Details

Time bar (total: 4.8s)

sample113.0ms

Algorithm
intervals
Results
60.0ms117×body1280valid
19.0ms70×body640valid
9.0ms261×body80nan
8.0ms46×body320valid
2.0ms17×body160valid
0.0ms6×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

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: 58.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.6b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify118.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune140.0ms

Filtered
88 candidates to 58 candidates (34.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84488
Fresh000
Picked101
Done000
Total85489

Merged error: 0.1b

Counts
89 → 4

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
69×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
35×add-cube-cbrt *-un-lft-identity
24×add-exp-log unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
6×pow-to-exp pow-exp add-cbrt-cube
3×pow1 associate-*l*
2×cbrt-unprod
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 110
Calls
1 calls:
20.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify51.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0528643
12205526
25001525

prune202.0ms

Filtered
113 candidates to 68 candidates (39.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh033
Picked011
Done000
Total1134117

Merged error: 0.1b

Counts
117 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
0.0b
(/ 1 (- 1.0 x))
4.6b
(log (+ 1.0 x))
4.6b
(log (/ 1 (- 1.0 x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
54×add-sqr-sqrt
50×log-prod
45×times-frac
34×add-cube-cbrt
21×associate-+r+
14×add-exp-log
12×pow1
10×distribute-lft-out-- difference-of-squares
8×log-pow
6×log-div associate-/r/ add-cbrt-cube distribute-lft-out
5×rem-log-exp associate-/r*
4×associate-+l+ div-exp add-log-exp
3×flip3-- flip3-+ log-rec flip-- flip-+ div-inv associate-/l*
2×associate-+l- rec-exp pow-flip 1-exp inv-pow
1×cbrt-undiv +-commutative associate-+r- frac-2neg unsub-neg clear-num sum-log
Counts
4 → 138
Calls
4 calls:
11.0ms
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
5.0ms
(/ 1 (- 1.0 x))
3.0ms
(log (+ 1.0 x))
5.0ms
(log (/ 1 (- 1.0 x)))

series16.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
2.0ms
(/ 1 (- 1.0 x))
3.0ms
(log (+ 1.0 x))
4.0ms
(log (/ 1 (- 1.0 x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0495945
11630841
25001731

prune188.0ms

Filtered
150 candidates to 89 candidates (40.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1473150
Fresh202
Picked101
Done011
Total1504154

Merged error: 0.1b

Counts
154 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

4.6b
(log (+ 1.0 x))
4.6b
(log (/ 1 (- 1.0 x)))
4.6b
(log (/ 1 (- 1.0 x)))
4.6b
(log (/ 1 (- 1.0 x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
67×log-prod
52×*-un-lft-identity
50×add-sqr-sqrt
45×times-frac
32×add-cube-cbrt
20×add-exp-log
13×rem-log-exp
11×pow1
10×log-pow
9×distribute-lft-out-- difference-of-squares
6×div-exp associate-/r/
5×log-div
4×add-cbrt-cube add-log-exp
3×rec-exp flip3-- pow-flip 1-exp log-rec flip-- div-inv inv-pow
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 126
Calls
4 calls:
3.0ms
(log (+ 1.0 x))
5.0ms
(log (/ 1 (- 1.0 x)))
5.0ms
(log (/ 1 (- 1.0 x)))
5.0ms
(log (/ 1 (- 1.0 x)))

series12.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(log (+ 1.0 x))
3.0ms
(log (/ 1 (- 1.0 x)))
3.0ms
(log (/ 1 (- 1.0 x)))
3.0ms
(log (/ 1 (- 1.0 x)))

simplify88.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0294892
1831828
23177747
35001696

prune358.0ms

Filtered
138 candidates to 77 candidates (44.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1371138
Fresh022
Picked011
Done011
Total1375142

Merged error: 0.1b

Counts
142 → 5

regimes39.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.6s3420×body1280valid
707.0ms2498×body640valid
297.0ms7994×body80nan
221.0ms1283×body320valid
65.0ms600×body160valid
10.0ms199×body80valid

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