Details

Time bar (total: 4.4s)

sample97.0ms

Algorithm
intervals
Results
53.0ms120×body1280valid
18.0ms73×body640valid
7.0ms262×body80nan
5.0ms37×body320valid
2.0ms18×body160valid
0.0ms8×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
4.7b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite19.0ms

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))
7.0ms
(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)))

simplify132.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0339657
11040623
24497605
35001605

prune149.0ms

Filtered
89 candidates to 59 candidates (33.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New83689
Fresh000
Picked101
Done000
Total84690

Merged error: 0.3b

Counts
90 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×*-un-lft-identity add-log-exp
4×difference-of-squares
2×diff-log distribute-lft-out--
1×pow1 add-exp-log add-cube-cbrt sub-neg unpow-prod-down flip3-- sum-log add-cbrt-cube flip-- distribute-lft-out associate--r+ unpow2 sqr-pow
Counts
1 → 20
Calls
1 calls:
24.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify55.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0123209
1382192
21701192
35001192

prune53.0ms

Filtered
23 candidates to 14 candidates (39.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New23023
Fresh055
Picked011
Done000
Total23629

Merged error: 0.3b

Counts
29 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
4.8b
(log (- 1.0 eps))
4.8b
(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))

series17.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms
(log (- 1.0 eps))
3.0ms
(log (+ 1.0 eps))

simplify80.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0323439
1887414
23343392
35002392

prune104.0ms

Filtered
70 candidates to 53 candidates (24.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New69170
Fresh314
Picked101
Done101
Total74276

Merged error: 0.0b

Counts
76 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.1b
(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
201×associate-*r*
171×add-sqr-sqrt
128×unpow-prod-down
106×add-cube-cbrt *-un-lft-identity
80×cube-prod
52×sqr-pow
48×add-exp-log
27×unswap-sqr
24×cube-mult unpow3
20×prod-exp
18×div-exp
12×pow-to-exp pow-exp add-cbrt-cube
6×pow1 associate-*l*
4×cbrt-unprod
2×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
2 → 278
Calls
2 calls:
16.0ms
(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
37.0ms
(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
6.0ms
(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

simplify48.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010501560
150011380

prune524.0ms

Filtered
284 candidates to 148 candidates (47.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2840284
Fresh011
Picked011
Done000
Total2842286

Merged error: 0.0b

Counts
286 → 2

regimes27.0ms

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

sample2.9s

Algorithm
intervals
Results
1.5s3414×body1280valid
622.0ms2524×body640valid
222.0ms8169×body80nan
183.0ms1258×body320valid
53.0ms598×body160valid
8.0ms206×body80valid

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