Details

Time bar (total: 7.6s)

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

sample162.0ms

Algorithm
intervals
Results
101.0ms111×body1280valid
39.0ms87×body640valid
6.0ms28×body320valid
4.0ms256×pre80true
3.0ms23×body160valid
0.0ms7×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
052579

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.1b
(log (+ 1.0 x))
6.4b
(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))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050031101

prune147.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72678
Fresh000
Picked011
Done000
Total72779

Merged error: 59.3b

Counts
79 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
0.0b
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
6.4b
(log (- 1.0 x))

rewrite25.0ms

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-*l/ associate-/l*
3×associate-*r* pow-prod-down associate-/r* add-log-exp
2×flip3-- div-sub associate-/r/ flip--
1×frac-times frac-2neg flip3-+ associate-*r/ rem-log-exp associate-*l* clear-num *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
9.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
11.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
3.0ms
(log (- 1.0 x))

series18.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
10.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
5.0ms
(log (- 1.0 x))

simplify30.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050861764

prune170.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New87188
Fresh325
Picked101
Done011
Total91495

Merged error: 0.1b

Counts
95 → 4

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
22×add-exp-log add-cbrt-cube
15×times-frac
14×add-sqr-sqrt
13×add-cube-cbrt
11×pow1
9×prod-exp cbrt-unprod
8×distribute-lft-out
5×cbrt-undiv div-exp associate-/l*
4×associate-*l/ log-pow
3×associate-*r* pow-prod-down associate-/r*
2×flip3-+ associate-/r/ flip-+ associate-/l/ add-log-exp
1×frac-times associate-+r- frac-2neg div-sub associate-*r/ associate-*l* clear-num *-commutative div-inv unswap-sqr
Counts
2 → 68
Calls
2 calls:
10.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
17.0ms
(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
10.0ms
(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

simplify44.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051511946

prune164.0ms

Filtered
47 candidates to 74 candidates (-57.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New71374
Fresh022
Picked011
Done011
Total71778

Merged error: 0.1b

Counts
78 → 7

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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*
5×cbrt-undiv div-exp
4×associate-*l* pow-prod-down associate-*l/
3×associate-*r/ associate-/r* associate-/l* add-log-exp
2×sub-neg flip3-+ associate-/r/ *-commutative flip-+ associate-/l/ unswap-sqr
1×distribute-rgt-in frac-times flip3-- frac-2neg distribute-lft-in clear-num flip-- div-inv
Counts
3 → 81
Calls
3 calls:
10.0ms
(* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
10.0ms
(/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
9.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)

series18.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
8.0ms
(/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
3.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)

simplify70.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049631881
149631881

prune185.0ms

Filtered
65 candidates to 90 candidates (-38.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh134
Picked011
Done022
Total90797

Merged error: 0.1b

Counts
97 → 7

regimes83.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03331
13331

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.2s3502×body1280valid
1.1s2474×body640valid
279.0ms1233×body320valid
132.0ms8000×pre80true
78.0ms583×body160valid
13.0ms208×body80valid

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