Details

Time bar (total: 5.5s)

sample87.0ms

Algorithm
intervals
Results
47.0ms111×body1280valid
17.0ms78×body640valid
6.0ms280×body80nan
4.0ms35×body320valid
2.0ms24×body160valid
0.0ms8×body80valid

simplify7.0ms

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: 58.2b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
6.6b
(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:
8.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
135.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify134.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0339657
11040625
24497607
35001607

prune156.0ms

Filtered
89 candidates to 59 candidates (66.3%)
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

prune10.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New000
Fresh055
Picked011
Done000
Total066

Merged error: 0.2b

Counts
6 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
0.0b
(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
0.1b
(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
6.6b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
49×add-sqr-sqrt
40×times-frac
31×add-cube-cbrt
26×log-prod
14×cbrt-prod
11×distribute-lft-out
10×pow1 add-exp-log
9×distribute-lft-out-- difference-of-squares
8×unpow-prod-down cube-prod
7×add-cbrt-cube
5×log-pow associate-/l*
4×associate-/r* associate-/r/ add-log-exp
3×pow-unpow
2×cube-mult flip3-+ unpow3 div-exp rem-log-exp flip-+ div-inv associate-/l/ sqr-pow
1×cbrt-undiv pow-to-exp log-div flip3-- pow-pow frac-2neg pow1/3 div-sub pow-exp clear-num flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 131
Calls
4 calls:
8.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms
(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
3.0ms
(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series454.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
162.0ms
(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
134.0ms
(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
125.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify56.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04911077
118261025
250021018

prune229.0ms

Filtered
143 candidates to 84 candidates (58.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1403143
Fresh134
Picked011
Done011
Total1418149

Merged error: 0.2b

Counts
149 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
0.0b
(+ (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
6.7b
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
6.8b
(log (/ 1 (sqrt (+ 1.0 eps))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
180×*-un-lft-identity
147×times-frac
136×log-prod
132×add-sqr-sqrt
88×add-cube-cbrt sqrt-prod
41×associate-+r+
27×associate-+l+
26×distribute-lft-out
22×distribute-lft-out-- difference-of-squares
14×add-exp-log
12×pow1
10×sqrt-div associate-/r/ log-pow
7×associate-/r*
6×flip3-+ rem-log-exp add-cbrt-cube flip-+
5×div-inv associate-/l*
4×log-div div-exp add-log-exp
3×pow-flip
2×associate-/l/
1×cbrt-undiv +-commutative associate-+l- associate-+r- rec-exp flip3-- frac-2neg sqrt-pow1 pow1/2 1-exp div-sub log-rec clear-num sum-log flip-- inv-pow
Counts
4 → 246
Calls
4 calls:
9.0ms
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
21.0ms
(+ (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
8.0ms
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
7.0ms
(log (/ 1 (sqrt (+ 1.0 eps))))

series777.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
362.0ms
(+ (log (/ 1 (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
208.0ms
(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
117.0ms
(log (/ 1 (sqrt (+ 1.0 eps))))

simplify80.0ms

Algorithm
egg-herbie
Counts
258 → 258
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
08362731
129852572
250012435

prune435.0ms

Filtered
258 candidates to 152 candidates (58.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2553258
Fresh145
Picked101
Done112
Total2588266

Merged error: 0.2b

Counts
266 → 8

regimes82.0ms

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
0159
1159

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.4s3448×body1280valid
562.0ms2476×body640valid
178.0ms7959×body80nan
163.0ms1243×body320valid
48.0ms615×body160valid
8.0ms218×body80valid