Details

Time bar (total: 9.2s)

analyze1.3s

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
0%50%50%4
3.1%46.8%50%5
4.7%45.3%50%6
5.5%44.5%50%7
5.9%44.1%50%8
6%43.9%50%9
6.1%43.8%50%10
6.2%43.8%50%11
6.2%43.7%50%12
6.2%43.7%50%13
6.2%43.7%50%14

sample160.0ms

Algorithm
intervals
Results
103.0ms113×body1280valid
34.0ms77×body640valid
10.0ms42×body320valid
4.0ms256×pre80true
2.0ms13×body160valid
1.0ms11×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
189

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.7b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.9b
(log (+ 1.0 x))
3.9b
(log (- 1.0 x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
6.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series19.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

simplify80.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049141103
149141103

prune360.0ms

Filtered
55 candidates to 78 candidates (-41.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New71778
Fresh000
Picked011
Done000
Total71879

Merged error: 57.4b

Counts
79 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x)))
2.9b
(log (- (* 1.0 1.0) (* x x)))
3.9b
(log (+ 1.0 x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×times-frac
15×pow1 add-sqr-sqrt add-cube-cbrt
12×log-pow
8×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out difference-of-squares
Counts
3 → 68
Calls
3 calls:
6.0ms
(/ (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x)))
3.0ms
(log (- (* 1.0 1.0) (* x x)))
3.0ms
(log (+ 1.0 x))

series22.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x)))
6.0ms
(log (- (* 1.0 1.0) (* x x)))
3.0ms
(log (+ 1.0 x))

simplify55.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049621355
149621355

prune144.0ms

Filtered
55 candidates to 77 candidates (-40.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New75277
Fresh516
Picked011
Done011
Total80585

Merged error: 0.0b

Counts
85 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (* x (/ x (* 1.0 1.0))))
0.0b
(- (/ (log (- (* 1.0 1.0) (* x x))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0))))))) 1)
0.0b
(/ (log (- (* 1.0 1.0) (* x x))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0)))))))
2.9b
(log (- (* 1.0 1.0) (* x x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-exp-log
20×add-cbrt-cube
19×*-un-lft-identity
15×add-cube-cbrt times-frac
14×pow1
8×prod-exp cbrt-unprod
6×log-div add-log-exp
5×log-pow difference-of-squares
4×log-prod flip3-- div-sub flip-- associate-/l*
3×cbrt-undiv div-exp associate-*l* pow-prod-down associate-/r*
2×associate--l- difference-of-sqr-1 associate-*r/ associate-/r/
1×sub-neg frac-2neg flip3-+ diff-log rem-log-exp associate-*r* clear-num *-commutative flip-+ div-inv distribute-lft-out--
Counts
4 → 93
Calls
4 calls:
8.0ms
(* 1/2 (* x (/ x (* 1.0 1.0))))
14.0ms
(- (/ (log (- (* 1.0 1.0) (* x x))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0))))))) 1)
10.0ms
(/ (log (- (* 1.0 1.0) (* x x))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0)))))))
4.0ms
(log (- (* 1.0 1.0) (* x x)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 1/2 (* x (/ x (* 1.0 1.0))))
9.0ms
(- (/ (log (- (* 1.0 1.0) (* x x))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0))))))) 1)
10.0ms
(/ (log (- (* 1.0 1.0) (* x x))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0)))))))
6.0ms
(log (- (* 1.0 1.0) (* x x)))

simplify38.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
050472712

prune240.0ms

Filtered
78 candidates to 105 candidates (-34.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1041105
Fresh022
Picked101
Done022
Total1055110

Merged error: 0.0b

Counts
110 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (- (log 1.0) (+ (* 1.0 (* x x)) (* 1/2 (/ (pow x 4) (* 1.0 1.0))))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0))))))) 1)
0.0b
(* 1/2 (* x (/ x (* 1.0 1.0))))
0.0b
(+ (* 1.0 (* x x)) (* 1/2 (/ (pow x 4) (* 1.0 1.0))))
28.9b
(/ (- (log 1.0) (+ (* 1.0 (* x x)) (* 1/2 (/ (pow x 4) (* 1.0 1.0))))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0)))))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
32×*-un-lft-identity
21×times-frac
20×add-exp-log add-cbrt-cube
16×add-cube-cbrt
13×pow1
9×distribute-lft-out--
8×prod-exp cbrt-unprod add-log-exp difference-of-squares
6×associate-/l*
4×log-pow
3×cbrt-undiv div-exp associate-*l* pow-prod-down associate-/r*
2×flip3-- flip3-+ difference-of-sqr-1 div-sub associate-*r/ associate-/r/ flip-- flip-+ associate-/l/
1×+-commutative associate--l- sub-neg frac-2neg diff-log associate-*r* clear-num sum-log *-commutative div-inv
Counts
4 → 97
Calls
4 calls:
18.0ms
(- (/ (- (log 1.0) (+ (* 1.0 (* x x)) (* 1/2 (/ (pow x 4) (* 1.0 1.0))))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0))))))) 1)
8.0ms
(* 1/2 (* x (/ x (* 1.0 1.0))))
5.0ms
(+ (* 1.0 (* x x)) (* 1/2 (/ (pow x 4) (* 1.0 1.0))))
13.0ms
(/ (- (log 1.0) (+ (* 1.0 (* x x)) (* 1/2 (/ (pow x 4) (* 1.0 1.0))))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0)))))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (/ (- (log 1.0) (+ (* 1.0 (* x x)) (* 1/2 (/ (pow x 4) (* 1.0 1.0))))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0))))))) 1)
3.0ms
(* 1/2 (* x (/ x (* 1.0 1.0))))
9.0ms
(+ (* 1.0 (* x x)) (* 1/2 (/ (pow x 4) (* 1.0 1.0))))
10.0ms
(/ (- (log 1.0) (+ (* 1.0 (* x x)) (* 1/2 (/ (pow x 4) (* 1.0 1.0))))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* x (/ x (* 1.0 1.0)))))))

simplify41.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
050133742

prune295.0ms

Filtered
76 candidates to 109 candidates (-43.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh022
Picked011
Done022
Total1095114

Merged error: 0.0b

Counts
114 → 5

regimes69.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03037
13037

end0.0ms

analyze1.3s

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
0%50%50%4
3.1%46.8%50%5
4.7%45.3%50%6
5.5%44.5%50%7
5.9%44.1%50%8
6%43.9%50%9
6.1%43.8%50%10
6.2%43.8%50%11
6.2%43.7%50%12
6.2%43.7%50%13
6.2%43.7%50%14

sample4.9s

Algorithm
intervals
Results
3.1s3374×body1280valid
1.1s2546×body640valid
275.0ms1210×body320valid
134.0ms8000×pre80true
83.0ms622×body160valid
14.0ms248×body80valid

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