Details

Time bar (total: 4.1s)

sample26.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
30.4b
(sqrt (+ (* re re) (* im im)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div associate-/r*
3×flip3-+ sqrt-prod flip-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg div-exp clear-num sum-log div-inv
Counts
3 → 74
Calls
3 calls:
4.0ms
(+ (* re re) (* im im))
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
3.0ms
(sqrt (+ (* re re) (* im im)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* re re) (* im im))
19.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
7.0ms
(sqrt (+ (* re re) (* im im)))

simplify86.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0259745
1894701
22872696
35001694

prune202.0ms

Filtered
83 candidates to 55 candidates (33.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New701383
Fresh000
Picked101
Done000
Total711384

Merged error: 9.1b

Counts
84 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
31.6b
(log (+ (* re re) (* im im)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
83×add-sqr-sqrt
54×sqrt-prod
53×add-cube-cbrt *-un-lft-identity
34×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
19×add-exp-log
18×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
6×add-log-exp
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod flip3-+ flip-+ div-inv
2×div-sub
1×+-commutative frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 164
Calls
4 calls:
4.0ms
(+ (* re re) (* im im))
23.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
7.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
5.0ms
(log (+ (* re re) (* im im)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* re re) (* im im))
24.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
22.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
9.0ms
(log (+ (* re re) (* im im)))

simplify65.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05632179
124622003
250021905

prune334.0ms

Filtered
176 candidates to 106 candidates (39.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1679176
Fresh9312
Picked101
Done000
Total17712189

Merged error: 9.0b

Counts
189 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.4b
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
31.6b
(log (+ (* re re) (* im im)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
126×sqrt-prod
112×times-frac
107×add-sqr-sqrt
69×add-cube-cbrt *-un-lft-identity
56×associate-*l*
42×pow1
33×associate-*r*
31×log-pow
21×add-exp-log
20×add-cbrt-cube
12×unswap-sqr
10×sqrt-div
7×prod-exp associate-/r* cbrt-unprod
6×frac-times associate-*r/
4×log-div pow-prod-down associate-*l/ div-inv associate-/l* add-log-exp
3×cbrt-undiv log-prod div-exp
2×flip3-+ div-sub *-commutative flip-+
1×frac-2neg rem-log-exp clear-num
Counts
4 → 207
Calls
4 calls:
25.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
18.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))))
7.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
3.0ms
(log (+ (* re re) (* im im)))

series108.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
28.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))))
22.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
9.0ms
(log (+ (* re re) (* im im)))

simplify81.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06233195
126922944
250012906

prune584.0ms

Filtered
219 candidates to 136 candidates (37.9%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New2118219
Fresh4711
Picked011
Done000
Total21516231

Merged error: 8.9b

Counts
231 → 16

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
4.8b
(pow (exp (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
31.6b
(log (+ (* re re) (* im im)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×sqrt-prod
33×pow1
32×pow-unpow
28×log-pow
26×pow-pow
25×exp-prod
7×add-exp-log associate-/r*
6×log-div add-cbrt-cube add-log-exp
4×flip3-+ div-sub flip-+ associate-/l*
3×unpow-prod-down log-prod div-inv
2×pow-sub
1×cbrt-undiv +-commutative pow-to-exp frac-2neg div-exp rem-log-exp pow-exp clear-num sum-log sqr-pow
Counts
4 → 151
Calls
4 calls:
4.0ms
(+ (* re re) (* im im))
7.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
12.0ms
(pow (exp (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
3.0ms
(log (+ (* re re) (* im im)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* re re) (* im im))
23.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
53.0ms
(pow (exp (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
9.0ms
(log (+ (* re re) (* im im)))

simplify56.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05131963
120161849
250021829

prune346.0ms

Filtered
163 candidates to 103 candidates (36.8%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1594163
Fresh41014
Picked011
Done011
Total16316179

Merged error: 8.9b

Counts
179 → 16

regimes1.1s

Accuracy

57.3% (10.6b remaining)

Error of 18.0b against oracle of 7.4b and baseline of 32.2b

bsearch82.0ms

Steps
ItersRangePoint
10
9.505106128559536e+57
6.59646740926997e+68
1.2700176216873086e+67
9
5.2408079940262724e-298
2.790291951824227e-292
7.304705160840413e-295
5
-2.3728811283954646e-182
-1.1462584561031472e-182
-1.158653488383448e-182
8
-1.1856381651144898e+85
-2.8591464038880072e+82
-9.102033456124089e+84

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06272
16272

end0.0ms

sample686.0ms

Algorithm
intervals
Results
465.0ms8000×body80valid

Profiling

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