Details

Time bar (total: 7.3s)

sample163.0ms

Algorithm
intervals
Results
104.0ms112×body1280valid
31.0ms72×body640valid
10.0ms41×body320valid
5.0ms256×pre80true
3.0ms22×body160valid
0.0ms9×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 60.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.2b
(log (- 1.0 x))
6.2b
(log (+ 1.0 x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
6.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

series218.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
42.0ms
(log (- 1.0 x))
48.0ms
(log (+ 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0425668
11561624
25001599

prune174.0ms

Filtered
78 candidates to 55 candidates (70.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New71778
Fresh000
Picked011
Done000
Total71879

Merged error: 57.9b

Counts
79 → 8

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
6.2b
(log (- 1.0 x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt times-frac
7×pow1
5×add-exp-log log-prod log-pow
4×log-div associate-/r/ add-cbrt-cube associate-/l*
3×flip3-- associate-/r* flip--
2×div-sub associate-*r/ frac-sub add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
11.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
3.0ms
(log (- 1.0 x))

series184.0ms

Counts
2 → 6
Calls
2 calls:
140.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
43.0ms
(log (- 1.0 x))

simplify56.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0503920
11937863
25001852

prune185.0ms

Filtered
59 candidates to 46 candidates (78.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New58159
Fresh156
Picked101
Done011
Total60767

Merged error: 0.1b

Counts
67 → 7

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×add-sqr-sqrt
18×times-frac
12×add-cube-cbrt
8×distribute-lft-out--
6×associate-/l*
5×pow1
4×associate-/r/ log-pow difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×flip3-- associate-*r/ frac-sub flip-- associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-sub div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
13.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series127.0ms

Counts
1 → 3
Calls
1 calls:
127.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03581273
114461201
250011195

prune135.0ms

Filtered
49 candidates to 35 candidates (71.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh235
Picked101
Done011
Total49756

Merged error: 0.1b

Counts
56 → 7

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (exp (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
0.0b
(exp (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.0b
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
55×add-sqr-sqrt
54×times-frac
52×exp-prod
37×log-pow
35×add-cube-cbrt
20×distribute-lft-out--
14×pow1
12×associate-/r/
10×difference-of-squares
6×associate-*r/ frac-sub associate-/l*
5×add-exp-log add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×log-prod flip3-+ div-sub associate-/r* flip-+ div-inv
2×exp-diff associate-/l/
1×cbrt-undiv log-div frac-2neg div-exp rem-log-exp clear-num rem-exp-log
Counts
3 → 120
Calls
3 calls:
15.0ms
(log (exp (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
14.0ms
(exp (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
14.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series407.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(log (exp (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
161.0ms
(exp (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
123.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04742824
117342659
250022653

prune353.0ms

Filtered
129 candidates to 95 candidates (73.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1281129
Fresh055
Picked011
Done011
Total1288136

Merged error: 0.0b

Counts
136 → 8

regimes66.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02119
12119

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.2s3478×body1280valid
1.1s2457×body640valid
283.0ms1227×body320valid
132.0ms8000×pre80true
79.0ms604×body160valid
13.0ms234×body80valid

Profiling

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