Details

Time bar (total: 19.9s)

sample39.0ms

Algorithm
intervals
Results
11.0ms275×body80valid
11.0ms265×body80nan

simplify5.3s

Counts
1 → 1
Iterations
IterNodes
done5000
94987
82165
71360
6876
5580
4389
3184
262
124
012

prune4.0ms

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

rewrite261.0ms

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 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 → 119
Calls
4 calls:
16.0ms
(+ y (/ 1.0 (* x 9.0)))
212.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms
(/ 1.0 (* x 9.0))
15.0ms
(* 3.0 (sqrt x))

series202.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ y (/ 1.0 (* x 9.0)))
92.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
20.0ms
(/ 1.0 (* x 9.0))
49.0ms
(* 3.0 (sqrt x))

simplify1.7s

Counts
131 → 131
Iterations
IterNodes
done5000
22128
1654
0230

prune683.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)))
0.3b
(/ 1.0 (* x 9.0))

rewrite523.0ms

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 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 → 181
Calls
4 calls:
9.0ms
(+ y (/ 1.0 (* x 9.0)))
284.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
211.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
11.0ms
(/ 1.0 (* x 9.0))

series220.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ y (/ 1.0 (* x 9.0)))
70.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
76.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
29.0ms
(/ 1.0 (* x 9.0))

simplify1.9s

Counts
193 → 193
Iterations
IterNodes
done5000
22114
1726
0277

prune695.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite466.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
75×distribute-rgt-in distribute-lft-in
72×prod-diff
56×add-sqr-sqrt
50×add-cube-cbrt
20×distribute-lft-out
10×pow1 add-cbrt-cube add-exp-log
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/
5×add-log-exp
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×expm1-log1p-u fma-def log1p-expm1-u
2×flip3-- *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative sum-log flip3-+ flip-+ difference-of-squares
Counts
3 → 158
Calls
3 calls:
16.0ms
(+ y (/ 0.1111111111111111 x))
188.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
250.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series231.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ y (/ 0.1111111111111111 x))
74.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
112.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify1.6s

Counts
167 → 167
Iterations
IterNodes
done5001
21666
1638
0239

prune655.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (/ 1 x) (/ 1.0 9.0)))
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
0.3b
(* 3.0 (sqrt x))
0.4b
(* (/ 1 x) (/ 1.0 9.0))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
39×*-un-lft-identity
35×add-cube-cbrt
33×add-exp-log
25×times-frac
24×associate-*r*
23×add-cbrt-cube
18×prod-diff
17×associate-*l*
13×pow1
12×distribute-rgt-in distribute-lft-in prod-exp
8×div-exp cbrt-unprod unswap-sqr
6×add-log-exp
5×pow-prod-down
4×expm1-log1p-u cbrt-undiv sqrt-prod log1p-expm1-u
3×fma-def associate-*r/ *-commutative
2×rec-exp sub-neg 1-exp associate--l+ div-inv
1×frac-times +-commutative sum-log flip3-+ flip3-- associate-*l/ flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 146
Calls
4 calls:
5.0ms
(+ y (* (/ 1 x) (/ 1.0 9.0)))
64.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
8.0ms
(* 3.0 (sqrt x))
37.0ms
(* (/ 1 x) (/ 1.0 9.0))

series223.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ y (* (/ 1 x) (/ 1.0 9.0)))
103.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
60.0ms
(* 3.0 (sqrt x))
21.0ms
(* (/ 1 x) (/ 1.0 9.0))

simplify2.7s

Counts
158 → 158
Iterations
IterNodes
done5001
22937
1895
0296

prune650.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample1.5s

Algorithm
intervals
Results
660.0ms8499×body80nan
491.0ms8508×body80valid