Details

Time bar (total: 5.1s)

sample96.0ms

Algorithm
intervals
Results
55.0ms124×body1280valid
18.0ms74×body640valid
6.0ms222×body80nan
5.0ms38×body320valid
1.0ms15×body160valid
0.0ms5×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: 58.8b

Counts
2 → 1

localize5.0ms

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)))

rewrite21.0ms

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:
11.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
121.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify137.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
0354672
11096638
24786623
35001622

prune154.0ms

Filtered
93 candidates to 63 candidates (67.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh000
Picked101
Done000
Total91394

Merged error: 0.2b

Counts
94 → 3

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

prune5.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done000
Total033

Merged error: 0.2b

Counts
3 → 3

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))

rewrite35.0ms

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:
12.0ms
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
6.0ms
(/ 1 (+ 1.0 eps))
5.0ms
(log (/ 1 (+ 1.0 eps)))
7.0ms
(log (- 1.0 eps))

series326.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
29.0ms
(/ 1 (+ 1.0 eps))
74.0ms
(log (/ 1 (+ 1.0 eps)))
42.0ms
(log (- 1.0 eps))

simplify47.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0495892
11641793
25002705

prune226.0ms

Filtered
154 candidates to 98 candidates (63.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1513154
Fresh101
Picked011
Done011
Total1525157

Merged error: 0.1b

Counts
157 → 5

localize18.0ms

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)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
108×add-sqr-sqrt
106×*-un-lft-identity
72×add-cube-cbrt
68×associate-*r*
56×unpow-prod-down
39×log-prod
36×add-exp-log
24×unpow2 sqr-pow
18×pow1 associate-+r+
17×associate-+l+ unswap-sqr
16×distribute-lft-out
13×div-exp
12×prod-diff log-pow
11×add-cbrt-cube
10×prod-exp
8×add-log-exp
6×pow-to-exp fma-def pow-exp associate-/r/ distribute-lft-out--
4×expm1-log1p-u flip3-+ rem-log-exp associate-/r* sum-log flip-+ log1p-expm1-u div-inv
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 difference-of-squares
Counts
4 → 253
Calls
4 calls:
5.0ms
(/ 1 (+ 1.0 eps))
20.0ms
(* 1/2 (/ (pow eps 2) (pow 1.0 2)))
23.0ms
(+ (- (log 1.0) (+ (* 1/2 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (log (/ 1 (+ 1.0 eps))))
5.0ms
(log (/ 1 (+ 1.0 eps)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 1 (+ 1.0 eps))
53.0ms
(* 1/2 (/ (pow eps 2) (pow 1.0 2)))
82.0ms
(+ (- (log 1.0) (+ (* 1/2 (/ (pow eps 2) (pow 1.0 2))) (* 1.0 eps))) (log (/ 1 (+ 1.0 eps))))
72.0ms
(log (/ 1 (+ 1.0 eps)))

simplify112.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
010462165
145791713
250011700

prune569.0ms

Filtered
265 candidates to 170 candidates (64.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2641265
Fresh022
Picked101
Done022
Total2655270

Merged error: 0.1b

Counts
270 → 5

regimes24.0ms

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
0138
1138

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s3427×body1280valid
620.0ms2524×body640valid
218.0ms8036×body80nan
184.0ms1247×body320valid
52.0ms587×body160valid
9.0ms215×body80valid