Details

Time bar (total: 7.3s)

sample37.0ms

Algorithm
intervals
Results
11.0ms276×body80valid
9.0ms222×body80nan

simplify96.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

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))

rewrite195.0ms

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:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
164.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))

series174.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (/ 1.0 (* x 9.0)))
88.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms
(/ 1.0 (* x 9.0))
41.0ms
(* 3.0 (sqrt x))

simplify50.0ms

Counts
96 → 96

prune211.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite399.0ms

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:
31.0ms
(+ y (/ (/ 1.0 x) 9.0))
338.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
11.0ms
(/ (/ 1.0 x) 9.0)
10.0ms
(* 3.0 (sqrt x))

series169.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ y (/ (/ 1.0 x) 9.0))
65.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
21.0ms
(/ (/ 1.0 x) 9.0)
52.0ms
(* 3.0 (sqrt x))

simplify70.0ms

Counts
145 → 145

prune356.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite696.0ms

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
15×distribute-rgt-in distribute-lft-in
13×associate-/l*
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×div-inv
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×cbrt-undiv div-exp associate-/r*
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/ difference-of-squares
Counts
4 → 147
Calls
4 calls:
21.0ms
(+ y (/ (/ 1.0 x) 9.0))
344.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
12.0ms
(/ (/ 1.0 x) 9.0)
312.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (/ (/ 1.0 x) 9.0))
61.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
17.0ms
(/ (/ 1.0 x) 9.0)
67.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify63.0ms

Counts
159 → 159

prune377.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×add-sqr-sqrt
56×*-un-lft-identity
51×distribute-rgt-in add-cube-cbrt distribute-lft-in
37×add-exp-log
32×pow1
25×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
14×sub-neg associate--l+
13×associate-*l* associate-/l*
12×associate-*r/
8×associate-*r*
5×div-inv
4×sqrt-prod add-log-exp
3×cbrt-undiv cbrt-prod flip3-- div-exp associate-/r* *-commutative flip--
2×distribute-lft-out-- unswap-sqr
1×frac-2neg clear-num associate-/l/ distribute-lft-out difference-of-squares
Counts
4 → 192
Calls
4 calls:
378.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
812.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))))
11.0ms
(/ (/ 1.0 x) 9.0)
391.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
112.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))))
21.0ms
(/ (/ 1.0 x) 9.0)
134.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify90.0ms

Counts
204 → 204

prune422.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
744.0ms8678×body80nan
480.0ms8567×body80valid