Details

Time bar (total: 7.0s)

sample23.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.1b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
30.6b
(sqrt (+ (* re re) (* im im)))

rewrite13.0ms

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)))

series167.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify130.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (122.0ms)

IterNodesCost
0221664
1556631
21309628
34251628
45001627

prune180.0ms

Filtered
69 candidates to 45 candidates (65.2%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New551469
Fresh000
Picked101
Done000
Total561470

Merged error: 7.1b

Counts
70 → 14

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
31.8b
(log (+ (* re re) (* im im)))

rewrite21.0ms

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)))

series308.0ms

Counts
3 → 9
Calls
3 calls:
132.0ms
(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
124.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
52.0ms
(log (+ (* re re) (* im im)))

simplify55.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04611827
117191738
250011735

prune299.0ms

Filtered
157 candidates to 99 candidates (63.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1498157
Fresh9413
Picked101
Done000
Total15912171

Merged error: 7.1b

Counts
171 → 12

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 1/2) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
0.5b
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
31.8b
(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:
148.0ms
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (sqrt 1/2) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))))
12.0ms
(/ (sqrt 1/2) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
5.0ms
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
4.0ms
(log (+ (* re re) (* im im)))

series677.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (sqrt 1/2) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))))
238.0ms
(/ (sqrt 1/2) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
169.0ms
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
46.0ms
(log (+ (* re re) (* im im)))

simplify127.0ms

Algorithm
egg-herbie
Counts
624 → 624
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0146210577
150019953

prune975.0ms

Filtered
624 candidates to 248 candidates (39.7%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New6195624
Fresh11011
Picked011
Done000
Total62016636

Merged error: 6.9b

Counts
636 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (sqrt 1/2) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
0.5b
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
31.8b
(log (+ (* re re) (* im im)))

rewrite157.0ms

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:
35.0ms
(/ (sqrt 1/2) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
10.0ms
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
4.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
7.0ms
(log (+ (* re re) (* im im)))

series601.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(/ (sqrt 1/2) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
192.0ms
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
127.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
55.0ms
(log (+ (* re re) (* im im)))

simplify239.0ms

Algorithm
egg-herbie
Counts
1114 → 1114
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
0205722523
1500121703

prune1.4s

Filtered
1114 candidates to 385 candidates (34.6%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New111131114
Fresh11314
Picked011
Done011
Total1112181130

Merged error: 6.9b

Counts
1130 → 18

regimes655.0ms

Accuracy

57.8% (10.1b remaining)

Error of 17.5b against oracle of 7.4b and baseline of 31.4b

bsearch93.0ms

Steps
ItersRangePoint
8
1.0377450056832987e+49
1.0041582718964663e+52
9.925805021843878e+51
8
-3.787686207962144e+86
-8.148928646783835e+82
-4.1223485435328213e+83

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04736
14736

end0.0ms

sample611.0ms

Algorithm
intervals
Results
472.0ms8000×body80valid

Profiling

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