Details

Time bar (total: 5.6s)

sample98.0ms

Algorithm
intervals
Results
51.0ms116×body1280valid
22.0ms87×body640valid
7.0ms251×body80nan
5.0ms36×body320valid
1.0ms10×body160valid
0.0msbody80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune1.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
4.1b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite20.0ms

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
distribute-lft-out-- difference-of-squares
add-exp-log
associate-/l*
associate-/r* associate-/r/ add-cbrt-cube
pow1
flip3-+ div-exp rem-log-exp flip-+ div-inv associate-/l/ add-log-exp
cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 83
Calls
2 calls:
10.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
120.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify133.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0339657
11040623
24497605
35001605

prune143.0ms

Filtered
89 candidates to 59 candidates (66.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New84589
Fresh000
Picked101
Done000
Total85590

Merged error: 0.1b

Counts
90 → 5

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

prune8.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done000
Total055

Merged error: 0.1b

Counts
5 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)))
4.1b
(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
4.1b
(log (- 1.0 eps))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
62×log-prod
49×*-un-lft-identity
45×add-sqr-sqrt
40×times-frac
26×associate-+l+
25×add-cube-cbrt
20×difference-of-squares
10×distribute-lft-out--
pow1
add-exp-log
log-div log-pow
associate-+r+
flip3-- associate-/r/ flip-- distribute-lft-out
rem-log-exp add-cbrt-cube add-log-exp
associate-+r- div-inv
+-commutative associate-+l- flip3-+ div-exp sum-log flip-+
Counts
3 → 102
Calls
3 calls:
14.0ms
(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)))
7.0ms
(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
6.0ms
(log (- 1.0 eps))

series353.0ms

Counts
3 → 9
Calls
3 calls:
227.0ms
(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)))
83.0ms
(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
42.0ms
(log (- 1.0 eps))

simplify47.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05321122
116301018
25001920

prune216.0ms

Filtered
111 candidates to 83 candidates (74.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1083111
Fresh213
Picked101
Done011
Total1115116

Merged error: 0.1b

Counts
116 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (- (log (- (pow 1.0 3) (pow eps 3))) (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))))
1.8b
(log (- (pow 1.0 3) (pow eps 3)))
3.9b
(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))
4.1b
(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
105×log-prod
91×add-sqr-sqrt
78×*-un-lft-identity
50×difference-of-squares
40×times-frac
29×associate-+r+
27×add-cube-cbrt
26×associate-+l+ distribute-lft-out--
25×associate--l+
24×unpow-prod-down cube-prod
20×pow1
16×log-pow sqr-pow
10×distribute-lft-out
add-exp-log
log-div
add-log-exp
rem-log-exp associate-/r/ add-cbrt-cube
flip3-- flip3-+ flip-- flip-+
difference-cubes sum-log div-inv associate--r-
+-commutative associate-+l- associate-+r- sub-neg diff-log div-exp
Counts
4 → 166
Calls
4 calls:
28.0ms
(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (- (log (- (pow 1.0 3) (pow eps 3))) (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))))
11.0ms
(log (- (pow 1.0 3) (pow eps 3)))
5.0ms
(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))
7.0ms
(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))

series701.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (- (log (- (pow 1.0 3) (pow eps 3))) (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))))
273.0ms
(log (- (pow 1.0 3) (pow eps 3)))
61.0ms
(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))
85.0ms
(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))

simplify89.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
08452408
129142253
250012195

prune538.0ms

Filtered
178 candidates to 125 candidates (70.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1771178
Fresh123
Picked011
Done011
Total1785183

Merged error: 0.1b

Counts
183 → 5

regimes29.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1159

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3422×body1280valid
641.0ms2540×body640valid
232.0ms8152×body80nan
191.0ms1229×body320valid
55.0ms596×body160valid
9.0ms213×body80valid

Profiling

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