Details

Time bar (total: 8.5s)

sample165.0ms

Algorithm
intervals
Results
109.0ms120×body1280valid
29.0ms66×body640valid
10.0ms45×body320valid
5.0ms256×pre80true
2.0ms18×body160valid
0.0ms7×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 (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.0b
(log (+ 1.0 x))
6.3b
(log (- 1.0 x))

rewrite19.0ms

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:
11.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series213.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
47.0ms
(log (+ 1.0 x))
43.0ms
(log (- 1.0 x))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0425668
11561624
25001599

prune175.0ms

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: 59.2b

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)))))
6.3b
(log (- 1.0 x))

rewrite45.0ms

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:
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
11.0ms
(/ (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))

series230.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
139.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
42.0ms
(log (- 1.0 x))

simplify112.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09951550
142131389
250011389

prune400.0ms

Filtered
172 candidates to 114 candidates (66.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1711172
Fresh145
Picked101
Done000
Total1735178

Merged error: 0.0b

Counts
178 → 5

localize13.0ms

Local error

Found 4 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
(+ (* 1.0 x) (* 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)))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
159×add-sqr-sqrt
136×associate-*r*
112×unpow-prod-down
95×*-un-lft-identity
83×add-cube-cbrt
52×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
20×prod-exp
19×div-exp
16×add-cbrt-cube
12×pow1 pow-to-exp pow-exp
8×distribute-lft-out--
6×associate-*l* associate-/l* add-log-exp
4×associate-*r/ associate-/r/ log-pow cbrt-unprod difference-of-squares
3×cbrt-undiv associate-/r* div-inv
2×flip3-- flip3-+ pow-prod-down *-commutative frac-sub flip-- flip-+ associate-/l/
1×+-commutative frac-2neg div-sub clear-num sum-log
Counts
4 → 277
Calls
4 calls:
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
4.0ms
(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
13.0ms
(/ (- (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)))))

series333.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
54.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
99.0ms
(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
126.0ms
(/ (- (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)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08962664
138602370
250022370

prune645.0ms

Filtered
289 candidates to 182 candidates (63.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2890289
Fresh044
Picked011
Done000
Total2895294

Merged error: 0.0b

Counts
294 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
1.5b
(log (+ (pow 1.0 3) (pow x 3)))
6.3b
(log (- 1.0 x))
6.3b
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
36×pow1
33×add-sqr-sqrt
32×times-frac log-pow
21×add-cube-cbrt distribute-lft-out--
17×log-prod
9×add-exp-log
8×log-div associate-/r*
6×add-cbrt-cube difference-of-squares
5×distribute-lft-out
4×unpow-prod-down cube-prod associate-/l* add-log-exp
3×flip3-- rem-log-exp flip--
2×flip3-+ div-sub associate-/r/ flip-+
1×cbrt-undiv frac-2neg div-exp clear-num sum-cubes div-inv
Counts
4 → 110
Calls
4 calls:
9.0ms
(/ (log (- 1.0 x)) (- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
10.0ms
(log (+ (pow 1.0 3) (pow x 3)))
3.0ms
(log (- 1.0 x))
6.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series658.0ms

Counts
4 → 12
Calls
4 calls:
286.0ms
(/ (log (- 1.0 x)) (- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
253.0ms
(log (+ (pow 1.0 3) (pow x 3)))
48.0ms
(log (- 1.0 x))
69.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify80.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06721844
126711753
250021752

prune328.0ms

Filtered
122 candidates to 79 candidates (64.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh033
Picked011
Done011
Total1225127

Merged error: 0.0b

Counts
127 → 5

regimes26.0ms

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
3.0s3382×body1280valid
1.1s2436×body640valid
293.0ms1313×body320valid
134.0ms8000×pre80true
82.0ms644×body160valid
13.0ms225×body80valid

Profiling

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