Details

Time bar (total: 32.7s)

sample78.0ms

Algorithm
intervals
Results
26.0ms54×body1280valid
20.0ms50×body640valid
13.0ms125×body80valid
5.0ms16×body320valid
2.0ms11×body160valid

simplify231.0ms

Counts
1 → 1
Iterations
IterNodes
17206
16206
15204
14192
13143
12112
1199
1090
968
851
740
630
524
421
320
217
113
07

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 1) (- x 1))
0.0b
(/ x (+ x 1))
3.0b
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
110×*-un-lft-identity
60×times-frac
57×add-sqr-sqrt
25×add-cube-cbrt
20×distribute-lft-out
18×distribute-lft-out--
14×difference-of-squares
11×associate-/r*
7×add-cbrt-cube add-exp-log associate-/l*
5×difference-of-sqr-1 add-log-exp
4×associate-/r/
3×pow1 insert-posit16
2×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- associate-/l/
1×sub-neg diff-log frac-sub
Counts
3 → 117
Calls
3 calls:
28.0ms
(/ (+ x 1) (- x 1))
8.0ms
(/ x (+ x 1))
53.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (+ x 1) (- x 1))
31.0ms
(/ x (+ x 1))
99.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify1.8s

Counts
126 → 126
Iterations
IterNodes
33095
2992
1383
0180

prune297.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ -1 (* x x)) (/ 3 x))
0.1b
(/ (/ 3 x) (* x x))
0.5b
(/ -1 (* x x))
7.0b
(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
41×times-frac
37×add-sqr-sqrt
27×*-un-lft-identity
21×add-cbrt-cube add-exp-log
20×add-cube-cbrt
16×associate-/l*
11×add-log-exp
8×cbrt-undiv div-exp
7×difference-of-squares
5×frac-sub
4×pow1 diff-log insert-posit16 div-inv distribute-lft-out--
3×sub-neg flip3-- prod-exp cbrt-unprod flip--
2×clear-num associate-/r* frac-2neg associate--l+
1×associate--l- associate-/l/
Counts
4 → 113
Calls
4 calls:
23.0ms
(- (/ -1 (* x x)) (/ 3 x))
10.0ms
(/ (/ 3 x) (* x x))
12.0ms
(/ -1 (* x x))
188.0ms
(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (/ -1 (* x x)) (/ 3 x))
40.0ms
(/ (/ 3 x) (* x x))
36.0ms
(/ -1 (* x x))
38.0ms
(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

simplify16.2s

Counts
125 → 125
Iterations
IterNodes
311891
21873
1540
0210

prune446.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

7.0b
(- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x)))
17.0b
(cbrt (- (/ -1 (* x x)) (/ 3 x)))
17.0b
(cbrt (- (/ -1 (* x x)) (/ 3 x)))
17.0b
(cbrt (- (/ -1 (* x x)) (/ 3 x)))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
153×cbrt-div
114×frac-sub
81×frac-times
52×flip3-- flip--
37×add-sqr-sqrt
27×associate-*l/
24×cbrt-prod
15×associate-*r/
13×*-un-lft-identity
12×times-frac difference-of-squares
7×add-cube-cbrt
6×add-log-exp
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×pow1/3 distribute-lft-out--
1×sub-neg diff-log
Counts
4 → 136
Calls
4 calls:
156.0ms
(- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x)))
11.0ms
(cbrt (- (/ -1 (* x x)) (/ 3 x)))
12.0ms
(cbrt (- (/ -1 (* x x)) (/ 3 x)))
22.0ms
(cbrt (- (/ -1 (* x x)) (/ 3 x)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x)))
68.0ms
(cbrt (- (/ -1 (* x x)) (/ 3 x)))
67.0ms
(cbrt (- (/ -1 (* x x)) (/ 3 x)))
83.0ms
(cbrt (- (/ -1 (* x x)) (/ 3 x)))

simplify2.3s

Counts
148 → 148
Iterations
IterNodes
24379
11415
0455

prune836.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

17.0b
(cbrt (- (/ -1 (* x x)) (/ 3 x)))
20.6b
(cbrt (- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x))))
20.6b
(cbrt (- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x))))
20.6b
(cbrt (- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x))))

rewrite615.0ms

Algorithm
rewrite-expression-head
Rules
630×cbrt-div
334×frac-sub
243×frac-times
148×flip3-- flip--
81×associate-*l/
45×associate-*r/
18×add-sqr-sqrt
17×cbrt-prod
10×*-un-lft-identity
8×add-cube-cbrt
4×pow1 times-frac add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp difference-of-squares
1×distribute-lft-out--
Counts
4 → 251
Calls
4 calls:
12.0ms
(cbrt (- (/ -1 (* x x)) (/ 3 x)))
210.0ms
(cbrt (- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x))))
196.0ms
(cbrt (- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x))))
179.0ms
(cbrt (- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x))))

series583.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt (- (/ -1 (* x x)) (/ 3 x)))
182.0ms
(cbrt (- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x))))
158.0ms
(cbrt (- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x))))
159.0ms
(cbrt (- (* (* (cbrt (- (/ -1 (* x x)) (/ 3 x))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (cbrt (- (/ -1 (* x x)) (/ 3 x)))) (/ (/ 3 x) (* x x))))

simplify2.3s

Counts
263 → 263
Iterations
IterNodes
23607
11563
0579

prune3.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 31.0b

bsearch115.0ms

Steps
ItersRangePoint
10
1.8230705747381016e-09
4364471.442644652
10123.071980988583
9
-32298.533864343164
-0.030639508246526274
-8182.424782641311

simplify6.0ms

Iterations
IterNodes
234
134
027

end0.0ms

sample2.4s

Algorithm
intervals
Results
849.0ms1277×body640valid
795.0ms1714×body1280valid
362.0ms4052×body80valid
228.0ms625×body320valid
55.0ms332×body160valid