Details

Time bar (total: 15.7s)

sample65.0ms

Algorithm
intervals
Results
23.0ms286×body80nan
21.0ms270×body80valid

simplify3.2s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(/ 1.0 (* x 9.0))
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (sqrt x))

rewrite217.0ms

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:
9.0ms
(+ y (/ 1.0 (* x 9.0)))
13.0ms
(/ 1.0 (* x 9.0))
180.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
13.0ms
(* 3.0 (sqrt x))

series212.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ y (/ 1.0 (* x 9.0)))
24.0ms
(/ 1.0 (* x 9.0))
97.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
56.0ms
(* 3.0 (sqrt x))

simplify1.5s

Counts
100 → 100
Iterations
IterNodes
done5001
21659
1483
0182

prune430.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (/ 1.0 x) 9.0))
0.2b
(/ (/ 1.0 x) 9.0)
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b
(* 3.0 (sqrt x))

rewrite210.0ms

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:
9.0ms
(+ y (/ (/ 1.0 x) 9.0))
9.0ms
(/ (/ 1.0 x) 9.0)
179.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
11.0ms
(* 3.0 (sqrt x))

series213.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ y (/ (/ 1.0 x) 9.0))
30.0ms
(/ (/ 1.0 x) 9.0)
80.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
56.0ms
(* 3.0 (sqrt x))

simplify1.7s

Counts
149 → 149
Iterations
IterNodes
done5001
22269
1725
0282

prune771.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(/ 1.0 (* x 9.0))
0.3b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

rewrite383.0ms

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:
17.0ms
(+ y (/ 1.0 (* x 9.0)))
14.0ms
(/ 1.0 (* x 9.0))
188.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
161.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ y (/ 1.0 (* x 9.0)))
34.0ms
(/ 1.0 (* x 9.0))
112.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
93.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.5s

Counts
114 → 114
Iterations
IterNodes
done5008
21619
1460
0181

prune548.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 0.1111111111111111 x) y)
0.3b
(* (sqrt x) (- (+ (/ 0.1111111111111111 x) y) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ (/ 0.1111111111111111 x) y) 1.0)))

rewrite331.0ms

Algorithm
rewrite-expression-head
Rules
15×distribute-rgt-in distribute-lft-in
14×*-un-lft-identity
13×add-sqr-sqrt
10×pow1 add-cbrt-cube add-exp-log
9×associate-*l*
7×associate-*r* add-cube-cbrt
6×sub-neg associate--l+ associate-*r/
5×add-log-exp
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×insert-posit16
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative sum-log flip3-+ flip-+ difference-of-squares
Counts
3 → 80
Calls
3 calls:
17.0ms
(+ (/ 0.1111111111111111 x) y)
157.0ms
(* (sqrt x) (- (+ (/ 0.1111111111111111 x) y) 1.0))
154.0ms
(* 3.0 (* (sqrt x) (- (+ (/ 0.1111111111111111 x) y) 1.0)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (/ 0.1111111111111111 x) y)
90.0ms
(* (sqrt x) (- (+ (/ 0.1111111111111111 x) y) 1.0))
91.0ms
(* 3.0 (* (sqrt x) (- (+ (/ 0.1111111111111111 x) y) 1.0)))

simplify1.5s

Counts
89 → 89
Iterations
IterNodes
done5005
21301
1376
0142

prune320.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample1.9s

Algorithm
intervals
Results
926.0ms8564×body80nan
632.0ms8502×body80valid