Details

Time bar (total: 4.6s)

sample311.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.665405%

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: 33.3b

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))
31.0b
(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)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ (* re re) (* im im))
18.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify90.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0259745
1894701
22872696
35001694

prune149.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New721183
Fresh000
Picked101
Done000
Total731184

Merged error: 7.4b

Counts
84 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
32.0b
(log (+ (* re re) (* im im)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
72×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×pow1
43×log-pow
24×associate-/r*
12×add-exp-log
11×add-cbrt-cube
7×associate-/l*
6×div-inv add-log-exp
4×cbrt-undiv div-exp
3×log-prod
2×log-div frac-2neg flip3-+ clear-num flip-+
1×+-commutative rem-log-exp sum-log associate-/r/
Counts
4 → 159
Calls
4 calls:
5.0ms
(+ (* re re) (* im im))
6.0ms
(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
4.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
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 (/ (log 10.0) (log (+ (* re re) (* im im)))))
26.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
9.0ms
(log (+ (* re re) (* im im)))

simplify66.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04901926
121261824
250021813

prune258.0ms

Filtered
111 candidates to 171 candidates (-54.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1629171
Fresh5510
Picked101
Done000
Total16814182

Merged error: 7.3b

Counts
182 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 1/2) (/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im))))))
0.5b
(/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
32.0b
(log (+ (* re re) (* im im)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
476×times-frac
249×add-sqr-sqrt
217×add-cube-cbrt *-un-lft-identity
135×sqrt-prod
125×associate-*r*
121×pow1
115×log-pow
24×associate-/r*
21×add-exp-log
20×add-cbrt-cube
16×div-inv
10×associate-/l* unswap-sqr
7×cbrt-undiv div-exp
6×associate-*l*
4×add-log-exp
3×log-prod prod-exp cbrt-unprod
2×log-div frac-2neg clear-num associate-/r/
1×flip3-+ associate-*r/ rem-log-exp pow-prod-down *-commutative flip-+
Counts
4 → 368
Calls
4 calls:
35.0ms
(* (sqrt 1/2) (/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im))))))
8.0ms
(/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
4.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
3.0ms
(log (+ (* re re) (* im im)))

series90.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (sqrt 1/2) (/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im))))))
23.0ms
(/ (sqrt 1/2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
31.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
10.0ms
(log (+ (* re re) (* im im)))

simplify132.0ms

Algorithm
egg-herbie
Counts
380 → 380
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08414988
140464674
250014659

prune570.0ms

Filtered
184 candidates to 380 candidates (-106.5%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New3746380
Fresh21113
Picked011
Done000
Total37618394

Merged error: 7.1b

Counts
394 → 18

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* 2 (log (cbrt (+ (* re re) (* im im))))) (log (cbrt (+ (* re re) (* im im)))))
0.6b
(/ (log 10.0) (+ (* 2 (log (cbrt (+ (* re re) (* im im))))) (log (cbrt (+ (* re re) (* im im))))))
31.9b
(cbrt (+ (* re re) (* im im)))
31.9b
(cbrt (+ (* re re) (* im im)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt times-frac
18×log-prod
17×pow1
15×cbrt-prod
13×log-pow
12×associate-+l+ distribute-rgt-out
6×add-exp-log distribute-rgt-in cbrt-div associate-+r+ distribute-lft-in distribute-lft1-in associate-/r* add-cbrt-cube
5×flip3-+ flip-+ add-log-exp
4×associate-/l*
2×associate-+r- log-div pow1/3 associate-/r/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 108
Calls
4 calls:
11.0ms
(+ (* 2 (log (cbrt (+ (* re re) (* im im))))) (log (cbrt (+ (* re re) (* im im)))))
7.0ms
(/ (log 10.0) (+ (* 2 (log (cbrt (+ (* re re) (* im im))))) (log (cbrt (+ (* re re) (* im im))))))
3.0ms
(cbrt (+ (* re re) (* im im)))
3.0ms
(cbrt (+ (* re re) (* im im)))

series107.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (* 2 (log (cbrt (+ (* re re) (* im im))))) (log (cbrt (+ (* re re) (* im im)))))
44.0ms
(/ (log 10.0) (+ (* 2 (log (cbrt (+ (* re re) (* im im))))) (log (cbrt (+ (* re re) (* im im))))))
21.0ms
(cbrt (+ (* re re) (* im im)))
21.0ms
(cbrt (+ (* re re) (* im im)))

simplify152.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
03621657
110811441
244691378
350011358

prune161.0ms

Filtered
92 candidates to 120 candidates (-30.4%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1191120
Fresh11516
Picked101
Done011
Total12117138

Merged error: 7.1b

Counts
138 → 17

regimes1.2s

Accuracy

56.7% (10.7b remaining)

Error of 17.9b against oracle of 7.3b and baseline of 31.9b

bsearch42.0ms

Steps
ItersRangePoint
6
5.968187267600891e+131
3.2652973689964837e+132
1.601300062698605e+132
9
-1.7241645411506706e+87
-5.180699886919112e+79
-1.6998950373020774e+87

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04831
15031
25031

end0.0ms

sample977.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.665405%

Results
482.0ms8000×body80valid

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