Details

Time bar (total: 6.2s)

sample31.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.7b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
31.1b
(sqrt (+ (* re re) (* im im)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
4×add-exp-log sqrt-div associate-/r* add-cbrt-cube
3×sqrt-prod
2×log-div flip3-+ div-sub flip-+ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num div-inv
Counts
2 → 63
Calls
2 calls:
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify119.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (112.0ms)

IterNodesCost
0224668
1555635
21317630
33981628
45001627

prune148.0ms

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: 6.7b

Counts
70 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
32.3b
(log (+ (* re re) (* im im)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
71×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×pow1
43×log-pow
24×associate-/r*
11×add-exp-log
10×add-cbrt-cube
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
3×log-prod add-log-exp
2×log-div frac-2neg clear-num
1×flip3-+ rem-log-exp associate-/r/ flip-+
Counts
3 → 148
Calls
3 calls:
7.0ms
(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
4.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
4.0ms
(log (+ (* re re) (* im im)))

series60.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
26.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
9.0ms
(log (+ (* re re) (* im im)))

simplify56.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04551849
117531758
250011747

prune251.0ms

Filtered
101 candidates to 157 candidates (-55.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1507157
Fresh5611
Picked101
Done000
Total15613169

Merged error: 6.6b

Counts
169 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
0.5b
(/ (sqrt 1/2) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
32.3b
(log (+ (* re re) (* im im)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
2504×times-frac
1035×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
858×sqrt-prod
407×pow1
403×log-pow
134×associate-/r*
59×div-inv
30×associate-/l*
21×add-exp-log
20×add-cbrt-cube
10×cbrt-undiv div-exp
4×add-log-exp
3×log-prod frac-2neg clear-num
2×log-div
1×flip3-+ rem-log-exp associate-/r/ flip-+ associate-/l/
Counts
4 → 1102
Calls
4 calls:
9.0ms
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
38.0ms
(/ (sqrt 1/2) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
4.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
4.0ms
(log (+ (* re re) (* im im)))

series93.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
27.0ms
(/ (sqrt 1/2) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
25.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
9.0ms
(log (+ (* re re) (* im im)))

simplify229.0ms

Algorithm
egg-herbie
Counts
1114 → 1114
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0203522559
1500121728

prune1.6s

Filtered
382 candidates to 1114 candidates (-191.6%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New110951114
Fresh11112
Picked011
Done000
Total1110171127

Merged error: 6.4b

Counts
1127 → 17

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (sqrt 1/2) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))))
0.4b
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
0.5b
(/ (sqrt 1/2) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
32.3b
(log (+ (* re re) (* im im)))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
896×times-frac
537×add-sqr-sqrt
521×sqrt-prod
389×add-cube-cbrt *-un-lft-identity
197×associate-*r*
169×pow1
163×log-pow
46×associate-*l*
36×associate-/r*
35×unswap-sqr
33×add-exp-log
32×add-cbrt-cube
17×div-inv
13×cbrt-undiv div-exp associate-/l*
6×prod-exp cbrt-unprod
4×add-log-exp
3×log-prod
2×log-div frac-2neg clear-num associate-/r/
1×frac-times flip3-+ associate-*r/ rem-log-exp pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 612
Calls
4 calls:
151.0ms
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (sqrt 1/2) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))))
5.0ms
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
12.0ms
(/ (sqrt 1/2) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
4.0ms
(log (+ (* re re) (* im im)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (sqrt 1/2) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))))
30.0ms
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
27.0ms
(/ (sqrt 1/2) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
16.0ms
(log (+ (* re re) (* im im)))

simplify124.0ms

Algorithm
egg-herbie
Counts
624 → 624
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0143810601
150019984

prune1.1s

Filtered
248 candidates to 624 candidates (-151.6%)
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New6186624
Fresh41115
Picked011
Done011
Total62219641

Merged error: 6.4b

Counts
641 → 19

regimes966.0ms

Accuracy

54.1% (11.3b remaining)

Error of 18.8b against oracle of 7.6b and baseline of 32.1b

bsearch50.0ms

Steps
ItersRangePoint
2
3.7055969148681494e+74
4.0851276296420853e+74
3.847920932908375e+74
9
1.972701127919696e-154
3.1184930501819124e-149
1.9978621423146574e-154
4
-2.2615977117175166e-232
-1.4317118160029173e-232
-1.4789834381331188e-232
6
-6.159999295542085e+116
-1.4361419947092225e+116
-5.2675321921187936e+116

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05857
15857

end0.0ms

sample707.0ms

Algorithm
intervals
Results
483.0ms8000×body80valid

Profiling

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