Details

Time bar (total: 3.6s)

sample25.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.9b

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))
28.5b
(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:
3.0ms
(+ (* re re) (* im im))
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
3.0ms
(sqrt (+ (* re re) (* im im)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* re re) (* im im))
18.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify91.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0259745
1894701
22872696
35001694

prune165.0ms

Filtered
55 candidates to 83 candidates (-50.9%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New691483
Fresh000
Picked101
Done000
Total701484

Merged error: 7.5b

Counts
84 → 14

localize15.0ms

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)))
29.6b
(log (+ (* re re) (* im im)))

rewrite43.0ms

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))
22.0ms
(* (/ 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)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* re re) (* im im))
21.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
25.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
9.0ms
(log (+ (* re re) (* im im)))

simplify69.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05632179
124622003
250021905

prune338.0ms

Filtered
106 candidates to 176 candidates (-66.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New16610176
Fresh10313
Picked101
Done000
Total17713190

Merged error: 7.3b

Counts
190 → 13

localize18.0ms

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))))))
13.1b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
17.5b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite31.0ms

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))))

series122.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* re re) (* im im))
46.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
33.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
38.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify66.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05691798
126421588
250011456

prune331.0ms

Filtered
91 candidates to 140 candidates (-53.8%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1355140
Fresh3912
Picked101
Done000
Total13914153

Merged error: 7.3b

Counts
153 → 14

localize17.0ms

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))))
29.6b
(log (+ (* re re) (* im im)))

rewrite68.0ms

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:
3.0ms
(+ (* re re) (* im im))
42.0ms
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
3.0ms
(log (+ (* re re) (* im im)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* re re) (* im im))
21.0ms
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
9.0ms
(log (+ (* re re) (* im im)))

simplify90.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
08873008
144532559
250022546

prune432.0ms

Filtered
105 candidates to 240 candidates (-128.6%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2355240
Fresh21113
Picked011
Done000
Total23717254

Merged error: 7.3b

Counts
254 → 17

regimes809.0ms

Accuracy

58.1% (10.3b remaining)

Error of 17.8b against oracle of 7.4b and baseline of 32.2b

bsearch43.0ms

Steps
ItersRangePoint
9
2.235457460426315e+42
3.881159276158629e+49
4.762362303176534e+48
9
-8.03916928241823e+96
-6.652479648975256e+90
-7.447840042640931e+96

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04536
14936
24936

end0.0ms

sample698.0ms

Algorithm
intervals
Results
479.0ms8000×body80valid

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