Details

Time bar (total: 2.5s)

analyze4.0ms

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

sample21.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01112
11112

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.4b

Counts
2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.7b
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
30.9b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac_binary64
22×log-pow_binary64
20×pow1_binary64
16×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
6×pow1/2_binary64 sqrt-pow1_binary64 associate-/l*_binary64
4×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-div_binary64
3×sqrt-prod_binary64
2×flip3-+_binary64 add-log-exp_binary64 div-sub_binary64 log-div_binary64 flip-+_binary64
1×cbrt-undiv_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
2 → 63
Calls
2 calls:
8.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
7.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify46.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051281032

prune73.0ms

Filtered
45 candidates to 69 candidates (-53.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New571269
Fresh000
Picked101
Done000
Total581270

Merged error: 7.7b

Counts
70 → 12

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
0.5b
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10)))
32.1b
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac_binary64
82×add-sqr-sqrt_binary64
54×sqrt-prod_binary64
52×*-un-lft-identity_binary64 add-cube-cbrt_binary64
33×pow1_binary64
32×associate-*r*_binary64
28×log-pow_binary64
25×associate-*l*_binary64
18×add-exp-log_binary64
17×add-cbrt-cube_binary64
9×unswap-sqr_binary64
7×associate-/r*_binary64
5×cbrt-undiv_binary64 div-exp_binary64
4×cbrt-unprod_binary64 prod-exp_binary64 associate-/l*_binary64 log-div_binary64
3×add-log-exp_binary64 log-prod_binary64 div-inv_binary64
2×flip3-+_binary64 div-sub_binary64 flip-+_binary64
1×pow-prod-down_binary64 rem-log-exp_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
3 → 153
Calls
3 calls:
22.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
8.0ms
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10)))
4.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series48.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
22.0ms
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10)))
8.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify73.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049402790
149402790

prune113.0ms

Filtered
93 candidates to 162 candidates (-74.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1548162
Fresh7411
Picked101
Done000
Total16212174

Merged error: 7.6b

Counts
174 → 12

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10)))))
0.3b
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10))))
32.1b
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log_binary64
46×times-frac_binary64
45×add-sqr-sqrt_binary64
35×*-un-lft-identity_binary64
33×add-cube-cbrt_binary64
29×add-cbrt-cube_binary64 associate-*l*_binary64
26×associate-*r*_binary64 sqrt-prod_binary64
22×prod-exp_binary64
18×pow1_binary64
12×cbrt-unprod_binary64
11×div-exp_binary64
8×log-pow_binary64
6×cbrt-undiv_binary64
5×associate-*r/_binary64 unswap-sqr_binary64
4×pow-prod-down_binary64
3×add-log-exp_binary64 log-prod_binary64 1-exp_binary64 rec-exp_binary64 un-div-inv_binary64
2×div-inv_binary64 log-div_binary64 frac-times_binary64 *-commutative_binary64
1×flip3-+_binary64 rem-log-exp_binary64 flip-+_binary64 associate-*l/_binary64
Counts
3 → 122
Calls
3 calls:
15.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10)))))
13.0ms
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10))))
4.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series46.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10)))))
20.0ms
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10))))
8.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify56.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
052411801

prune80.0ms

Filtered
69 candidates to 131 candidates (-89.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1310131
Fresh01111
Picked011
Done000
Total13112143

Merged error: 7.6b

Counts
143 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
0.5b
(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
0.6b
(/.f64 (log.f64 10) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
32.1b
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
532×times-frac_binary64
318×add-sqr-sqrt_binary64
238×*-un-lft-identity_binary64
228×add-cube-cbrt_binary64
152×sqrt-prod_binary64
125×associate-*r*_binary64
121×pow1_binary64
115×log-pow_binary64
42×add-exp-log_binary64
32×add-cbrt-cube_binary64
25×unswap-sqr_binary64
24×associate-/r*_binary64
22×associate-*l*_binary64
19×div-exp_binary64
17×div-inv_binary64
13×cbrt-undiv_binary64
10×associate-/l*_binary64
9×prod-exp_binary64
6×cbrt-unprod_binary64
4×add-log-exp_binary64
3×log-prod_binary64 1-exp_binary64
2×associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 log-div_binary64
1×pow-prod-down_binary64 flip3-+_binary64 rem-log-exp_binary64 associate-*r/_binary64 flip-+_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 410
Calls
4 calls:
69.0ms
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
9.0ms
(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
4.0ms
(/.f64 (log.f64 10) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
4.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series81.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
21.0ms
(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
21.0ms
(/.f64 (log.f64 10) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
8.0ms
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify99.0ms

Algorithm
egg-herbie
Counts
422 → 422
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
052138278

prune230.0ms

Filtered
201 candidates to 422 candidates (-110.0%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New4193422
Fresh2810
Picked011
Done011
Total42113434

Merged error: 7.5b

Counts
434 → 13

regimes572.0ms

Accuracy

56.9% (10.5b remaining)

Error of 17.8b against oracle of 7.3b and baseline of 31.7b

bsearch57.0ms

Steps
ItersRangePoint
9
4.0386733684252296e+23
1.6394822741952727e+30
1.2225237113435466e+30
7
4.851680649946939e-188
8.177560885744349e-187
2.1577752949736062e-187
6
-1.0628627204969256e-234
-1.4718834645897717e-235
-4.2360820877371696e-235
6
-1.7576925417377061e+133
-2.3560969911203584e+132
-3.8588398939432175e+132

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063104
163104

end0.0ms

sample610.0ms

Algorithm
intervals
Results
472.0ms8000×body80valid

Profiling

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