Details

Time bar (total: 4.5s)

sample88.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 50.048816%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
49.0ms109×body1280valid
20.0ms82×body640valid
6.0ms43×body320valid
2.0ms17×body160valid
0.0ms5×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
5.7b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite17.0ms

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:
7.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms
(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)))

simplify139.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0339657
11040623
24497605
35001605

prune142.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New84589
Fresh000
Picked101
Done000
Total85590

Merged error: 0.0b

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

prune15.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done000
Total055

Merged error: 0.0b

Counts
5 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
5.7b
(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.7b
(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.7b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
78×log-prod
60×times-frac
59×add-sqr-sqrt
35×add-cube-cbrt
15×distribute-lft-out
13×add-exp-log
12×distribute-lft-out-- difference-of-squares
8×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod log-pow add-cbrt-cube add-log-exp
3×log-div flip3-+ div-exp flip-+ div-inv
1×pow1/3
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
6.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify137.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
03751218
110441148
244351096
350011094

prune536.0ms

Filtered
89 candidates to 135 candidates (-51.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1332135
Fresh213
Picked011
Done011
Total1355140

Merged error: 0.0b

Counts
140 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

5.3b
(log (/ 1 (sqrt (+ 1.0 eps))))
5.7b
(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.7b
(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.7b
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
120×log-prod
96×times-frac
86×add-sqr-sqrt
56×add-cube-cbrt
32×sqrt-prod
18×add-exp-log distribute-lft-out
15×distribute-lft-out-- difference-of-squares
10×pow1 rem-log-exp
8×associate-/r/ log-pow
5×div-exp
4×log-div flip3-+ sqrt-div add-cbrt-cube flip-+ div-inv add-log-exp
3×pow-flip
1×rec-exp sqrt-pow1 pow1/2 1-exp log-rec inv-pow
Counts
4 → 171
Calls
4 calls:
6.0ms
(log (/ 1 (sqrt (+ 1.0 eps))))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
8.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
8.0ms
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(log (/ 1 (sqrt (+ 1.0 eps))))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))
10.0ms
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))

simplify62.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
07331795
122671714
250021616

prune516.0ms

Filtered
111 candidates to 183 candidates (-64.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1821183
Fresh112
Picked011
Done022
Total1835188

Merged error: 0.0b

Counts
188 → 5

regimes123.0ms

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

sample2.5s

Algorithm
intervals
sampling

Space saved by range analysis: 50.048816%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
1.5s3404×body1280valid
616.0ms2489×body640valid
185.0ms1237×body320valid
63.0ms671×body160valid
8.0ms199×body80valid

Profiling

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