Details

Time bar (total: 15.0s)

sample26.0ms

Algorithm
intervals
Results
7.0ms53×body1280valid
4.0ms39×body640valid
4.0ms129×body80valid
2.0ms27×body320valid
0.0ms8×body160valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5000
124085
111745
10535
9183
879
758
639
527
421
319
216
112
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(/ (+ x 1.0) (- x 1.0))
2.8b
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
52×times-frac
45×add-sqr-sqrt
23×add-cube-cbrt
18×distribute-lft-out distribute-lft-out--
9×associate-/r* difference-of-squares
7×add-cbrt-cube add-exp-log associate-/l*
5×add-log-exp
4×associate-/r/
3×pow1
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 → 104
Calls
3 calls:
17.0ms
(/ x (+ x 1.0))
21.0ms
(/ (+ x 1.0) (- x 1.0))
117.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series238.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ x (+ x 1.0))
41.0ms
(/ (+ x 1.0) (- x 1.0))
142.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify1.2s

Counts
113 → 113
Iterations
IterNodes
done5002
21794
1408
0176

prune476.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) x)
0.1b
(/ (/ 1.0 x) x)
0.7b
(/ 3.0 (* (* x x) x))
8.2b
(- (- (/ 3.0 (* (* x x) x))) (+ (/ 3.0 x) (/ (/ 1.0 x) x)))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
59×*-un-lft-identity
52×add-sqr-sqrt
49×add-cube-cbrt
23×pow1 add-cbrt-cube add-exp-log
16×associate-/l*
14×add-log-exp
6×cbrt-undiv pow-plus div-exp prod-exp pow-prod-up cbrt-unprod div-inv
4×associate-/r* diff-log distribute-lft-out--
3×associate-*r* pow-prod-down frac-sub distribute-neg-frac
2×pow2 clear-num sum-log distribute-rgt-neg-in frac-2neg neg-log pow-sqr distribute-lft-out
1×associate--l- neg-sub0 sub-neg flip3-+ flip3-- associate-*l* pow3 frac-add *-commutative flip-+ flip-- associate--r+ difference-of-squares unswap-sqr associate-/l/
Counts
4 → 146
Calls
4 calls:
23.0ms
(* (* x x) x)
11.0ms
(/ (/ 1.0 x) x)
15.0ms
(/ 3.0 (* (* x x) x))
236.0ms
(- (- (/ 3.0 (* (* x x) x))) (+ (/ 3.0 x) (/ (/ 1.0 x) x)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (* x x) x)
46.0ms
(/ (/ 1.0 x) x)
52.0ms
(/ 3.0 (* (* x x) x))
43.0ms
(- (- (/ 3.0 (* (* x x) x))) (+ (/ 3.0 x) (/ (/ 1.0 x) x)))

simplify2.5s

Counts
158 → 158
Iterations
IterNodes
done5000
24815
1741
0267

prune611.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x 3.0) (+ (* 1.0 (* x x)) 1.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×sum-log
1×add-sqr-sqrt pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 13
Calls
1 calls:
48.0ms
(+ (* x 3.0) (+ (* 1.0 (* x x)) 1.0))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(+ (* x 3.0) (+ (* 1.0 (* x x)) 1.0))

simplify2.5s

Counts
16 → 16
Iterations
IterNodes
done5000
34171
2607
1139
040

prune57.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x (+ (/ 1.0 x) 3.0)))
0.1b
(* x (+ (/ 1.0 x) 3.0))
0.1b
(* (* x x) (- (- 3.0) (* x (* x (+ (/ 1.0 x) 3.0)))))
43.4b
(/ (* (* x x) (- (- 3.0) (* x (* x (+ (/ 1.0 x) 3.0))))) (* (* (* x x) x) (* x x)))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
124×add-cbrt-cube add-exp-log
73×prod-exp cbrt-unprod
21×cbrt-undiv div-exp
16×pow1
11×add-sqr-sqrt
10×*-un-lft-identity associate-*r/
8×associate-*r* add-cube-cbrt
7×distribute-rgt-in distribute-lft-in associate-*l* pow-prod-down
4×add-log-exp
3×*-commutative
2×sub-neg flip3-+ flip3-- flip-+ flip-- unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg times-frac div-inv distribute-lft-out associate-/l*
Counts
4 → 129
Calls
4 calls:
39.0ms
(* x (* x (+ (/ 1.0 x) 3.0)))
37.0ms
(* x (+ (/ 1.0 x) 3.0))
45.0ms
(* (* x x) (- (- 3.0) (* x (* x (+ (/ 1.0 x) 3.0)))))
111.0ms
(/ (* (* x x) (- (- 3.0) (* x (* x (+ (/ 1.0 x) 3.0))))) (* (* (* x x) x) (* x x)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* x (* x (+ (/ 1.0 x) 3.0)))
90.0ms
(* x (+ (/ 1.0 x) 3.0))
62.0ms
(* (* x x) (- (- 3.0) (* x (* x (+ (/ 1.0 x) 3.0)))))
67.0ms
(/ (* (* x x) (- (- 3.0) (* x (* x (+ (/ 1.0 x) 3.0))))) (* (* (* x x) x) (* x x)))

simplify1.1s

Counts
141 → 141
Iterations
IterNodes
done5000
1855
0212

prune471.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

100% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 32.3b

bsearch110.0ms

Steps
ItersRangePoint
11
3.4817375791661903e-26
573579.0075499975
1.021370211112824
10
-84463.33967257517
-3.2432757514909933e-09
-0.9983730585657322

simplify5.0ms

Iterations
IterNodes
done33
133
022

end0.0ms

sample1.4s

Algorithm
intervals
Results
744.0ms1644×body1280valid
218.0ms1270×body640valid
148.0ms4151×body80valid
70.0ms638×body320valid
53.0ms297×body160valid