Details

Time bar (total: 6.2s)

sample27.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune8.0ms

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: 28.9b

Counts
2 → 1

localize12.0ms

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))
26.7b
(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))
3.0ms
(sqrt (+ (* re re) (* im im)))

series234.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (* re re) (* im im))
156.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
41.0ms
(sqrt (+ (* re re) (* im im)))

simplify90.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0256741
1895697
22846694
35001694

prune318.0ms

Filtered
83 candidates to 55 candidates (33.7%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New691483
Fresh000
Picked101
Done000
Total701484

Merged error: 7.6b

Counts
84 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sqrt (+ (* re re) (* im im))))
26.7b
(sqrt (+ (* re re) (* im im)))
26.7b
(sqrt (+ (* re re) (* im im)))
26.7b
(sqrt (+ (* re re) (* im im)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
9×add-cube-cbrt *-un-lft-identity
8×sqrt-div
7×pow1
6×cbrt-prod
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×cbrt-div
1×pow1/3
Counts
4 → 61
Calls
4 calls:
4.0ms
(cbrt (sqrt (+ (* re re) (* im im))))
4.0ms
(sqrt (+ (* re re) (* im im)))
4.0ms
(sqrt (+ (* re re) (* im im)))
4.0ms
(sqrt (+ (* re re) (* im im)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (sqrt (+ (* re re) (* im im))))
47.0ms
(sqrt (+ (* re re) (* im im)))
41.0ms
(sqrt (+ (* re re) (* im im)))
46.0ms
(sqrt (+ (* re re) (* im im)))

simplify45.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0146478
1405458
21153456
35001452

prune486.0ms

Filtered
73 candidates to 61 candidates (16.4%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New72173
Fresh01313
Picked101
Done000
Total731487

Merged error: 7.6b

Counts
87 → 14

localize20.0ms

Local error

Found 4 expressions with local error:

4.2b
(exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
26.7b
(sqrt (+ (* re re) (* im im)))
26.7b
(sqrt (+ (* re re) (* im im)))
26.7b
(sqrt (+ (* re re) (* im im)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
9×log-prod exp-sum
8×pow1 sqrt-div
6×cbrt-prod
5×exp-prod
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×log-div cbrt-div exp-diff log-pow
1×pow1/3 rem-exp-log
Counts
4 → 69
Calls
4 calls:
6.0ms
(exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
4.0ms
(sqrt (+ (* re re) (* im im)))
4.0ms
(sqrt (+ (* re re) (* im im)))
4.0ms
(sqrt (+ (* re re) (* im im)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
49.0ms
(sqrt (+ (* re re) (* im im)))
43.0ms
(sqrt (+ (* re re) (* im im)))
47.0ms
(sqrt (+ (* re re) (* im im)))

simplify46.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0193544
1472521
21253502
35002488

prune614.0ms

Filtered
81 candidates to 65 candidates (19.8%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh01313
Picked011
Done000
Total801595

Merged error: 7.6b

Counts
95 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
0.7b
(pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3)
26.7b
(sqrt (+ (* re re) (* im im)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
94×log-pow
79×pow1
64×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
62×cbrt-prod
56×unpow-prod-down cube-prod
22×sqrt-pow1 pow1/2
9×add-exp-log add-cbrt-cube
6×associate-/l*
5×div-inv
4×sqrt-div associate-/r* add-log-exp
3×pow-unpow sqrt-prod
2×cbrt-undiv cube-div cube-mult log-div flip3-+ unpow3 div-sub div-exp pow-exp flip-+ rem-cube-cbrt sqr-pow
1×pow-to-exp rem-sqrt-square cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
4 → 211
Calls
4 calls:
8.0ms
(cbrt (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3))
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
7.0ms
(pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3)
4.0ms
(sqrt (+ (* re re) (* im im)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3))
167.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
278.0ms
(pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)) 3)
46.0ms
(sqrt (+ (* re re) (* im im)))

simplify74.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05542581
122922450
250022428

prune627.0ms

Filtered
223 candidates to 94 candidates (57.8%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New21310223
Fresh4913
Picked101
Done011
Total21820238

Merged error: 7.5b

Counts
238 → 20

regimes1.6s

Accuracy

57.4% (10.3b remaining)

Error of 17.7b against oracle of 7.4b and baseline of 31.7b

bsearch81.0ms

Steps
ItersRangePoint
5
2.2866843337900248e+77
5.514542683406611e+77
4.325223030489154e+77
8
-3.719641692260901e+158
-1.2498419091925624e+154
-1.269258234578637e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03633
13833
23833

end0.0ms

sample670.0ms

Algorithm
intervals
Results
449.0ms8000×body80valid

Profiling

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