Details

Time bar (total: 7.1s)

sample174.0ms

Algorithm
intervals
Results
114.0ms120×body1280valid
35.0ms79×body640valid
8.0ms36×body320valid
4.0ms256×pre80true
2.0ms17×body160valid
0.0ms4×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune2.0ms

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: 62.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.7b
(log (- 1.0 x))
4.9b
(log (+ 1.0 x))

rewrite14.0ms

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))

series213.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
42.0ms
(log (- 1.0 x))
44.0ms
(log (+ 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0425668
11561624
25001599

prune166.0ms

Filtered
78 candidates to 55 candidates (70.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72678
Fresh000
Picked011
Done000
Total72779

Merged error: 59.7b

Counts
79 → 7

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)))))
4.7b
(log (- 1.0 x))

rewrite19.0ms

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:
14.0ms
(/ (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))

series186.0ms

Counts
2 → 6
Calls
2 calls:
143.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
42.0ms
(log (- 1.0 x))

simplify53.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0503920
11937863
25001852

prune185.0ms

Filtered
59 candidates to 46 candidates (78.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New58159
Fresh145
Picked101
Done101
Total61566

Merged error: 0.1b

Counts
66 → 5

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)))))

series121.0ms

Counts
1 → 3
Calls
1 calls:
121.0ms
(/ (- (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)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03581273
114461201
250011195

prune141.0ms

Filtered
49 candidates to 35 candidates (71.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New46349
Fresh044
Picked101
Done000
Total47754

Merged error: 0.0b

Counts
54 → 7

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
126×*-un-lft-identity
110×add-sqr-sqrt
78×add-cube-cbrt
32×distribute-lft-out--
30×associate-/r*
19×pow1
16×log-pow difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
4×cbrt-undiv associate-/l/
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num frac-sub add-log-exp
1×pow-flip flip3-+ div-sub flip-+ inv-pow
Counts
2 → 166
Calls
2 calls:
14.0ms
(/ 1 (/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
14.0ms
(/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series249.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(/ 1 (/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
126.0ms
(/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify113.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06344934
133274635
250014503

prune278.0ms

Filtered
172 candidates to 81 candidates (47.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1720172
Fresh066
Picked011
Done000
Total1727179

Merged error: 0.0b

Counts
179 → 7

regimes33.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02318
12318

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.1s3366×body1280valid
1.1s2530×body640valid
293.0ms1254×body320valid
132.0ms8000×pre80true
84.0ms629×body160valid
13.0ms221×body80valid

Profiling

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