Details

Time bar (total: 15.8s)

sample30.0ms

Algorithm
intervals
Results
9.0ms277×body80valid
8.0ms238×body80nan

simplify8.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
26314
314314
423014
536314
660014
785114
8123714
9217014
10315314
11357814
12369514
done369514

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

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))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
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
3×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num associate-/r* sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 84
Calls
4 calls:
4.0ms
(+ y (/ 1.0 (* x 9.0)))
68.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

series143.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ y (/ 1.0 (* x 9.0)))
63.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms
(/ 1.0 (* x 9.0))
40.0ms
(* 3.0 (sqrt x))

simplify927.0ms

Counts
96 → 96
Iterations

Useful iterations: done (924.0ms)

IterNodesCost
01781134
14551044
21603934
done5000928

prune195.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y (/ 0.1111111111111111 x)) 1.0)
0.0b
(+ y (/ 0.1111111111111111 x))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b
(* 3.0 (sqrt x))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cbrt-cube add-log-exp
8×add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod distribute-lft-out--
3×distribute-rgt-in sub-neg distribute-lft-in associate--l+ distribute-lft-out
2×flip3-- diff-log associate-*r/ sum-log *-commutative flip-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 80
Calls
4 calls:
50.0ms
(- (+ y (/ 0.1111111111111111 x)) 1.0)
7.0ms
(+ y (/ 0.1111111111111111 x))
84.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
5.0ms
(* 3.0 (sqrt x))

series154.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (+ y (/ 0.1111111111111111 x)) 1.0)
26.0ms
(+ y (/ 0.1111111111111111 x))
64.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
40.0ms
(* 3.0 (sqrt x))

simplify1.0s

Counts
92 → 92
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01501072
13991002
21295898
done5000884

prune185.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-exp-log add-cbrt-cube
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
3×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r*
2×sub-neg associate-*r/ associate--l+ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 133
Calls
4 calls:
16.0ms
(+ y (/ (/ 1.0 x) 9.0))
235.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
5.0ms
(/ (/ 1.0 x) 9.0)
4.0ms
(* 3.0 (sqrt x))

series151.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ (/ 1.0 x) 9.0))
67.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
16.0ms
(/ (/ 1.0 x) 9.0)
42.0ms
(* 3.0 (sqrt x))

simplify1.0s

Counts
145 → 145
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02781811
16781677
220821563
done50001557

prune334.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
5.0ms
(+ y (/ 1.0 (* x 9.0)))
78.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms
(/ 1.0 (* x 9.0))
70.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series168.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (/ 1.0 (* x 9.0)))
59.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms
(/ 1.0 (* x 9.0))
65.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify798.0ms

Counts
110 → 110
Iterations

Useful iterations: done (795.0ms)

IterNodesCost
01771564
14271484
214731350
done50001338

prune192.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11514
done1514

end0.0ms

sample826.0ms

Algorithm
intervals
Results
274.0ms8564×body80valid
271.0ms8597×body80nan