Details

Time bar (total: 5.2s)

sample99.0ms

Algorithm
intervals
Results
50.0ms105×body1280valid
22.0ms85×body640valid
8.0ms294×body80nan
5.0ms32×body320valid
2.0ms25×body160valid
0.0ms9×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 57.6b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
5.8b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite18.0ms

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×expm1-log1p-u flip3-+ div-exp rem-log-exp flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 87
Calls
2 calls:
8.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series155.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
124.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0354672
11096638
24786623
35001622

prune173.0ms

Filtered
93 candidates to 63 candidates (67.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New87693
Fresh000
Picked101
Done000
Total88694

Merged error: 0.3b

Counts
94 → 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

prune9.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New000
Fresh055
Picked011
Done000
Total066

Merged error: 0.3b

Counts
6 → 6

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))
5.9b
(log (/ 1 (+ 1.0 eps)))
5.9b
(log (- 1.0 eps))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
46×log-prod
36×add-sqr-sqrt times-frac
32×add-cube-cbrt
18×associate-+r+
14×add-exp-log distribute-lft-out
13×pow1
9×log-pow
6×log-div associate-/r/ add-cbrt-cube
5×associate-+l+ rem-log-exp
4×expm1-log1p-u fma-def flip3-+ div-exp associate-/r* flip-+ log1p-expm1-u 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 → 142
Calls
4 calls:
14.0ms
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
5.0ms
(/ 1 (+ 1.0 eps))
5.0ms
(log (/ 1 (+ 1.0 eps)))
4.0ms
(log (- 1.0 eps))

series330.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
23.0ms
(/ 1 (+ 1.0 eps))
74.0ms
(log (/ 1 (+ 1.0 eps)))
42.0ms
(log (- 1.0 eps))

simplify48.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0495892
11641793
25002705

prune426.0ms

Filtered
154 candidates to 97 candidates (63.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1513154
Fresh134
Picked101
Done011
Total1537160

Merged error: 0.3b

Counts
160 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (sqrt (- 1.0 eps))) (- (log (sqrt (- 1.0 eps))) (log (+ 1.0 eps))))
5.9b
(log (+ 1.0 eps))
6.0b
(log (sqrt (- 1.0 eps)))
6.0b
(log (sqrt (- 1.0 eps)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
41×log-pow
38×pow1
36×associate-+r+ log-prod
32×add-sqr-sqrt
24×add-cube-cbrt prod-diff
20×sqrt-prod
12×distribute-lft-out--
11×distribute-lft-out
10×log-div
8×associate-+l+ associate--l+
7×add-exp-log sqrt-pow1 pow1/2
6×fma-def sqrt-div
5×add-log-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u difference-of-squares
3×flip3-- flip3-+ rem-log-exp flip-- flip-+
2×associate-+l- sum-log associate--r-
1×+-commutative associate-+r- sub-neg diff-log
Counts
4 → 140
Calls
4 calls:
21.0ms
(+ (log (sqrt (- 1.0 eps))) (- (log (sqrt (- 1.0 eps))) (log (+ 1.0 eps))))
3.0ms
(log (+ 1.0 eps))
4.0ms
(log (sqrt (- 1.0 eps)))
5.0ms
(log (sqrt (- 1.0 eps)))

series372.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(+ (log (sqrt (- 1.0 eps))) (- (log (sqrt (- 1.0 eps))) (log (+ 1.0 eps))))
42.0ms
(log (+ 1.0 eps))
82.0ms
(log (sqrt (- 1.0 eps)))
82.0ms
(log (sqrt (- 1.0 eps)))

simplify50.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04931330
114221133
250011004

prune284.0ms

Filtered
152 candidates to 97 candidates (63.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1484152
Fresh235
Picked101
Done011
Total1518159

Merged error: 0.2b

Counts
159 → 8

regimes37.0ms

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
0138
1138

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s3416×body1280valid
646.0ms2466×body640valid
229.0ms7922×body80nan
196.0ms1238×body320valid
66.0ms675×body160valid
9.0ms205×body80valid

Profiling

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