Details

Time bar (total: 7.0s)

sample164.0ms

Algorithm
intervals
Results
102.0ms110×body1280valid
35.0ms82×body640valid
9.0ms39×body320valid
5.0ms256×pre80true
3.0ms20×body160valid
0.0ms5×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.2b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.4b
(log (+ 1.0 x))
5.4b
(log (- 1.0 x))

rewrite20.0ms

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:
12.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series23.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
4.0ms
(log (- 1.0 x))

simplify53.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0515773
12021724
25002711

prune169.0ms

Filtered
56 candidates to 78 candidates (-39.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New72678
Fresh000
Picked101
Done000
Total73679

Merged error: 59.9b

Counts
79 → 6

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)))))
5.4b
(log (- 1.0 x))

rewrite15.0ms

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:
10.0ms
(/ (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))

series14.0ms

Counts
2 → 6
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))

simplify57.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0548942
12133882
25001862

prune176.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New58159
Fresh235
Picked101
Done000
Total61465

Merged error: 0.0b

Counts
65 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* 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)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
21×add-sqr-sqrt
18×times-frac
13×add-cube-cbrt
8×distribute-lft-out--
6×pow1 associate-/l*
4×add-exp-log associate-/r/ log-pow add-cbrt-cube add-log-exp difference-of-squares
3×associate-/r*
2×flip3-- flip3-+ associate-*r/ frac-sub flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-sub div-exp clear-num sum-log div-inv
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
12.0ms
(/ (- (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)))))

series19.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
10.0ms
(/ (- (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)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04051404
116191318
250011313

prune239.0ms

Filtered
46 candidates to 63 candidates (-37.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New61263
Fresh033
Picked011
Done000
Total61667

Merged error: 0.0b

Counts
67 → 6

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
127×*-un-lft-identity
111×add-sqr-sqrt
79×add-cube-cbrt
32×distribute-lft-out--
30×associate-/r*
20×pow1
16×add-exp-log log-pow difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv associate-/l/
2×rec-exp frac-2neg flip3-+ 1-exp associate-*r/ clear-num frac-sub flip-+
1×+-commutative pow-flip div-sub sum-log inv-pow
Counts
3 → 177
Calls
3 calls:
4.0ms
(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
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)))))))
13.0ms
(/ (- (+ (* 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))))))

series32.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
10.0ms
(/ 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)))))))
10.0ms
(/ (- (+ (* 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))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06965052
135874752
250014620

prune728.0ms

Filtered
91 candidates to 186 candidates (-104.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1851186
Fresh134
Picked011
Done011
Total1866192

Merged error: 0.0b

Counts
192 → 6

regimes47.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01917
11917

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.2s3498×body1280valid
1.1s2410×body640valid
278.0ms1232×body320valid
134.0ms8000×pre80true
83.0ms617×body160valid
14.0ms243×body80valid

Profiling

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