Details

Time bar (total: 13.1s)

sample169.0ms

Algorithm
intervals
Results
101.0ms108×body1280valid
41.0ms85×body640valid
8.0ms37×body320valid
4.0ms256×pre80true
2.0ms19×body160valid
0.0ms7×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.1b

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))
5.7b
(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:
5.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series207.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
44.0ms
(log (+ 1.0 x))
42.0ms
(log (- 1.0 x))

simplify50.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0425668
11561624
25001599

prune220.0ms

Filtered
78 candidates to 55 candidates (70.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New72678
Fresh000
Picked101
Done000
Total73679

Merged error: 58.9b

Counts
79 → 6

localize14.0ms

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)))))
5.7b
(log (- 1.0 x))

rewrite38.0ms

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:
18.0ms
(* 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))

series231.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
137.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
46.0ms
(log (- 1.0 x))

simplify104.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09951550
142131389
250011389

prune532.0ms

Filtered
172 candidates to 114 candidates (66.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1711172
Fresh235
Picked101
Done000
Total1744178

Merged error: 0.0b

Counts
178 → 4

localize17.0ms

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:
19.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
18.0ms
(* 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)))))

series413.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
52.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
312.0ms
(/ (- (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)))))

simplify103.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08552669
141522249
250022249

prune771.0ms

Filtered
275 candidates to 171 candidates (62.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2741275
Fresh033
Picked011
Done000
Total2745279

Merged error: 0.0b

Counts
279 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.1b
(* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
10.3b
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3)))
31.8b
(* (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3))) (+ (* (+ (* 1.0 x) (log 1.0)) (+ (* 1.0 x) (log 1.0))) (+ (* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
811×associate-*r/
574×add-exp-log
512×frac-add
453×frac-times
364×prod-exp
322×flip3-+ flip-+
248×associate-*l/
236×add-sqr-sqrt
209×div-exp
157×times-frac
154×*-un-lft-identity
138×pow-to-exp pow-exp
131×difference-of-squares
90×associate-*l*
78×sqr-pow
77×pow1
67×distribute-lft-out--
56×add-cbrt-cube
47×add-cube-cbrt
28×cbrt-unprod
27×log-pow
26×unpow-prod-down cube-prod
21×pow-prod-down
13×difference-cubes associate-/r*
9×cbrt-undiv
8×cube-div associate-/r/
6×associate-/l*
5×associate-*r*
4×pow-sqr pow-prod-up frac-sub add-log-exp
3×flip3-- *-commutative flip--
2×pow-plus div-inv associate-/l/ unswap-sqr
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in div-sub swap-sqr clear-num
Counts
4 → 691
Calls
4 calls:
15.0ms
(* (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
24.0ms
(* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
20.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3)))
79.0ms
(* (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3))) (+ (* (+ (* 1.0 x) (log 1.0)) (+ (* 1.0 x) (log 1.0))) (+ (* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

series865.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(* (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
76.0ms
(* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
195.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3)))
321.0ms
(* (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3))) (+ (* (+ (* 1.0 x) (log 1.0)) (+ (* 1.0 x) (log 1.0))) (+ (* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

simplify348.0ms

Algorithm
egg-herbie
Counts
703 → 703
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
0500238180

prune3.8s

Filtered
703 candidates to 474 candidates (67.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New7030703
Fresh033
Picked011
Done011
Total7035708

Merged error: 0.0b

Counts
708 → 5

regimes38.0ms

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 (0.0ms)

IterNodesCost
01917
11917

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.1s3440×body1280valid
1.1s2488×body640valid
277.0ms1259×body320valid
115.0ms8000×pre80true
76.0ms599×body160valid
11.0ms214×body80valid

Profiling

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