Details

Time bar (total: 25.3s)

sample8.0s

Algorithm
intervals
Results
131.0ms129×body1280valid
29.0ms65×body640valid
9.0ms40×body320valid
4.0ms256×pre80true
2.0ms19×body160valid
0.0ms3×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.2b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.6b
(log (+ 1.0 x))
5.6b
(log (- 1.0 x))

rewrite13.0ms

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))

simplify50.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0515773
12021724
25002711

prune181.0ms

Filtered
78 candidates to 56 candidates (28.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New72678
Fresh000
Picked101
Done000
Total73679

Merged error: 59.8b

Counts
79 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.6b
(log (- 1.0 x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
83×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
49×*-un-lft-identity
47×add-cube-cbrt
29×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×pow1 div-exp prod-exp add-cbrt-cube
6×pow-to-exp pow-exp
5×log-prod log-pow
4×log-div associate-/r/ associate-/l*
3×flip3-- associate-*r/ associate-*l* associate-/r* flip-- add-log-exp
2×cbrt-undiv div-sub frac-sub cbrt-unprod div-inv
1×frac-2neg flip3-+ rem-log-exp pow-prod-down clear-num *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 163
Calls
3 calls:
19.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
10.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.0ms
(log (- 1.0 x))

series18.0ms

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

simplify104.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010401572
144061408
250011408

prune380.0ms

Filtered
172 candidates to 114 candidates (33.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1711172
Fresh235
Picked101
Done000
Total1744178

Merged error: 0.0b

Counts
178 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
158×add-sqr-sqrt
136×associate-*r*
112×unpow-prod-down
94×*-un-lft-identity
82×add-cube-cbrt
51×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
20×prod-exp
19×div-exp
15×add-cbrt-cube
12×pow-to-exp pow-exp
11×pow1
8×distribute-lft-out--
6×associate-*l* associate-/l*
4×associate-*r/ associate-/r/ log-pow cbrt-unprod difference-of-squares
3×cbrt-undiv associate-/r* div-inv add-log-exp
2×flip3-- pow-prod-down *-commutative frac-sub flip-- associate-/l/
1×frac-2neg flip3-+ div-sub clear-num flip-+
Counts
3 → 266
Calls
3 calls:
21.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
19.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
12.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series19.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
9.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify102.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
08552533
136882253
250012252

prune858.0ms

Filtered
275 candidates to 171 candidates (37.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2741275
Fresh033
Picked011
Done000
Total2745279

Merged error: 0.0b

Counts
279 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log 1.0)))
0.0b
(pow (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
0.1b
(* (+ (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log 1.0))) (pow (log 1.0) 2)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
44.4b
(/ (- (pow (log 1.0) 3) (pow (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)) (* (+ (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log 1.0))) (pow (log 1.0) 2)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
44×*-un-lft-identity
35×unpow-prod-down cube-prod
32×difference-of-squares
29×times-frac associate-/l*
23×flip3-+ flip-+
22×associate-*r/
20×frac-times
18×pow1 distribute-lft-out--
17×sqr-pow
14×add-exp-log associate-/r/ add-cbrt-cube
13×add-cube-cbrt
12×frac-sub
9×log-pow
8×associate-*r*
7×flip3-- flip--
6×associate-*l* associate-*l/
4×distribute-rgt-in distribute-lft-in add-log-exp
3×pow-unpow prod-exp cbrt-unprod
2×difference-cubes cbrt-undiv cube-div sub-neg div-exp pow-prod-down associate--l+ *-commutative associate-/l/ distribute-lft-out unswap-sqr
1×cube-mult pow-to-exp pow-pow frac-2neg unpow3 div-sub pow-exp clear-num associate-/r* div-inv rem-cube-cbrt
Counts
4 → 183
Calls
4 calls:
12.0ms
(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log 1.0)))
4.0ms
(pow (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
21.0ms
(* (+ (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log 1.0))) (pow (log 1.0) 2)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
39.0ms
(/ (- (pow (log 1.0) 3) (pow (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)) (* (+ (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log 1.0))) (pow (log 1.0) 2)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log 1.0)))
4.0ms
(pow (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
16.0ms
(* (+ (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log 1.0))) (pow (log 1.0) 2)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
30.0ms
(/ (- (pow (log 1.0) 3) (pow (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)) (* (+ (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log 1.0))) (pow (log 1.0) 2)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify287.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011087152
150016698

prune1.9s

Filtered
195 candidates to 130 candidates (33.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1950195
Fresh033
Picked011
Done011
Total1955200

Merged error: 0.0b

Counts
200 → 5

regimes39.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01917
11917

end0.0ms

sample12.9s

Algorithm
intervals
Results
3.5s3581×body1280valid
1.1s2433×body640valid
277.0ms1209×body320valid
140.0ms8000×pre80true
76.0ms571×body160valid
12.0ms206×body80valid

Profiling

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