Details

Time bar (total: 43.0s)

sample48.0ms

Algorithm
intervals
Results
15.0ms38×body320valid
14.0ms58×body640valid
8.0ms137×body80valid
3.0ms23×body160valid

simplify12.0ms

Counts
1 → 1
Iterations
IterNodes
316
216
113
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))
2.8b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
72×add-sqr-sqrt
69×times-frac
32×add-cube-cbrt
27×distribute-lft-out--
17×difference-of-squares
11×associate-/r* add-exp-log
10×distribute-lft-out
7×add-cbrt-cube
6×associate-/r/ div-inv associate-/l*
5×pow1 add-log-exp
4×difference-of-sqr-1 div-exp
3×insert-posit16 flip--
2×cbrt-undiv rec-exp clear-num frac-2neg flip3-- 1-exp flip-+ pow-flip inv-pow
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 128
Calls
3 calls:
10.0ms
(/ 1 (- x 1))
8.0ms
(/ 1 (+ x 1))
39.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ 1 (- x 1))
14.0ms
(/ 1 (+ x 1))
98.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify12.7s

Counts
137 → 137
Iterations
IterNodes
32463
2936
1390
0185

prune705.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (+ x -2) x) (+ -1 (* x x)))
1.9b
(- (+ x -2) x)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
23×add-sqr-sqrt
18×times-frac
13×add-cube-cbrt
10×distribute-lft-out--
7×add-log-exp
6×associate-/l*
5×distribute-lft-out difference-of-squares
4×add-cbrt-cube add-exp-log
3×associate-/r*
2×pow1 flip3-- diff-log associate-/r/ insert-posit16 flip-- associate-/l/
1×cbrt-undiv clear-num sum-log sub-neg frac-2neg flip3-+ div-sub div-exp associate--l+ flip-+ div-inv
Counts
2 → 63
Calls
2 calls:
60.0ms
(/ (- (+ x -2) x) (+ -1 (* x x)))
42.0ms
(- (+ x -2) x)

series54.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- (+ x -2) x) (+ -1 (* x x)))
12.0ms
(- (+ x -2) x)

simplify1.8s

Counts
69 → 69
Iterations
IterNodes
33601
2916
1295
0117

prune346.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 2 (- 1 (* x x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity times-frac
11×add-cube-cbrt
8×difference-of-squares
5×associate-/r*
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-exp insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 38
Calls
1 calls:
13.0ms
(/ 2 (- 1 (* x x)))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ 2 (- 1 (* x x)))

simplify2.5s

Counts
41 → 41
Iterations
IterNodes
44258
31241
2483
1198
098

prune185.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2 (+ 1 x))
0.1b
(/ (/ 2 (+ 1 x)) (- 1 x))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
193×*-un-lft-identity
143×add-sqr-sqrt
86×add-cube-cbrt
38×difference-of-squares
25×distribute-lft-out
21×associate-/l*
19×distribute-lft-out--
18×associate-/r/
10×associate-/r*
9×add-cbrt-cube add-exp-log div-inv
8×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 184
Calls
2 calls:
14.0ms
(/ 2 (+ 1 x))
34.0ms
(/ (/ 2 (+ 1 x)) (- 1 x))

series90.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ 2 (+ 1 x))
73.0ms
(/ (/ 2 (+ 1 x)) (- 1 x))

simplify21.1s

Counts
190 → 190
Iterations
IterNodes
34961
21684
1676
0280

prune971.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample1.9s

Algorithm
intervals
Results
991.0ms1897×body640valid
412.0ms4236×body80valid
271.0ms1232×body320valid
143.0ms635×body160valid