Details

Time bar (total: 3.7s)

analyze134.0ms (3.6%)

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
81.2%18.7%0.1%5
81.2%15.6%3.2%6
81.2%15.6%3.2%7
81.2%14%4.8%8
81.2%14%4.8%9
81.2%13.3%5.6%10
81.2%13.3%5.6%11
81.2%12.9%6%12
81.2%12.9%6%13
81.2%12.7%6.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample35.0ms (1%)

Algorithm
intervals
Results
9.0ms42×body1024valid
8.0ms185×body128valid
4.0ms25×body1024invalid
2.0ms19×body512valid
2.0ms14×body512invalid
1.0ms34×body128invalid
1.0ms10×body256valid
0.0msbody256invalid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify93.0ms (2.5%)

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

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_782
*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795 add-cbrt-cube_binary64_796 associate-*r*_binary64_700 associate-*l*_binary64_701 pow1_binary64_821
add-exp-log_binary64_798
unswap-sqr_binary64_728 prod-exp_binary64_809 add-log-exp_binary64_799 cbrt-unprod_binary64_793 pow-prod-down_binary64_831 *-commutative_binary64_691
Counts
1 → 18
Calls

1 calls:

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

series111.0ms (3%)

Counts
1 → 11
Calls

1 calls:

111.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 176 to 144 computations (18.2% saved)

simplify81.0ms (2.2%)

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04919333
14919333

prune25.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New25429
Fresh000
Picked011
Done000
Total25530

Merged error: 0b

Counts
30 → 5
Compiler

Compiled 314 to 129 computations (58.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite26.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_782
13×*-un-lft-identity_binary64_760 sqrt-prod_binary64_776 add-cube-cbrt_binary64_795 pow1_binary64_821
11×add-exp-log_binary64_798 add-cbrt-cube_binary64_796
associate-*l*_binary64_701
sqrt-pow1_binary64_778
associate-*r*_binary64_700
exp-prod_binary64_812
prod-exp_binary64_809 add-log-exp_binary64_799 cbrt-unprod_binary64_793 pow-prod-down_binary64_831
unswap-sqr_binary64_728 rem-sqrt-square_binary64_773 pow1/2_binary64_840 *-commutative_binary64_691
Counts
4 → 75
Calls

4 calls:

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

series309.0ms (8.4%)

Counts
4 → 34
Calls

4 calls:

139.0ms
(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
125.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
23.0ms
(sqrt.f64 (exp.f64 re))
22.0ms
(sqrt.f64 (exp.f64 re))
Compiler

Compiled 660 to 538 computations (18.5% saved)

simplify113.0ms (3.1%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
049051159
149051159

prune72.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh033
Picked011
Done011
Total1095114

Merged error: 0b

Counts
114 → 5
Compiler

Compiled 1447 to 461 computations (68.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(cbrt.f64 (exp.f64 re))
0.0b
(cbrt.f64 (exp.f64 re))
0.0b
(*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re)))
0.0b
(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))

rewrite22.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt_binary64_782
26×cbrt-prod_binary64_791
17×*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795
13×pow1_binary64_821
12×associate-*r*_binary64_700
associate-*l*_binary64_701
pow1/3_binary64_842 add-exp-log_binary64_798
unswap-sqr_binary64_728 swap-sqr_binary64_727
add-cbrt-cube_binary64_796
add-log-exp_binary64_799
pow-prod-down_binary64_831
prod-exp_binary64_809 pow-sqr_binary64_733 cbrt-unprod_binary64_793 pow-prod-up_binary64_830 *-commutative_binary64_691
pow2_binary64_841 pow-plus_binary64_823
Counts
4 → 84
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
6.0ms
(*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re)))
2.0ms
(cbrt.f64 (exp.f64 re))
2.0ms
(cbrt.f64 (exp.f64 re))

series530.0ms (14.5%)

Counts
4 → 29
Calls

4 calls:

269.0ms
(*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re)))
99.0ms
(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
82.0ms
(cbrt.f64 (exp.f64 re))
80.0ms
(cbrt.f64 (exp.f64 re))
Compiler

Compiled 760 to 578 computations (23.9% saved)

simplify66.0ms (1.8%)

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050471237

prune87.0ms (2.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done022
Total1135118

Merged error: 0b

Counts
118 → 5
Compiler

Compiled 1997 to 534 computations (73.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
0.6b
(cbrt.f64 (sin.f64 im))
0.6b
(cbrt.f64 (sin.f64 im))
0.6b
(cbrt.f64 (sin.f64 im))

rewrite16.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_791
23×add-sqr-sqrt_binary64_782
15×*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795
11×pow1_binary64_821
pow1/3_binary64_842
add-exp-log_binary64_798 swap-sqr_binary64_727 associate-*r*_binary64_700 associate-*l*_binary64_701
unswap-sqr_binary64_728 add-log-exp_binary64_799 add-cbrt-cube_binary64_796
pow-sqr_binary64_733 pow-prod-up_binary64_830 pow-prod-down_binary64_831
pow2_binary64_841 prod-exp_binary64_809 pow-plus_binary64_823 cbrt-unprod_binary64_793 *-commutative_binary64_691
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
1.0ms
(cbrt.f64 (sin.f64 im))
1.0ms
(cbrt.f64 (sin.f64 im))
1.0ms
(cbrt.f64 (sin.f64 im))

series350.0ms (9.5%)

Counts
4 → 16
Calls

4 calls:

99.0ms
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
93.0ms
(cbrt.f64 (sin.f64 im))
80.0ms
(cbrt.f64 (sin.f64 im))
77.0ms
(cbrt.f64 (sin.f64 im))
Compiler

Compiled 522 to 419 computations (19.7% saved)

simplify67.0ms (1.8%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05176838

prune62.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done033
Total89594

Merged error: 0b

Counts
94 → 5
Compiler

Compiled 1503 to 400 computations (73.4% saved)

regimes117.0ms (3.2%)

Compiler

Compiled 792 to 565 computations (28.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
178

end0.0ms (0%)

sample1.3s (35.6%)

Algorithm
intervals
Results
319.0ms1358×body1024valid
246.0ms5657×body128valid
106.0ms628×body1024invalid
84.0ms663×body512valid
40.0ms350×body512invalid
40.0ms898×body128invalid
32.0ms319×body256valid
14.0ms163×body256invalid
2.0msbody2048valid
Compiler

Compiled 165 to 120 computations (27.3% saved)

Profiling

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