Details

Time bar (total: 4.2s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample87.0ms

Algorithm
intervals
Results
48.0ms98×body1280valid
21.0ms76×body640valid
7.0ms43×body320valid
3.0ms29×body160valid
0.0ms10×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
7.8b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/l*
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×flip3-+ div-exp rem-log-exp flip-+ div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 83
Calls
2 calls:
9.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
11.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify147.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0339657
11040623
24497605
35001605

prune149.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New83689
Fresh000
Picked101
Done000
Total84690

Merged error: 0.2b

Counts
90 → 6

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune13.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New000
Fresh055
Picked011
Done000
Total066

Merged error: 0.2b

Counts
6 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
7.9b
(log (- 1.0 eps))
7.9b
(log (+ 1.0 eps))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×log-prod
13×add-sqr-sqrt
9×pow1
8×log-div
7×add-cube-cbrt
6×log-pow distribute-lft-out--
5×add-exp-log associate--l+
4×associate--r+
3×flip3-- add-cbrt-cube flip-- add-log-exp difference-of-squares
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×sub-neg diff-log
Counts
3 → 61
Calls
3 calls:
8.0ms
(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms
(log (- 1.0 eps))
3.0ms
(log (+ 1.0 eps))

series19.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms
(log (- 1.0 eps))
3.0ms
(log (+ 1.0 eps))

simplify83.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0323439
1887414
23343392
35002392

prune126.0ms

Filtered
53 candidates to 70 candidates (-32.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh314
Picked011
Done101
Total71576

Merged error: 0.0b

Counts
76 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* -2/3 (/ (pow eps 3) (pow 1.0 3))) (+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps)))
0.1b
(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.2b
(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
201×associate-*r*
172×add-sqr-sqrt
128×unpow-prod-down
107×add-cube-cbrt *-un-lft-identity
80×cube-prod
52×sqr-pow
49×add-exp-log
27×unswap-sqr
24×cube-mult unpow3
20×prod-exp
18×div-exp
13×add-cbrt-cube
12×pow-to-exp pow-exp
8×add-log-exp
7×pow1
6×associate-*l*
4×associate-*r/ cbrt-unprod
2×cbrt-undiv diff-log pow-prod-down *-commutative frac-sub div-inv
1×sub-neg flip3-- flip3-+ sum-log flip-- flip-+ associate--r+
Counts
3 → 294
Calls
3 calls:
22.0ms
(- (* -2/3 (/ (pow eps 3) (pow 1.0 3))) (+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps)))
19.0ms
(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
34.0ms
(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- (* -2/3 (/ (pow eps 3) (pow 1.0 3))) (+ (* 2/5 (/ (pow eps 5) (pow 1.0 5))) (* 2.0 eps)))
8.0ms
(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
7.0ms
(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

simplify54.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012311895
150011707

prune624.0ms

Filtered
162 candidates to 303 candidates (-87.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3030303
Fresh033
Picked011
Done011
Total3035308

Merged error: 0.0b

Counts
308 → 5

regimes36.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211
12211

end0.0ms

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample2.7s

Algorithm
intervals
Results
1.6s3381×body1280valid
652.0ms2440×body640valid
202.0ms1264×body320valid
67.0ms693×body160valid
10.0ms222×body80valid

Profiling

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