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

sample155.0ms

Algorithm
intervals
Results
94.0ms105×body1280valid
37.0ms85×body640valid
9.0ms39×body320valid
4.0ms256×pre80true
2.0ms16×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: 60.9b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.0b
(log (+ 1.0 x))
5.3b
(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))

series20.0ms

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))

simplify82.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049141103
149141103

prune163.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New69978
Fresh000
Picked011
Done000
Total691079

Merged error: 58.5b

Counts
79 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
0.0b
(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
5.3b
(log (- 1.0 x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×add-cbrt-cube
17×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×pow1
12×times-frac
9×prod-exp cbrt-unprod
5×cbrt-undiv log-prod div-exp log-pow
4×log-div associate-*r/ associate-/l*
3×associate-*l* pow-prod-down associate-/r* add-log-exp
2×flip3-- div-sub associate-/r/ flip--
1×frac-times frac-2neg flip3-+ rem-log-exp associate-*r* associate-*l/ clear-num *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
9.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
9.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
3.0ms
(log (- 1.0 x))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
10.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
3.0ms
(log (- 1.0 x))

simplify30.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
052461759

prune170.0ms

Filtered
62 candidates to 88 candidates (-41.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New87188
Fresh448
Picked101
Done101
Total93598

Merged error: 0.1b

Counts
98 → 5

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
23×add-sqr-sqrt
22×add-exp-log add-cbrt-cube
18×times-frac
14×add-cube-cbrt
11×pow1
9×prod-exp cbrt-unprod
8×distribute-lft-out--
6×associate-/l*
5×cbrt-undiv div-exp
4×associate-*r/ log-pow difference-of-squares
3×associate-*l* pow-prod-down associate-/r*
2×associate-/r/ associate-/l/ add-log-exp
1×frac-times flip3-- frac-2neg flip3-+ div-sub associate-*r* associate-*l/ clear-num *-commutative flip-- flip-+ div-inv unswap-sqr
Counts
2 → 72
Calls
2 calls:
9.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
12.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* x (/ (* x (/ 1/2 1.0)) 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

series11.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
8.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* x (/ (* x (/ 1/2 1.0)) 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051992167

prune185.0ms

Filtered
52 candidates to 78 candidates (-50.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76278
Fresh044
Picked011
Done000
Total76783

Merged error: 0.1b

Counts
83 → 7

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
10×pow1 prod-exp cbrt-unprod
9×times-frac
6×associate-*r/ associate-*l*
5×cbrt-undiv div-exp
4×associate-*r* pow-prod-down
3×associate-/r* associate-/l* add-log-exp
2×flip3-+ associate-/r/ *-commutative flip-+ associate-/l/ unswap-sqr
1×distribute-rgt-in frac-times flip3-- frac-2neg distribute-lft-in div-sub associate-*l/ clear-num flip-- div-inv
Counts
3 → 82
Calls
3 calls:
9.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
5.0ms
(* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))
9.0ms
(/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
5.0ms
(* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))
8.0ms
(/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049771917
149771917

prune178.0ms

Filtered
63 candidates to 91 candidates (-44.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh055
Picked011
Done011
Total90898

Merged error: 0.1b

Counts
98 → 8

regimes51.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02231
12231

end0.0ms

analyze1.7s

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
3.1s3395×body1280valid
1.1s2459×body640valid
310.0ms1326×body320valid
139.0ms8000×pre80true
82.0ms605×body160valid
12.0ms215×body80valid

Profiling

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