Details

Time bar (total: 4.6s)

sample106.0ms

Algorithm
intervals
Results
61.0ms124×body1280valid
19.0ms74×body640valid
6.0ms38×body320valid
6.0ms222×body80nan
1.0ms15×body160valid
0.0ms5×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1204
2234
3234

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.8b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
4.2b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite25.0ms

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:
11.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
11.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series150.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
119.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify140.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0339657
11040625
24497607
35001607

prune139.0ms

Filtered
89 candidates to 59 candidates (66.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New85489
Fresh000
Picked101
Done000
Total86490

Merged error: 0.1b

Counts
90 → 4

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

prune6.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.1b

Counts
4 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
0.0b
(/ 1 (+ 1.0 eps))
4.4b
(log (/ 1 (+ 1.0 eps)))
4.4b
(log (- 1.0 eps))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
46×log-prod
36×times-frac
35×add-sqr-sqrt
31×add-cube-cbrt
18×associate-+r+
14×add-exp-log distribute-lft-out
12×pow1
8×log-pow
6×log-div associate-/r/ add-cbrt-cube
5×associate-+l+ rem-log-exp
4×flip3-+ div-exp associate-/r* flip-+ add-log-exp
3×log-rec div-inv associate-/l*
2×associate-+l- rec-exp flip3-- pow-flip 1-exp flip-- distribute-lft-out-- inv-pow difference-of-squares
1×cbrt-undiv +-commutative associate-+r- frac-2neg unsub-neg clear-num sum-log
Counts
4 → 130
Calls
4 calls:
11.0ms
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
5.0ms
(/ 1 (+ 1.0 eps))
5.0ms
(log (/ 1 (+ 1.0 eps)))
3.0ms
(log (- 1.0 eps))

series310.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
22.0ms
(/ 1 (+ 1.0 eps))
68.0ms
(log (/ 1 (+ 1.0 eps)))
44.0ms
(log (- 1.0 eps))

simplify49.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0467861
11536768
25002679

prune202.0ms

Filtered
142 candidates to 87 candidates (61.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1384142
Fresh202
Picked101
Done011
Total1415146

Merged error: 0.1b

Counts
146 → 5

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1.0 eps))
0.0b
(* 1/2 (/ (pow eps 2) (pow 1.0 2)))
0.0b
(+ (- (log 1.0) (+ (* 1/2 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (log (/ 1 (+ 1.0 eps))))
4.4b
(log (/ 1 (+ 1.0 eps)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
98×add-sqr-sqrt
95×*-un-lft-identity
68×associate-*r*
64×add-cube-cbrt
56×unpow-prod-down
39×log-prod
36×add-exp-log
24×unpow2 sqr-pow
18×associate-+r+
17×unswap-sqr
16×distribute-lft-out
14×pow1
13×div-exp
11×add-cbrt-cube
10×prod-exp
8×log-pow add-log-exp
6×pow-to-exp pow-exp associate-/r/
5×associate-+l+
4×flip3-+ rem-log-exp associate-/r* sum-log flip-+ div-inv distribute-lft-out--
3×associate-*l* log-rec associate--l+ associate-/l*
2×cbrt-undiv log-div rec-exp pow-flip diff-log 1-exp cbrt-unprod inv-pow
1×+-commutative associate-+l- associate-+r- sub-neg frac-2neg associate-*r/ unsub-neg pow-prod-down clear-num *-commutative
Counts
4 → 227
Calls
4 calls:
5.0ms
(/ 1 (+ 1.0 eps))
19.0ms
(* 1/2 (/ (pow eps 2) (pow 1.0 2)))
25.0ms
(+ (- (log 1.0) (+ (* 1/2 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (log (/ 1 (+ 1.0 eps))))
9.0ms
(log (/ 1 (+ 1.0 eps)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 1 (+ 1.0 eps))
49.0ms
(* 1/2 (/ (pow eps 2) (pow 1.0 2)))
83.0ms
(+ (- (log 1.0) (+ (* 1/2 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (log (/ 1 (+ 1.0 eps))))
73.0ms
(log (/ 1 (+ 1.0 eps)))

simplify106.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09931720
142861498
250031436

prune445.0ms

Filtered
239 candidates to 140 candidates (58.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2381239
Fresh033
Picked101
Done011
Total2395244

Merged error: 0.1b

Counts
244 → 5

regimes21.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1159

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.4s3427×body1280valid
546.0ms2524×body640valid
160.0ms8036×body80nan
151.0ms1247×body320valid
42.0ms587×body160valid
7.0ms215×body80valid

Profiling

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