Details

Time bar (total: 10.6s)

sample262.0ms

Algorithm
intervals
Results
169.0ms114×body1280valid
54.0ms75×body640valid
13.0ms37×body320valid
7.0ms256×pre80true
4.0ms21×body160valid
1.0ms9×body80valid

simplify4.0ms

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: 60.8b

Counts
2 → 1

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.8b
(log (+ 1.0 x))
5.8b
(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:
5.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series24.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

simplify61.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0515773
12021724
25002711

prune205.0ms

Filtered
78 candidates to 56 candidates (28.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72678
Fresh000
Picked011
Done000
Total72779

Merged error: 58.1b

Counts
79 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b
(* 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)))))
5.8b
(log (- 1.0 x))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
84×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
50×*-un-lft-identity
48×add-cube-cbrt
30×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
11×pow1 add-cbrt-cube
10×div-exp prod-exp
8×add-log-exp
6×pow-to-exp pow-exp
5×log-prod associate-*r/ log-pow
4×log-div flip3-- associate-/r/ frac-sub flip-- associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv flip3-+ diff-log div-sub cbrt-unprod flip-+ div-inv
1×sub-neg frac-2neg rem-log-exp pow-prod-down associate--l+ clear-num sum-log *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 179
Calls
4 calls:
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
20.0ms
(* 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))

series22.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
5.0ms
(* 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))

simplify55.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
010811895
150011642

prune527.0ms

Filtered
191 candidates to 127 candidates (33.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1901191
Fresh325
Picked101
Done101
Total1953198

Merged error: 0.0b

Counts
198 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
159×add-sqr-sqrt
136×associate-*r*
112×unpow-prod-down
95×*-un-lft-identity
83×add-cube-cbrt
52×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
20×prod-exp
19×div-exp
16×add-cbrt-cube
12×pow1 pow-to-exp pow-exp
8×distribute-lft-out-- add-log-exp
6×associate-*r/ associate-*l* associate-/l*
4×associate-/r/ log-pow frac-sub cbrt-unprod difference-of-squares
3×cbrt-undiv flip3-- associate-/r* flip-- div-inv
2×flip3-+ diff-log pow-prod-down *-commutative flip-+ associate-/l/
1×sub-neg frac-2neg div-sub associate--l+ clear-num sum-log
Counts
4 → 282
Calls
4 calls:
26.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
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)))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
8.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
8.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 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)))))

simplify120.0ms

Algorithm
egg-herbie
Counts
294 → 294
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
08962919
143382480
250012480

prune1.2s

Filtered
294 candidates to 184 candidates (37.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2913294
Fresh022
Picked011
Done000
Total2916297

Merged error: 0b

Counts
297 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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))))
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))))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
242×times-frac
180×add-sqr-sqrt
162×*-un-lft-identity
114×add-cube-cbrt
68×associate-*r*
56×unpow-prod-down
40×add-exp-log
32×distribute-lft-out--
30×associate-/r*
24×unpow2 sqr-pow
23×pow1
17×div-exp unswap-sqr
16×log-pow add-cbrt-cube difference-of-squares
11×associate-/r/
10×prod-exp
8×add-log-exp
7×flip3-- flip-- div-inv
6×pow-to-exp pow-exp associate-/l*
5×cbrt-undiv associate-*r/
4×frac-sub associate-/l/
3×associate-*l*
2×rec-exp frac-2neg flip3-+ diff-log 1-exp clear-num cbrt-unprod flip-+
1×sub-neg pow-flip div-sub pow-prod-down associate--l+ sum-log *-commutative inv-pow
Counts
4 → 292
Calls
4 calls:
30.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
13.0ms
(/ 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)))))))
29.0ms
(/ (- (+ (* 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))))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
13.0ms
(/ 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)))))))
9.0ms
(/ (- (+ (* 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))))))

simplify96.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
012095814
150025398

prune1.4s

Filtered
304 candidates to 179 candidates (41.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3040304
Fresh044
Picked011
Done011
Total3046310

Merged error: 0b

Counts
310 → 6

regimes107.0ms

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

sample6.0s

Algorithm
intervals
Results
3.8s3430×body1280valid
1.4s2433×body640valid
360.0ms1268×body320valid
155.0ms8000×pre80true
105.0ms637×body160valid
16.0ms232×body80valid

Profiling

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