Details

Time bar (total: 14.2s)

sample74.0ms

Algorithm
intervals
Results
27.0ms243×body80nan
27.0ms267×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5006
92920
81615
7959
6645
5435
4318
3176
262
124
012

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.3b
(* 3.0 (sqrt x))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
12×associate-*r*
11×pow1
10×add-cube-cbrt
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod insert-posit16
3×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp associate--l+ associate-*r/ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip3-- flip-+ div-inv flip-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
9.0ms
(* 3.0 (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))
112.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series185.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ y (/ 1.0 (* x 9.0)))
55.0ms
(* 3.0 (sqrt x))
18.0ms
(/ 1.0 (* x 9.0))
69.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify1.8s

Counts
100 → 100
Iterations
IterNodes
done5002
21603
1482
0182

prune371.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (/ 1.0 x) 9.0))
0.3b
(* 3.0 (sqrt x))
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-/l*
12×associate-*r*
11×pow1
6×add-log-exp
5×div-inv
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod insert-posit16
3×distribute-rgt-in cbrt-undiv associate-/r* distribute-lft-in div-exp
2×sub-neg associate--l+ associate-*r/ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip3-- flip-+ flip-- difference-of-squares associate-/l/
Counts
4 → 137
Calls
4 calls:
8.0ms
(+ y (/ (/ 1.0 x) 9.0))
7.0ms
(* 3.0 (sqrt x))
105.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
11.0ms
(/ (/ 1.0 x) 9.0)

series196.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ y (/ (/ 1.0 x) 9.0))
43.0ms
(* 3.0 (sqrt x))
88.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
20.0ms
(/ (/ 1.0 x) 9.0)

simplify1.5s

Counts
149 → 149
Iterations
IterNodes
done5003
22226
1729
0282

prune698.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b
(* 3.0 (sqrt x))
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
11×*-un-lft-identity
9×pow1 add-cbrt-cube add-exp-log
6×add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×distribute-rgt-in distribute-lft-in
2×sub-neg associate--l+ associate-*r/ *-commutative insert-posit16 distribute-lft-out-- add-log-exp unswap-sqr
1×flip3-- flip-- distribute-lft-out difference-of-squares
Counts
2 → 53
Calls
2 calls:
7.0ms
(* 3.0 (sqrt x))
92.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

series139.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* 3.0 (sqrt x))
84.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

simplify1.2s

Counts
59 → 59
Iterations
IterNodes
done5002
21111
1334
0122

prune177.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.3b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod insert-posit16
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip-+ div-inv difference-of-squares
Counts
4 → 102
Calls
4 calls:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
8.0ms
(/ 1.0 (* x 9.0))
147.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
146.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series191.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ 1.0 (* x 9.0)))
26.0ms
(/ 1.0 (* x 9.0))
68.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
67.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify1.3s

Counts
114 → 114
Iterations
IterNodes
done5023
21584
1460
0181

prune414.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s8486×body80valid
897.0ms8428×body80nan