Details

Time bar (total: 4.0s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample99.0ms

Algorithm
intervals
Results
54.0ms97×body1280valid
27.0ms90×body640valid
8.0ms41×body320valid
2.0ms21×body160valid
0.0ms7×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04812
14812

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 58.2b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.9b
(log (/ (+ 1.0 x) (- 1.0 x)))

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-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049181106
149181106

prune153.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 0.2b

Counts
89 → 6

localize12.0ms

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

prune17.0ms

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 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
0.0b
(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
0.1b
(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
5.9b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite23.0ms

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×associate-/r* log-pow
4×associate-/r/ associate-/l* 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 pow-pow frac-2neg flip3-+ pow1/3 pow-exp clear-num rem-cbrt-cube flip-+ rem-cube-cbrt
Counts
4 → 130
Calls
4 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
2.0ms
(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
2.0ms
(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
5.0ms
(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049161817
149161817

prune212.0ms

Filtered
84 candidates to 142 candidates (-69.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1411142
Fresh044
Picked011
Done011
Total1417148

Merged error: 0.2b

Counts
148 → 7

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0))))))
0.0b
(- x (* (/ x 1.0) (/ x 1.0)))
39.2b
(cbrt (pow (+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0)))))) 3))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-log-exp
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
3×pow1 add-exp-log unpow-prod-down cube-prod sum-log add-cbrt-cube
2×cube-div cbrt-div flip3-+ flip-+
1×+-commutative cube-mult sub-neg associate-+r+ flip3-- pow1/3 diff-log unpow3 flip-- rem-cbrt-cube difference-of-squares sqr-pow
Counts
3 → 48
Calls
3 calls:
8.0ms
(+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0))))))
3.0ms
(- x (* (/ x 1.0) (/ x 1.0)))
7.0ms
(cbrt (pow (+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0)))))) 3))

series37.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0))))))
6.0ms
(- x (* (/ x 1.0) (/ x 1.0)))
17.0ms
(cbrt (pow (+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0)))))) 3))

simplify35.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
051151196

prune101.0ms

Filtered
40 candidates to 57 candidates (-42.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New57057
Fresh044
Picked011
Done022
Total57764

Merged error: 0.2b

Counts
64 → 7

regimes141.0ms

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
01820
11820

end0.0ms

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample2.9s

Algorithm
intervals
Results
1.7s3428×body1280valid
726.0ms2468×body640valid
237.0ms1276×body320valid
71.0ms634×body160valid
10.0ms194×body80valid

Profiling

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