Details

Time bar (total: 5.2s)

sample24.0ms

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: 30.3b

Counts
2 → 1

localize10.0ms

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))
27.9b
(sqrt (+ (* re re) (* im im)))

rewrite16.0ms

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))
4.0ms
(sqrt (+ (* re re) (* im im)))

series193.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (* re re) (* im im))
127.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
37.0ms
(sqrt (+ (* re re) (* im im)))

simplify85.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0256741
1895697
22846694
35001694

prune214.0ms

Filtered
83 candidates to 55 candidates (66.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New711283
Fresh000
Picked101
Done000
Total721284

Merged error: 6.9b

Counts
84 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 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)))
29.1b
(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))
25.0ms
(* (/ 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)))
3.0ms
(log (+ (* re re) (* im im)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* re re) (* im im))
136.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
185.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
46.0ms
(log (+ (* re re) (* im im)))

simplify65.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05632161
124111979
250021897

prune367.0ms

Filtered
176 candidates to 104 candidates (59.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1679176
Fresh6511
Picked101
Done000
Total17414188

Merged error: 6.7b

Counts
188 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
14.8b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
15.6b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
44×times-frac
40×add-cube-cbrt *-un-lft-identity
25×pow-unpow associate-*l* sqrt-prod
21×log-prod
13×pow1
12×add-exp-log unpow-prod-down
9×add-cbrt-cube
8×log-pow
7×distribute-rgt-in distribute-lft-in
6×add-log-exp
4×associate-*r* sqr-pow
3×rem-log-exp unswap-sqr
2×pow-to-exp pow-exp prod-exp cbrt-unprod div-inv
1×cbrt-undiv +-commutative pow-pow flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+
Counts
4 → 128
Calls
4 calls:
4.0ms
(+ (* re re) (* im im))
12.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
4.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
7.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* re re) (* im im))
392.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
282.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
310.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify73.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05541776
125191567
250021445

prune343.0ms

Filtered
140 candidates to 90 candidates (64.3%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1373140
Fresh21113
Picked011
Done000
Total13915154

Merged error: 6.7b

Counts
154 → 15

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
29.1b
(log (+ (* re re) (* im im)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
332×times-frac
189×sqrt-prod
179×associate-*r*
178×add-sqr-sqrt
154×add-cube-cbrt *-un-lft-identity
53×pow1
48×log-pow
13×add-exp-log
12×add-cbrt-cube
8×div-inv
7×unswap-sqr
5×add-log-exp
4×associate-*l*
3×cbrt-undiv log-prod div-exp prod-exp cbrt-unprod
2×log-div flip3-+ flip-+
1×+-commutative associate-*r/ rem-log-exp pow-prod-down sum-log *-commutative
Counts
3 → 231
Calls
3 calls:
4.0ms
(+ (* re re) (* im im))
47.0ms
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
4.0ms
(log (+ (* re re) (* im im)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* re re) (* im im))
149.0ms
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
47.0ms
(log (+ (* re re) (* im im)))

simplify97.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
08812992
143802542
250012529

prune395.0ms

Filtered
240 candidates to 105 candidates (43.8%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New2373240
Fresh21113
Picked011
Done011
Total23916255

Merged error: 6.7b

Counts
255 → 16

regimes718.0ms

Accuracy

56.4% (10.5b remaining)

Error of 18.1b against oracle of 7.6b and baseline of 31.6b

bsearch99.0ms

Steps
ItersRangePoint
8
2.224153274346489e+123
6.946603895444927e+125
3.6811024995784536e+124
9
-1.8381366819645658e+18
-188210149501.77475
-1.811987746298423e+18

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04233
14233

end0.0ms

sample627.0ms

Algorithm
intervals
Results
480.0ms8000×body80valid

Profiling

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