Details

Time bar (total: 11.7s)

sample96.0ms

Algorithm
intervals
Results
36.0ms284×body80valid
35.0ms255×body80nan

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done2003
71360
6876
5580
4389
3184
262
124
012

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
31×add-sqr-sqrt
25×add-cube-cbrt
24×prod-diff
16×add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down sqrt-prod insert-posit16 log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp associate--l+ associate-*r/ *-commutative 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 → 123
Calls
4 calls:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
127.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms
(* 3.0 (sqrt x))
12.0ms
(/ 1.0 (* x 9.0))

series180.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ y (/ 1.0 (* x 9.0)))
70.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
57.0ms
(* 3.0 (sqrt x))
22.0ms
(/ 1.0 (* x 9.0))

simplify433.0ms

Counts
135 → 135
Iterations
IterNodes
done2000
1657
0234

prune440.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.4b
(/ 1.0 (* x 9.0))

rewrite334.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
75×distribute-rgt-in distribute-lft-in
72×prod-diff
59×add-sqr-sqrt
53×add-cube-cbrt
20×distribute-lft-out
16×add-cbrt-cube add-exp-log
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u pow-prod-down sqrt-prod insert-posit16 log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip-+ div-inv difference-of-squares
Counts
4 → 185
Calls
4 calls:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
141.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
173.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
6.0ms
(/ 1.0 (* x 9.0))

series220.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ 1.0 (* x 9.0)))
76.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
84.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
30.0ms
(/ 1.0 (* x 9.0))

simplify554.0ms

Counts
197 → 197
Iterations
IterNodes
done2002
1732
0281

prune747.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
99×add-sqr-sqrt
93×add-cube-cbrt
75×distribute-rgt-in distribute-lft-in times-frac
72×prod-diff
20×distribute-lft-out
16×add-cbrt-cube add-exp-log
13×associate-/l*
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ add-log-exp
5×div-inv
4×expm1-log1p-u pow-prod-down prod-exp sqrt-prod cbrt-unprod insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* fma-def div-exp
2×flip3-- *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip-+ difference-of-squares associate-/l/
Counts
4 → 234
Calls
4 calls:
9.0ms
(+ y (/ (/ 1.0 x) 9.0))
136.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
7.0ms
(/ (/ 1.0 x) 9.0)
156.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ y (/ (/ 1.0 x) 9.0))
86.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
32.0ms
(/ (/ 1.0 x) 9.0)
93.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify657.0ms

Counts
246 → 246
Iterations
IterNodes
done2001
1982
0382

prune855.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
75×times-frac
71×add-sqr-sqrt
65×add-cube-cbrt
24×prod-diff
16×add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
13×associate-/l*
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×div-inv
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* fma-def div-exp
2×sub-neg associate--l+ associate-*r/ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip3-- flip-+ flip-- difference-of-squares associate-/l/
Counts
4 → 172
Calls
4 calls:
8.0ms
(+ y (/ (/ 1.0 x) 9.0))
8.0ms
(/ (/ 1.0 x) 9.0)
115.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
7.0ms
(* 3.0 (sqrt x))

series186.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ y (/ (/ 1.0 x) 9.0))
24.0ms
(/ (/ 1.0 x) 9.0)
85.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
45.0ms
(* 3.0 (sqrt x))

simplify701.0ms

Counts
184 → 184
Iterations
IterNodes
done2000
1895
0334

prune668.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes140.0ms

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
done15
115
012

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.2s8562×body80valid
1.0s8611×body80nan