Details

Time bar (total: 19.6s)

sample50.0ms

Algorithm
intervals
Results
14.0ms288×body80nan
13.0ms269×body80valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5001
61794
5791
4440
3188
264
124
012

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize33.0ms

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))

rewrite246.0ms

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)))
204.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms
(* 3.0 (sqrt x))
11.0ms
(/ 1.0 (* x 9.0))

series242.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ y (/ 1.0 (* x 9.0)))
92.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
69.0ms
(* 3.0 (sqrt x))
37.0ms
(/ 1.0 (* x 9.0))

simplify1.7s

Counts
131 → 131
Iterations
IterNodes
done5000
23913
1656
0230

prune626.0ms

Pruning

13 alts after pruning (13 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)))
0.3b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.4b
(/ 1.0 (* x 9.0))

rewrite435.0ms

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:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
216.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
194.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
6.0ms
(/ 1.0 (* x 9.0))

series224.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ y (/ 1.0 (* x 9.0)))
85.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
78.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
22.0ms
(/ 1.0 (* x 9.0))

simplify2.2s

Counts
193 → 193
Iterations
IterNodes
done5000
23718
1731
0277

prune821.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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

rewrite910.0ms

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 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 → 230
Calls
4 calls:
20.0ms
(+ y (/ (/ 1.0 x) 9.0))
9.0ms
(/ (/ 1.0 x) 9.0)
472.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
399.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ y (/ (/ 1.0 x) 9.0))
18.0ms
(/ (/ 1.0 x) 9.0)
71.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
71.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify2.0s

Counts
242 → 242
Iterations
IterNodes
done5000
24773
11002
0378

prune916.0ms

Pruning

10 alts after pruning (9 fresh and 1 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
(* (* 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))

rewrite457.0ms

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 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 → 168
Calls
4 calls:
30.0ms
(+ y (/ (/ 1.0 x) 9.0))
400.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
9.0ms
(/ (/ 1.0 x) 9.0)
8.0ms
(* 3.0 (sqrt x))

series199.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ y (/ (/ 1.0 x) 9.0))
84.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
26.0ms
(/ (/ 1.0 x) 9.0)
43.0ms
(* 3.0 (sqrt x))

simplify1.9s

Counts
180 → 180
Iterations
IterNodes
done5000
24677
1901
0330

prune740.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample2.1s

Algorithm
intervals
Results
964.0ms8465×body80nan
539.0ms8560×body80valid