Details

Time bar (total: 2.7s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
74.9%25%0.1%3
87.4%12.5%0.1%4
93.7%6.2%0.1%5
96.8%3.1%0.1%6
98.3%1.6%0.1%7
99.1%0.8%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14
Compiler

Compiled 7 to 7 computations (0% saved)

sample16.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify102.0ms (3.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
079
179

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.8b
Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.8b
(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64_766
10×*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782
pow1_binary64_821
associate-/r*_binary64_704 log-pow_binary64_849
add-exp-log_binary64_798 add-cbrt-cube_binary64_796 associate-/l*_binary64_705
frac-2neg_binary64_771 cbrt-undiv_binary64_794 add-log-exp_binary64_799 div-inv_binary64_757 div-exp_binary64_811 clear-num_binary64_759
Counts
1 → 31
Calls

1 calls:

3.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

series36.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

36.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

simplify112.0ms (4.1%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
05096518

prune39.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New27734
Fresh000
Picked011
Done000
Total27835
Error
0.0b
Counts
35 → 8
Compiler

Compiled 500 to 299 computations (40.2% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

rewrite39.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt_binary64_782
85×times-frac_binary64_766
52×*-un-lft-identity_binary64_760
51×sqrt-prod_binary64_776
46×add-cube-cbrt_binary64_795
26×add-exp-log_binary64_798
25×associate-*r*_binary64_700 associate-*l*_binary64_701
16×add-cbrt-cube_binary64_796
15×unswap-sqr_binary64_728
14×pow1_binary64_821
10×log-pow_binary64_849
div-exp_binary64_811
prod-exp_binary64_809
associate-/r*_binary64_704
cbrt-undiv_binary64_794
cbrt-unprod_binary64_793
div-inv_binary64_757 associate-/l*_binary64_705
add-log-exp_binary64_799 rec-exp_binary64_810 1-exp_binary64_804
frac-2neg_binary64_771 associate-*l/_binary64_703 frac-times_binary64_770 associate-*r/_binary64_702 clear-num_binary64_759 pow-prod-down_binary64_831 *-commutative_binary64_691
Counts
2 → 132
Calls

2 calls:

22.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
4.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

series90.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
36.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify95.0ms (3.5%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
051322592

prune157.0ms (5.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1344138
Fresh156
Picked101
Done101
Total1379146
Error
0.0b
Counts
146 → 9
Compiler

Compiled 2671 to 1925 computations (27.9% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

rewrite38.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
76×add-exp-log_binary64_798
46×times-frac_binary64_766
43×add-sqr-sqrt_binary64_782
40×prod-exp_binary64_809
33×*-un-lft-identity_binary64_760
31×add-cube-cbrt_binary64_795
28×add-cbrt-cube_binary64_796 associate-*l*_binary64_701
26×sqrt-prod_binary64_776 associate-*r*_binary64_700
20×div-exp_binary64_811
15×pow1_binary64_821
12×cbrt-unprod_binary64_793
10×rec-exp_binary64_810 1-exp_binary64_804
cbrt-undiv_binary64_794 log-pow_binary64_849
unswap-sqr_binary64_728 associate-*r/_binary64_702
pow-prod-down_binary64_831
un-div-inv_binary64_758
add-log-exp_binary64_799 div-inv_binary64_757 frac-times_binary64_770 *-commutative_binary64_691
associate-*l/_binary64_703
Counts
2 → 117
Calls

2 calls:

16.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))
11.0ms
(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))

series94.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

58.0ms
(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
36.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify126.0ms (4.7%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
047351642
147351642

prune126.0ms (4.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1212123
Fresh538
Picked011
Done000
Total1266132
Error
0b
Counts
132 → 6
Compiler

Compiled 2007 to 1575 computations (21.5% saved)

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.7b
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
0.8b
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

rewrite48.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
51×sqrt-prod_binary64_776
48×add-sqr-sqrt_binary64_782
46×times-frac_binary64_766
35×*-un-lft-identity_binary64_760
34×add-exp-log_binary64_798
33×add-cube-cbrt_binary64_795
31×associate-*l*_binary64_701
30×associate-*r*_binary64_700 unpow-prod-down_binary64_839
19×prod-exp_binary64_809
10×pow1_binary64_821
add-cbrt-cube_binary64_796
pow-exp_binary64_828
unswap-sqr_binary64_728
log-pow_binary64_849
cbrt-unprod_binary64_793 div-exp_binary64_811
add-log-exp_binary64_799 div-inv_binary64_757 pow-to-exp_binary64_829 sqr-pow_binary64_732 rec-exp_binary64_810 1-exp_binary64_804 *-commutative_binary64_691
associate-*l/_binary64_703 sqrt-div_binary64_777 pow-prod-down_binary64_831
Counts
2 → 102
Calls

2 calls:

22.0ms
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
14.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series168.0ms (6.2%)

Counts
2 → 6
Calls

2 calls:

129.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
39.0ms
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))

simplify63.0ms (2.3%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
055362642

prune166.0ms (6.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh134
Picked011
Done011
Total1086114
Error
0b
Counts
114 → 6
Compiler

Compiled 2727 to 2335 computations (14.4% saved)

regimes175.0ms (6.5%)

Accuracy

Total 0.1b remaining (97.4%)

Threshold costs 0.1b (97.4%)

Compiler

Compiled 1691 to 1434 computations (15.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01729
11729

end0.0ms (0%)

sample962.0ms (35.6%)

Algorithm
intervals
Results
300.0ms8000×body128valid
Compiler

Compiled 422 to 361 computations (14.5% saved)

Profiling

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