Details

Time bar (total: 25.5s)

sample43.0ms

Algorithm
intervals
Results
18.0ms286×body80valid

simplify670.0ms

Counts
1 → 1
Iterations
IterNodes
done112
12112
11111
10107
9103
897
792
673
562
447
339
226
119
08

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize97.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.7b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 associate-/r* times-frac associate-*r* associate-*r/
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 52
Calls
2 calls:
107.0ms
(* x (+ (/ x y) 1.0))
66.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series92.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (+ (/ x y) 1.0))
57.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.8s

Counts
58 → 58
Iterations
IterNodes
done5001
21306
1322
0104

prune559.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize102.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
Counts
2 → 148
Calls
2 calls:
79.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
77.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series162.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
92.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify4.1s

Counts
154 → 154
Iterations
IterNodes
done5004
22109
1559
0208

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize146.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ x (* (/ (+ 1.0 x) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0))) (- (/ x y) 1.0)))
0.1b
(* (+ 1.0 (/ x y)) (- (/ x y) 1.0))
4.0b
(/ (+ 1.0 x) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0)))
6.7b
(* (/ (+ 1.0 x) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0))) (- (/ x y) 1.0))

rewrite886.0ms

Algorithm
rewrite-expression-head
Rules
34×add-cbrt-cube add-exp-log
27×add-sqr-sqrt
25×*-un-lft-identity
21×associate-/r/
20×associate-*l*
16×frac-times
13×times-frac flip3-- add-cube-cbrt flip--
12×associate-*r*
10×cbrt-undiv flip3-+ div-exp prod-exp associate-*r/ cbrt-unprod flip-+
8×pow1 associate-*l/
7×associate-/l*
4×distribute-rgt-in sub-neg distribute-lft-in insert-posit16 distribute-lft-out add-log-exp difference-of-squares
3×div-inv
2×clear-num associate-/r* frac-2neg pow-prod-down *-commutative distribute-lft-out-- unswap-sqr associate-/l/
Counts
4 → 148
Calls
4 calls:
212.0ms
(/ x (* (/ (+ 1.0 x) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0))) (- (/ x y) 1.0)))
153.0ms
(* (+ 1.0 (/ x y)) (- (/ x y) 1.0))
96.0ms
(/ (+ 1.0 x) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0)))
405.0ms
(* (/ (+ 1.0 x) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0))) (- (/ x y) 1.0))

series356.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ x (* (/ (+ 1.0 x) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0))) (- (/ x y) 1.0)))
72.0ms
(* (+ 1.0 (/ x y)) (- (/ x y) 1.0))
126.0ms
(/ (+ 1.0 x) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0)))
88.0ms
(* (/ (+ 1.0 x) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0))) (- (/ x y) 1.0))

simplify5.4s

Counts
160 → 160
Iterations
IterNodes
done5006
23565
1683
0227

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize131.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- (/ x y) 1.0) (+ 1.0 (/ x y)))
0.1b
(* (- (/ x y) 1.0) (+ 1.0 (/ x y)))
0.5b
(* (/ x (+ x 1.0)) (* (- (/ x y) 1.0) (+ 1.0 (/ x y))))
11.0b
(/ (* (/ x (+ x 1.0)) (* (- (/ x y) 1.0) (+ 1.0 (/ x y)))) (* (- (/ x y) 1.0) (+ 1.0 (/ x y))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
61×add-cbrt-cube add-exp-log
44×frac-times
30×add-sqr-sqrt *-un-lft-identity associate-*l* associate-*r/
25×prod-exp cbrt-unprod
22×flip3-+ flip-+
21×flip3-- flip--
17×associate-/l/
16×cbrt-undiv div-exp associate-*l/ add-cube-cbrt
15×times-frac
13×pow1
10×associate-/r/
9×associate-*r*
6×distribute-rgt-in distribute-lft-in
5×pow-prod-down distribute-lft-out
4×insert-posit16 add-log-exp difference-of-squares
3×*-commutative
2×div-inv distribute-lft-out-- unswap-sqr
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
4 → 184
Calls
4 calls:
219.0ms
(* (- (/ x y) 1.0) (+ 1.0 (/ x y)))
212.0ms
(* (- (/ x y) 1.0) (+ 1.0 (/ x y)))
280.0ms
(* (/ x (+ x 1.0)) (* (- (/ x y) 1.0) (+ 1.0 (/ x y))))
379.0ms
(/ (* (/ x (+ x 1.0)) (* (- (/ x y) 1.0) (+ 1.0 (/ x y)))) (* (- (/ x y) 1.0) (+ 1.0 (/ x y))))

series372.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (- (/ x y) 1.0) (+ 1.0 (/ x y)))
78.0ms
(* (- (/ x y) 1.0) (+ 1.0 (/ x y)))
147.0ms
(* (/ x (+ x 1.0)) (* (- (/ x y) 1.0) (+ 1.0 (/ x y))))
80.0ms
(/ (* (/ x (+ x 1.0)) (* (- (/ x y) 1.0) (+ 1.0 (/ x y)))) (* (- (/ x y) 1.0) (+ 1.0 (/ x y))))

simplify2.3s

Counts
196 → 196
Iterations
IterNodes
done5001
1957
0261

prune1.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes244.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample912.0ms

Algorithm
intervals
Results
586.0ms9088×body80valid