Details

Time bar (total: 4.7s)

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

prune6.0ms

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: 29.8b

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))
27.5b
(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))
4.0ms
(sqrt (+ (* re re) (* im im)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* re re) (* im im))
139.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
36.0ms
(sqrt (+ (* re re) (* im im)))

simplify92.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0256741
1895697
22846694
35001694

prune216.0ms

Filtered
83 candidates to 55 candidates (66.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New701383
Fresh000
Picked101
Done000
Total711384

Merged error: 6.6b

Counts
84 → 13

localize14.0ms

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)))
28.6b
(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))
24.0ms
(* (/ 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)))
4.0ms
(log (+ (* re re) (* im im)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* re re) (* im im))
146.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
191.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
54.0ms
(log (+ (* re re) (* im im)))

simplify69.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05632157
124111979
250021897

prune383.0ms

Filtered
176 candidates to 104 candidates (59.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1697176
Fresh9312
Picked101
Done000
Total17910189

Merged error: 6.4b

Counts
189 → 10

localize14.0ms

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))) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
28.6b
(log (+ (* re re) (* im im)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
46×add-sqr-sqrt times-frac
36×*-un-lft-identity
34×add-cube-cbrt
30×add-cbrt-cube
29×associate-*l*
26×associate-*r* sqrt-prod
22×prod-exp
19×pow1
12×cbrt-unprod
11×div-exp
8×log-pow
6×cbrt-undiv add-log-exp
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×rec-exp log-prod 1-exp un-div-inv
2×frac-times log-div flip3-+ *-commutative flip-+ div-inv
1×+-commutative rem-log-exp associate-*l/ sum-log
Counts
4 → 133
Calls
4 calls:
4.0ms
(+ (* re re) (* im im))
15.0ms
(* (/ 1/2 (sqrt (log 10.0))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
12.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
4.0ms
(log (+ (* re re) (* im im)))

series564.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* re re) (* im im))
296.0ms
(* (/ 1/2 (sqrt (log 10.0))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
191.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
48.0ms
(log (+ (* re re) (* im im)))

simplify71.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05961601
128311338
250021310

prune285.0ms

Filtered
145 candidates to 85 candidates (58.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1441145
Fresh279
Picked101
Done000
Total1478155

Merged error: 6.4b

Counts
155 → 8

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
15.6b
(pow (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))) (/ 1/2 (sqrt (log 10.0))))
16.4b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
50×pow-unpow
42×times-frac
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×sqrt-prod
13×unpow-prod-down
10×pow1
6×add-exp-log log-pow
5×pow-exp add-log-exp
3×pow-to-exp add-cbrt-cube sqr-pow
2×pow-pow div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 95
Calls
3 calls:
4.0ms
(+ (* re re) (* im im))
9.0ms
(pow (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))) (/ 1/2 (sqrt (log 10.0))))
7.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series855.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* re re) (* im im))
518.0ms
(pow (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))) (/ 1/2 (sqrt (log 10.0))))
310.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify57.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04901147
119261086
250021045

prune263.0ms

Filtered
104 candidates to 67 candidates (64.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1004104
Fresh257
Picked011
Done000
Total10210112

Merged error: 6.4b

Counts
112 → 10

regimes346.0ms

Accuracy

56.5% (10.7b remaining)

Error of 18.1b against oracle of 7.4b and baseline of 32.0b

bsearch75.0ms

Steps
ItersRangePoint
7
529440828116.31104
8485650209802.328
8416873713691.557
7
-3.903596515666165e+90
-1.8762369200254476e+89
-2.5956231956988e+90

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04433
14433

end0.0ms

sample604.0ms

Algorithm
intervals
Results
464.0ms8000×body80valid

Profiling

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