Details

Time bar (total: 9.9s)

sample256.0ms

Algorithm
intervals
Results
142.0ms131×body1280valid
36.0ms71×body640valid
8.0ms34×body320valid
5.0ms256×pre80true
2.0ms13×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: 61.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.6b
(log (+ 1.0 x))
4.8b
(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))

series20.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

simplify56.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0515773
12021724
25002711

prune176.0ms

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: 59.4b

Counts
79 → 7

localize15.0ms

Local error

Found 3 expressions with local error:

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)))))
4.8b
(log (- 1.0 x))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
83×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
49×*-un-lft-identity
47×add-cube-cbrt
29×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×pow1 div-exp prod-exp add-cbrt-cube
6×pow-to-exp pow-exp
5×log-prod log-pow
4×log-div associate-/r/ associate-/l*
3×flip3-- associate-*r/ associate-*l* associate-/r* flip-- add-log-exp
2×cbrt-undiv div-sub frac-sub cbrt-unprod div-inv
1×frac-2neg flip3-+ rem-log-exp pow-prod-down clear-num *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 163
Calls
3 calls:
19.0ms
(* 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))

series19.0ms

Counts
3 → 9
Calls
3 calls:
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))

simplify108.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010401572
144061408
250011408

prune390.0ms

Filtered
172 candidates to 114 candidates (33.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1711172
Fresh145
Picked101
Done011
Total1736179

Merged error: 0.0b

Counts
179 → 6

localize14.0ms

Local error

Found 3 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
(/ (- (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)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
158×add-sqr-sqrt
136×associate-*r*
112×unpow-prod-down
94×*-un-lft-identity
82×add-cube-cbrt
51×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
20×prod-exp
19×div-exp
15×add-cbrt-cube
12×pow-to-exp pow-exp
11×pow1
8×distribute-lft-out--
6×associate-*l* associate-/l*
4×associate-*r/ associate-/r/ log-pow cbrt-unprod difference-of-squares
3×cbrt-undiv associate-/r* div-inv add-log-exp
2×flip3-- pow-prod-down *-commutative frac-sub flip-- associate-/l/
1×frac-2neg flip3-+ div-sub clear-num flip-+
Counts
3 → 266
Calls
3 calls:
19.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
22.0ms
(* 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
3 → 9
Calls
3 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(* 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)))))

simplify103.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08552669
141522249
250022249

prune846.0ms

Filtered
275 candidates to 171 candidates (37.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2741275
Fresh044
Picked011
Done011
Total2747281

Merged error: 0.0b

Counts
281 → 7

localize19.0ms

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)))
0.1b
(/ (sqrt (- (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)))))
0.1b
(* (sqrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (/ (sqrt (- (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))))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
208×add-sqr-sqrt
171×associate-*r*
132×*-un-lft-identity
112×unpow-prod-down
108×add-cube-cbrt
57×add-exp-log
53×sqrt-prod
48×unpow2 sqr-pow
40×unswap-sqr
22×prod-exp
21×add-cbrt-cube
20×div-exp
18×pow1
16×distribute-lft-out--
15×associate-*l*
12×pow-to-exp pow-exp
9×associate-/l*
8×associate-/r/ log-pow difference-of-squares
7×associate-*r/
6×sqrt-div cbrt-unprod
5×flip3-- flip--
4×cbrt-undiv frac-sub div-inv add-log-exp
3×pow-prod-down associate-/r* *-commutative
2×frac-times flip3-+ associate-*l/ flip-+ associate-/l/
1×frac-2neg clear-num
Counts
4 → 345
Calls
4 calls:
22.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
19.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
12.0ms
(/ (sqrt (- (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)))))
25.0ms
(* (sqrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (/ (sqrt (- (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))))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
14.0ms
(/ (sqrt (- (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)))))
10.0ms
(* (sqrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (/ (sqrt (- (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))))))

simplify80.0ms

Algorithm
egg-herbie
Counts
357 → 357
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011625279
150014684

prune2.2s

Filtered
357 candidates to 219 candidates (38.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3570357
Fresh044
Picked011
Done022
Total3577364

Merged error: 0.0b

Counts
364 → 7

regimes110.0ms

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

sample5.2s

Algorithm
intervals
Results
3.4s3596×body1280valid
1.1s2397×body640valid
281.0ms1193×body320valid
140.0ms8000×pre80true
83.0ms620×body160valid
11.0ms194×body80valid

Profiling

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