Details

Time bar (total: 8.2s)

sample157.0ms

Algorithm
intervals
Results
93.0ms102×body1280valid
37.0ms87×body640valid
9.0ms37×body320valid
4.0ms256×pre80true
3.0ms24×body160valid
0.0ms6×body80valid

simplify6.0ms

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: 62.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.6b
(log (- 1.0 x))
7.6b
(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))

series211.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
41.0ms
(log (- 1.0 x))
45.0ms
(log (+ 1.0 x))

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0425668
11561624
25001599

prune154.0ms

Filtered
78 candidates to 55 candidates (70.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New74478
Fresh000
Picked101
Done000
Total75479

Merged error: 59.6b

Counts
79 → 4

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)))))
7.6b
(log (- 1.0 x))

rewrite47.0ms

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:
25.0ms
(* 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))

series233.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* 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)))))
42.0ms
(log (- 1.0 x))

simplify102.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09951550
142131389
250011389

prune393.0ms

Filtered
172 candidates to 114 candidates (66.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1711172
Fresh033
Picked101
Done000
Total1724176

Merged error: 0.0b

Counts
176 → 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)))))

rewrite74.0ms

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:
25.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
21.0ms
(* 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)))))

series233.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
55.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
123.0ms
(/ (- (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)))))

simplify104.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08552533
136882254
250012253

prune620.0ms

Filtered
275 candidates to 171 candidates (62.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2750275
Fresh033
Picked011
Done000
Total2754279

Merged error: 0.0b

Counts
279 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x))))
2.6b
(log (- (* 1.0 1.0) (* x x)))
7.6b
(log (- 1.0 x))
7.6b
(log (- 1.0 x))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
36×pow1
35×add-sqr-sqrt
32×times-frac log-pow
22×distribute-lft-out--
21×add-cube-cbrt
14×log-prod
9×add-exp-log
8×log-div associate-/r* difference-of-squares
6×add-cbrt-cube
5×flip3-- flip--
4×associate-/l* add-log-exp
3×rem-log-exp
2×div-sub associate-/r/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 107
Calls
4 calls:
10.0ms
(/ (log (- 1.0 x)) (- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x))))
4.0ms
(log (- (* 1.0 1.0) (* x x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (- 1.0 x))

series415.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(/ (log (- 1.0 x)) (- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x))))
103.0ms
(log (- (* 1.0 1.0) (* x x)))
46.0ms
(log (- 1.0 x))
42.0ms
(log (- 1.0 x))

simplify62.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05891419
122761360
250011357

prune222.0ms

Filtered
119 candidates to 78 candidates (65.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1181119
Fresh022
Picked101
Done011
Total1194123

Merged error: 0.0b

Counts
123 → 4

regimes40.0ms

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
3.1s3395×body1280valid
1.1s2462×body640valid
275.0ms1233×body320valid
128.0ms8000×pre80true
85.0ms668×body160valid
13.0ms242×body80valid