Details

Time bar (total: 4.2s)

sample94.0ms

Algorithm
intervals
Results
52.0ms115×body1280valid
15.0ms62×body640valid
7.0ms46×body320valid
7.0ms241×body80nan
2.0ms22×body160valid
0.0ms11×body80valid

simplify5.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
7.6b
(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:
7.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms
(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)))

simplify131.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0339657
11040623
24497605
35001605

prune146.0ms

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

prune12.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New000
Fresh055
Picked011
Done000
Total066

Merged error: 0.2b

Counts
6 → 6

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)))
7.4b
(log (- 1.0 eps))
7.5b
(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))

rewrite41.0ms

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:
22.0ms
(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)))
3.0ms
(log (- 1.0 eps))
7.0ms
(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps)))
5.0ms
(log (- 1.0 eps))
8.0ms
(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))

simplify75.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05511129
117481021
25002927

prune197.0ms

Filtered
83 candidates to 111 candidates (-33.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1074111
Fresh224
Picked011
Done011
Total1098117

Merged error: 0.2b

Counts
117 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (+ (log (- (pow 1.0 3) (pow eps 3))) 0) (log (+ 1.0 eps))) (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))))
2.6b
(log (- (pow 1.0 3) (pow eps 3)))
7.7b
(log (+ 1.0 eps))
7.7b
(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
35×log-prod
34×add-sqr-sqrt
31×distribute-lft-out--
24×pow1
20×log-pow
17×difference-of-squares
12×unpow-prod-down cube-prod
10×log-div
distribute-lft-out
add-cube-cbrt sqr-pow
add-exp-log add-log-exp
associate--l+
diff-log
flip3-+ add-cbrt-cube flip-+ associate--r-
rem-log-exp associate--r+
sub-neg flip3-- flip--
difference-cubes associate--l- sum-log
Counts
4 → 105
Calls
4 calls:
16.0ms
(- (- (+ (log (- (pow 1.0 3) (pow eps 3))) 0) (log (+ 1.0 eps))) (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))))
11.0ms
(log (- (pow 1.0 3) (pow eps 3)))
3.0ms
(log (+ 1.0 eps))
5.0ms
(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (- (+ (log (- (pow 1.0 3) (pow eps 3))) 0) (log (+ 1.0 eps))) (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))))
13.0ms
(log (- (pow 1.0 3) (pow eps 3)))
3.0ms
(log (+ 1.0 eps))
4.0ms
(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))

simplify56.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05751344
120261251
250011237

prune262.0ms

Filtered
79 candidates to 117 candidates (-48.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1152117
Fresh055
Picked101
Done022
Total1169125

Merged error: 0.2b

Counts
125 → 9

regimes93.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b 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
1.5s3450×body1280valid
617.0ms2520×body640valid
212.0ms7787×body80nan
177.0ms1216×body320valid
54.0ms606×body160valid
9.0ms208×body80valid

Profiling

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