Details

Time bar (total: 2.6s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%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

sample22.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01112
11112

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
0.6b
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10.0))
28.7b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac_binary64
22×log-pow_binary64
21×pow1_binary64
17×add-sqr-sqrt_binary64
16×*-un-lft-identity_binary64 add-cube-cbrt_binary64
6×pow1/2_binary64 sqrt-pow1_binary64 associate-/l*_binary64
5×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×associate-/r*_binary64 sqrt-div_binary64
3×flip3-+_binary64 sqrt-prod_binary64 flip-+_binary64
2×div-sub_binary64 log-div_binary64
1×cbrt-undiv_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
3 → 74
Calls
3 calls:
5.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
8.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10.0))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series40.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
24.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10.0))
8.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify44.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049261163
149261163

prune116.0ms

Filtered
55 candidates to 83 candidates (-50.9%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New691483
Fresh000
Picked101
Done000
Total701484

Merged error: 6.0b

Counts
84 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
0.2b
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))))
0.5b
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0)))
29.8b
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac_binary64
83×add-sqr-sqrt_binary64
54×sqrt-prod_binary64
53×*-un-lft-identity_binary64 add-cube-cbrt_binary64
34×pow1_binary64
32×associate-*r*_binary64
28×log-pow_binary64
25×associate-*l*_binary64
19×add-exp-log_binary64
18×add-cbrt-cube_binary64
9×unswap-sqr_binary64
7×associate-/r*_binary64
6×add-log-exp_binary64
5×cbrt-undiv_binary64 div-exp_binary64
4×cbrt-unprod_binary64 prod-exp_binary64 associate-/l*_binary64 log-div_binary64
3×flip3-+_binary64 log-prod_binary64 div-inv_binary64 flip-+_binary64
2×div-sub_binary64
1×pow-prod-down_binary64 rem-log-exp_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 frac-times_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 164
Calls
4 calls:
5.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
26.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))))
8.0ms
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0)))
4.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
22.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))))
24.0ms
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0)))
10.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify92.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049412997
149412997

prune175.0ms

Filtered
104 candidates to 176 candidates (-69.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1697176
Fresh11213
Picked101
Done000
Total1819190

Merged error: 5.8b

Counts
190 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
0.2b
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))
0.2b
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0))))
29.8b
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64
46×add-sqr-sqrt_binary64 times-frac_binary64
36×*-un-lft-identity_binary64
34×add-cube-cbrt_binary64
30×add-cbrt-cube_binary64
29×associate-*l*_binary64
26×associate-*r*_binary64 sqrt-prod_binary64
22×prod-exp_binary64
19×pow1_binary64
12×cbrt-unprod_binary64
11×div-exp_binary64
8×log-pow_binary64
6×add-log-exp_binary64 cbrt-undiv_binary64
5×associate-*r/_binary64 unswap-sqr_binary64
4×pow-prod-down_binary64
3×log-prod_binary64 1-exp_binary64 rec-exp_binary64 un-div-inv_binary64
2×flip3-+_binary64 div-inv_binary64 log-div_binary64 flip-+_binary64 frac-times_binary64 *-commutative_binary64
1×rem-log-exp_binary64 +-commutative_binary64 associate-*l/_binary64 sum-log_binary64
Counts
4 → 133
Calls
4 calls:
5.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
17.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))
12.0ms
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0))))
4.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
22.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))
24.0ms
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0))))
10.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify58.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049491972
149491972

prune128.0ms

Filtered
83 candidates to 145 candidates (-74.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1450145
Fresh088
Picked011
Done000
Total1459154

Merged error: 5.8b

Counts
154 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0)))) (*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))))))
0.4b
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0)))))
0.5b
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0)))
29.8b
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
126×sqrt-prod_binary64
112×times-frac_binary64
107×add-sqr-sqrt_binary64
69×*-un-lft-identity_binary64 add-cube-cbrt_binary64
60×associate-*l*_binary64
42×pow1_binary64
31×log-pow_binary64
29×associate-*r*_binary64
21×add-exp-log_binary64
20×add-cbrt-cube_binary64
12×unswap-sqr_binary64
10×sqrt-div_binary64
7×associate-/r*_binary64 cbrt-unprod_binary64 prod-exp_binary64
6×associate-*r/_binary64 frac-times_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 associate-/l*_binary64 div-inv_binary64 log-div_binary64 associate-*l/_binary64
3×log-prod_binary64 cbrt-undiv_binary64 div-exp_binary64
2×flip3-+_binary64 div-sub_binary64 flip-+_binary64 *-commutative_binary64
1×rem-log-exp_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 207
Calls
4 calls:
20.0ms
(*.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0)))) (*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))))))
27.0ms
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0)))))
8.0ms
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0)))
4.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(*.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0)))) (*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))))))
58.0ms
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0)))))
24.0ms
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0)))
11.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify70.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049524371
149524371

prune240.0ms

Filtered
134 candidates to 219 candidates (-63.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New2154219
Fresh167
Picked011
Done011
Total21612228

Merged error: 5.7b

Counts
228 → 12

regimes534.0ms

Accuracy

57.7% (10.5b remaining)

Error of 18.1b against oracle of 7.6b and baseline of 32.3b

bsearch30.0ms

Steps
ItersRangePoint
8
4.968976558356122e+91
5.8774745178997e+94
8.860843829360954e+93
6
-2.0192875199418532e+51
-3.1573391340994785e+50
-1.8014590457402938e+51

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04562
14562

end0.0ms

sample601.0ms

Algorithm
intervals
Results
468.0ms8000×body80valid

Profiling

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