Details

Time bar (total: 4.0s)

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

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: 31.7b

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))
29.3b
(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)))

series29.0ms

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)))

simplify87.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0259745
1894701
22872696
35001694

prune159.0ms

Filtered
83 candidates to 55 candidates (33.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New701383
Fresh000
Picked101
Done000
Total711384

Merged error: 8.6b

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))))
0.4b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
30.4b
(log (+ (* re re) (* im im)))

rewrite42.0ms

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)))
3.0ms
(log (+ (* re re) (* im im)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* re re) (* im im))
20.0ms
(* (/ 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)))

simplify65.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05632179
124622003
250021905

prune350.0ms

Filtered
176 candidates to 106 candidates (39.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1697176
Fresh7512
Picked101
Done000
Total17712189

Merged error: 8.5b

Counts
189 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
12.7b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
18.8b
(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))))

series119.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* re re) (* im im))
43.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
35.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
35.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify69.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05691798
126421588
250011456

prune319.0ms

Filtered
140 candidates to 91 candidates (35.0%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1373140
Fresh11011
Picked011
Done000
Total13814152

Merged error: 8.4b

Counts
152 → 14

localize14.0ms

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))))
30.4b
(log (+ (* re re) (* im im)))

rewrite70.0ms

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))
46.0ms
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
3.0ms
(log (+ (* re re) (* im im)))

series39.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* re re) (* im im))
24.0ms
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
9.0ms
(log (+ (* re re) (* im im)))

simplify89.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
08873008
144532559
250022546

prune387.0ms

Filtered
240 candidates to 105 candidates (56.3%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New2373240
Fresh11112
Picked011
Done011
Total23816254

Merged error: 8.4b

Counts
254 → 16

regimes1.2s

Accuracy

57.1% (10.7b remaining)

Error of 17.8b against oracle of 7.1b and baseline of 32.0b

bsearch69.0ms

Steps
ItersRangePoint
6
3.9313145927311245e+121
2.0989723635039152e+122
1.7016760672680053e+122
9
5.288922968543465e-175
1.1017530415124988e-167
5.648024360897893e-175
5
1.2054142733369224e-190
4.667789949126332e-190
4.529918324918252e-190
10
-9.289314960594277e+73
-2.1138234311272116e+58
-2.2445475909179794e+73

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05560
16260
26560
36560

end0.0ms

sample712.0ms

Algorithm
intervals
Results
486.0ms8000×body80valid

Profiling

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