Details

Time bar (total: 22.6s)

sample7.8s

Algorithm
intervals
Results
115.0ms127×body1280valid
32.0ms76×body640valid
7.0ms34×body320valid
4.0ms256×pre80true
2.0ms12×body160valid
0.0ms7×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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.7b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.1b
(log (- 1.0 x))
4.1b
(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))
4.0ms
(log (+ 1.0 x))

series21.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0515773
12021724
25002711

prune180.0ms

Filtered
78 candidates to 56 candidates (28.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New72678
Fresh000
Picked101
Done000
Total73679

Merged error: 59.7b

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)))))
4.1b
(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))

series17.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ (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 (48.0ms)

IterNodesCost
0548942
12133882
25001862

prune185.0ms

Filtered
59 candidates to 46 candidates (22.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New58159
Fresh145
Picked101
Done000
Total60565

Merged error: 0.0b

Counts
65 → 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)))))

rewrite14.0ms

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)))))

series10.0ms

Counts
1 → 3
Calls
1 calls:
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)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03581273
114461201
250011195

prune199.0ms

Filtered
49 candidates to 35 candidates (28.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New48149
Fresh044
Picked011
Done000
Total48654

Merged error: 0.0b

Counts
54 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.6b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.6b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×cbrt-div
11×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt
6×associate-*r/ frac-sub
5×pow1
4×add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
3×flip3-+ flip-+
2×distribute-lft-out--
1×log-pow difference-of-squares
Counts
4 → 61
Calls
4 calls:
5.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
6.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
6.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
6.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
12.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
12.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
15.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04501694
116321610
250021564

prune1.0s

Filtered
73 candidates to 67 candidates (8.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh044
Picked101
Done011
Total73679

Merged error: 0.0b

Counts
79 → 6

regimes98.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01917
11917

end0.0ms

sample12.7s

Algorithm
intervals
Results
3.3s3582×body1280valid
1.0s2408×body640valid
263.0ms1189×body320valid
142.0ms8000×pre80true
83.0ms619×body160valid
11.0ms202×body80valid

Profiling

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