Details

Time bar (total: 15.8s)

sample4.8s

Algorithm
intervals
sampling

Space saved by range analysis: 50.048828%

Space saved by search: 50.048828%

Guaranteed chance to sample good point: 0%

Results
111.0ms117×body1280valid
31.0ms68×body640valid
10.0ms41×body320valid
4.0ms256×pre80true
4.0ms26×body160valid
0.0ms4×body80valid

simplify5.0ms

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: 61.4b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.8b
(log (- 1.0 x))
6.8b
(log (+ 1.0 x))

rewrite13.0ms

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))

series22.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0515773
12021724
25002711

prune166.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New73578
Fresh000
Picked101
Done000
Total74579

Merged error: 59.4b

Counts
79 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
6.8b
(log (- 1.0 x))

rewrite21.0ms

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

series18.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
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))

simplify61.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05931192
122971113
250011095

prune221.0ms

Filtered
60 candidates to 78 candidates (-30.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New77178
Fresh044
Picked101
Done000
Total78583

Merged error: 0.0b

Counts
83 → 5

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* 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)))))

rewrite20.0ms

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* add-log-exp
4×add-exp-log associate-*r/ associate-/r/ log-pow frac-sub add-cbrt-cube difference-of-squares
3×flip3-- associate-/r* flip--
2×flip3-+ diff-log flip-+ associate-/l/
1×cbrt-undiv sub-neg frac-2neg div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
2 → 62
Calls
2 calls:
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 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)))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
9.0ms
(/ (- (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
68 → 68
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04051523
116261432
250021430

prune247.0ms

Filtered
49 candidates to 68 candidates (-38.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New68068
Fresh044
Picked011
Done000
Total68573

Merged error: 0.0b

Counts
73 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
0.0b
(pow (/ (log (- 1.0 x)) (log (+ 1.0 x))) 3)
6.8b
(log (- 1.0 x))
6.8b
(log (+ 1.0 x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
39×*-un-lft-identity
37×add-sqr-sqrt
35×add-cube-cbrt
33×pow1
28×log-pow
20×unpow-prod-down cube-prod
11×add-exp-log
9×log-prod add-cbrt-cube
6×log-div
4×associate-/r* associate-/l* add-log-exp
3×pow-unpow div-inv
2×cbrt-undiv flip3-- div-sub div-exp rem-log-exp pow-exp flip-- rem-cube-cbrt
1×cube-div cube-mult pow-to-exp pow-pow frac-2neg flip3-+ unpow3 clear-num flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 129
Calls
4 calls:
6.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
8.0ms
(pow (/ (log (- 1.0 x)) (log (+ 1.0 x))) 3)
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

series96.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
76.0ms
(pow (/ (log (- 1.0 x)) (log (+ 1.0 x))) 3)
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

simplify50.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014062149
150012040

prune340.0ms

Filtered
82 candidates to 141 candidates (-72.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh033
Picked011
Done011
Total1415146

Merged error: 0.0b

Counts
146 → 5

regimes65.0ms

Accuracy

0% (0.4b 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
01917
11917

end0.0ms

sample9.4s

Algorithm
intervals
sampling

Space saved by range analysis: 50.048828%

Space saved by search: 50.048828%

Guaranteed chance to sample good point: 0%

Results
3.0s3363×body1280valid
1.1s2531×body640valid
287.0ms1265×body320valid
130.0ms8000×pre80true
82.0ms623×body160valid
12.0ms218×body80valid

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