Details

Time bar (total: 36.0s)

sample62.0ms

Algorithm
intervals
Results
20.0ms52×body1280valid
12.0ms39×body640valid
11.0ms136×body80valid
8.0ms18×body320valid
2.0ms11×body160valid

simplify207.0ms

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: 27.9b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

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:
15.0ms
(/ x (+ x 1))
34.0ms
(/ (+ x 1) (- x 1))
87.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

series199.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ x (+ x 1))
40.0ms
(/ (+ x 1) (- x 1))
127.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify2.0s

Counts
126 → 126
Iterations
IterNodes
33151
2989
1383
0180

prune641.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 1) (- x 1))
0.0b
(* (+ x 1) (+ x 1))
0.0b
(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
18.1b
(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*r/
36×flip3-+ flip-+
32×frac-sub
31×*-un-lft-identity
28×frac-times
24×flip3-- flip--
20×add-sqr-sqrt
18×associate-/l/
14×associate-*l/
13×pow1 add-cbrt-cube add-exp-log
12×add-cube-cbrt
11×associate-*r*
8×associate-*l* associate-/r/
7×distribute-lft-out
6×distribute-rgt-in distribute-lft-in swap-sqr add-log-exp
5×sub-neg
4×associate--l+ insert-posit16
3×times-frac prod-exp cbrt-unprod associate-/l*
2×cbrt-undiv div-exp pow-prod-down *-commutative associate--r+ difference-of-squares unswap-sqr
1×pow2 clear-num associate-/r* frac-2neg pow-plus diff-log difference-of-sqr-1 div-sub pow-sqr pow-prod-up div-inv distribute-lft-out--
Counts
4 → 161
Calls
4 calls:
24.0ms
(* (+ x 1) (- x 1))
23.0ms
(* (+ x 1) (+ x 1))
35.0ms
(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
17.0ms
(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (+ x 1) (- x 1))
13.0ms
(* (+ x 1) (+ x 1))
43.0ms
(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
44.0ms
(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

simplify2.4s

Counts
173 → 173
Iterations
IterNodes
24018
1863
0248

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x -3) -1)
0.0b
(* (+ x 1) (- x 1))
14.6b
(/ (+ (* x -3) -1) (* (+ x 1) (- x 1)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×*-un-lft-identity
10×add-cbrt-cube add-exp-log
8×frac-times flip3-+ associate-/r/ flip-+
7×associate-*r* add-cube-cbrt
6×flip3-- flip--
5×pow1 add-log-exp
4×associate-*l* associate-*l/ associate-*r/
3×times-frac insert-posit16 associate-/l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod difference-of-squares associate-/l/
1×+-commutative clear-num associate-/r* sum-log frac-2neg difference-of-sqr-1 pow-prod-down *-commutative div-inv distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
3 → 80
Calls
3 calls:
12.0ms
(+ (* x -3) -1)
44.0ms
(* (+ x 1) (- x 1))
39.0ms
(/ (+ (* x -3) -1) (* (+ x 1) (- x 1)))

series217.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (* x -3) -1)
107.0ms
(* (+ x 1) (- x 1))
54.0ms
(/ (+ (* x -3) -1) (* (+ x 1) (- x 1)))

simplify5.9s

Counts
89 → 89
Iterations
IterNodes
36283
21305
1417
0145

prune526.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ -1 (* x x)) (/ 3 x))
0.1b
(/ (/ 3 x) (* x x))
0.1b
(/ -1 (* x x))
9.4b
(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

rewrite257.0ms

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:
40.0ms
(- (/ -1 (* x x)) (/ 3 x))
19.0ms
(/ (/ 3 x) (* x x))
13.0ms
(/ -1 (* x x))
183.0ms
(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (/ -1 (* x x)) (/ 3 x))
50.0ms
(/ (/ 3 x) (* x x))
40.0ms
(/ -1 (* x x))
30.0ms
(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

simplify18.6s

Counts
125 → 125
Iterations
IterNodes
311891
21873
1540
0210

prune747.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.5b

bsearch136.0ms

Steps
ItersRangePoint
10
0.002603609100038161
6235082944194588.0
4977255.094115384
9
-710549284.1101115
-145.89507053458865
-12548923.376107145

simplify8.0ms

Iterations
IterNodes
230
130
023

end0.0ms

sample2.2s

Algorithm
intervals
Results
763.0ms1774×body1280valid
516.0ms1198×body640valid
441.0ms4114×body80valid
234.0ms600×body320valid
86.0ms314×body160valid