Details

Time bar (total: 1.5s)

analyze89.0ms (5.9%)

Algorithm
1×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
25%74.9%0.1%5
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample14.0ms (0.9%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify97.0ms (6.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0812
1812

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
32.6b
Counts
2 → 1
Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
30.7b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite9.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
4×add-log-exp_binary64_799 add-sqr-sqrt_binary64_782
3×*-un-lft-identity_binary64_760 sqrt-prod_binary64_776 add-cube-cbrt_binary64_795 pow1_binary64_821
2×flip3-+_binary64_763 add-exp-log_binary64_798 sqrt-div_binary64_777 flip-+_binary64_734 add-cbrt-cube_binary64_796
1×rem-sqrt-square_binary64_773 sqrt-pow1_binary64_778 +-commutative_binary64_690 sum-log_binary64_851 pow1/2_binary64_840
Counts
2 → 26
Calls

2 calls:

4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
4.0ms
(+.f64 (*.f64 re re) (*.f64 im im))

series46.0ms (3%)

Counts
2 → 6
Calls

2 calls:

25.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
20.0ms
(+.f64 (*.f64 re re) (*.f64 im im))

simplify65.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04924443
14924443

prune30.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533
Error
10.9b
Counts
33 → 5
Compiler

Compiled 421 to 116 computations (72.4% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
30.7b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
30.7b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite45.0ms (3%)

Algorithm
1×rewrite-expression-head
Rules
86×sqrt-prod_binary64_776
62×add-sqr-sqrt_binary64_782
38×sqrt-pow1_binary64_778
32×sqrt-div_binary64_777
31×pow1_binary64_821
20×*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795 pow1/2_binary64_840
15×swap-sqr_binary64_727
12×rem-sqrt-square_binary64_773
9×unswap-sqr_binary64_728 flip3-+_binary64_763 flip-+_binary64_734 associate-*r*_binary64_700 associate-*l*_binary64_701 pow-prod-up_binary64_830
6×add-exp-log_binary64_798 add-cbrt-cube_binary64_796
5×pow-sqr_binary64_733 pow-prod-down_binary64_831
4×add-log-exp_binary64_799 sqr-abs_binary64_775 frac-times_binary64_770
2×associate-*l/_binary64_703 associate-*r/_binary64_702
1×pow2_binary64_841 prod-exp_binary64_809 rem-square-sqrt_binary64_772 pow-plus_binary64_823 sqrt-unprod_binary64_780 cbrt-unprod_binary64_793 *-commutative_binary64_691
Counts
4 → 138
Calls

4 calls:

17.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
5.0ms
(sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series143.0ms (9.5%)

Counts
4 → 12
Calls

4 calls:

64.0ms
(sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
32.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
24.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
23.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify118.0ms (7.8%)

Algorithm
1×egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
048782359
148782359

prune107.0ms (7.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1500150
Fresh033
Picked011
Done011
Total1505155
Error
10.9b
Counts
155 → 5
Compiler

Compiled 2990 to 483 computations (83.8% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055
Error
10.9b
Counts
5 → 5
Compiler

Compiled 3 to 5 computations (-66.7% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055
Error
10.9b
Counts
5 → 5
Compiler

Compiled 0 to 0 computations (0% saved)

regimes185.0ms (12.3%)

Accuracy

Total 9.9b remaining (56.2%)

Threshold costs 0b (0%)

Compiler

Compiled 667 to 436 computations (34.6% saved)

bsearch20.0ms (1.4%)

Steps
ItersRangePoint
5
5.260043276393901e+109
1.1067884338187856e+110
1.0437951990510016e+110
8
-1.8377479244131975e+99
-3.491647886846416e+96
-1.2774219057251701e+99
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02328
12328

end0.0ms (0%)

sample500.0ms (33.3%)

Algorithm
1×intervals
Results
241.0ms8000×body128valid
Compiler

Compiled 89 to 61 computations (31.5% saved)

Profiling

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