
Counts
29 → 2
Compiler

Compiled 245 to 80 computations (67.3% saved)

localize7.0ms (0.3%)

Local error

Found 6 expressions with local error:

0.3b
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
0.3b
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
0.0b
(*.f64 (exp.f64 re) (cos.f64 im))
0.0b
(*.f64 (exp.f64 re) (cos.f64 im))
0.3b
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
0.3b
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

rewrite16.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_441
cbrt-prod_binary64_450 add-cbrt-cube_binary64_455 pow1_binary64_480
*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454
add-exp-log_binary64_457
add-log-exp_binary64_458 associate-*r*_binary64_359 associate-*l*_binary64_360 pow-unpow_binary64_496
pow-prod-down_binary64_490 unpow-prod-down_binary64_498 unpow3_binary64_485 cube-mult_binary64_449 rem-cube-cbrt_binary64_442 prod-exp_binary64_468 cbrt-unprod_binary64_452 pow-exp_binary64_487 sqr-pow_binary64_391 cube-prod_binary64_447 pow-pow_binary64_491
pow1/3_binary64_501 unswap-sqr_binary64_387 rem-cbrt-cube_binary64_443 pow-to-exp_binary64_488 *-commutative_binary64_350
Counts
3 → 57
Calls

6 calls:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
2.0ms
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
0.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
0.0ms
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

series289.0ms (11.3%)

Counts
3 → 30
Calls

3 calls:

154.0ms
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
70.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
64.0ms
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
Compiler

Compiled 499 to 439 computations (12% saved)

simplify43.0ms (1.7%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05036983

prune54.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done011
Total87289
Error
0.0b
Counts
89 → 2
Compiler

Compiled 932 to 388 computations (58.4% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03983
13983

regimes73.0ms (2.9%)

Compiler

Compiled 307 to 330 computations (-7.5% saved)

bsearch0.0ms (0%)

regimes111.0ms (4.3%)

Compiler

Compiled 123 to 165 computations (-34.1% saved)

bsearch1.0ms (0%)

Compiler

Compiled 2 to 3 computations (-50% saved)

regimes107.0ms (4.2%)

Compiler

Compiled 75 to 125 computations (-66.7% saved)

bsearch0.0ms (0%)

Compiler

Compiled 2 to 3 computations (-50% saved)

regimes91.0ms (3.6%)

Compiler

Compiled 40 to 80 computations (-100% saved)

bsearch23.0ms (0.9%)

Steps
ItersRangePoint
12
9.434857144439931e-60
0.999999391096518
0.9880301012453675
Compiler

Compiled 2 to 3 computations (-50% saved)

regimes26.0ms (1%)

Compiler

Compiled 23 to 50 computations (-117.4% saved)

bsearch0.0ms (0%)

regimes31.0ms (1.2%)

Accuracy

Total 0.0b remaining (25.9%)

Threshold costs 0.0b (25.9%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch20.0ms (0.8%)

Steps
ItersRangePoint
7
-16384.834535874594
-135.9106945419607
-328.042577655251
Compiler

Compiled 56 to 51 computations (8.9% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03483
13483

end0.0ms (0%)

sample1.2s (46.8%)

Algorithm
intervals
Results
286.0ms1336×body1024valid
218.0ms5680×body128valid
97.0ms638×body1024invalid
85.0ms672×body512valid
36.0ms303×body512invalid
23.0ms308×body256valid
11.0ms153×body256invalid
8.0ms175×body128invalid
2.0msbody2048valid
Compiler

Compiled 118 to 117 computations (0.8% saved)

Pareto

0.32281215241936106

Profiling

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