Details

Time bar (total: 22.7s)

sample48.0ms

Algorithm
intervals
Results
14.0ms274×body80valid
14.0ms271×body80nan

simplify11.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
26414
318014
433014
548014
669714
799214
8134614
9187314
10242114
11283514
12288914
done288914

prune2.0ms

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)))
0.3b
(* (* 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
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:
17.0ms
(+ y (/ 1.0 (* x 9.0)))
223.0ms
(* (* 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))

series213.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ y (/ 1.0 (* x 9.0)))
93.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
25.0ms
(/ 1.0 (* x 9.0))
57.0ms
(* 3.0 (sqrt x))

simplify981.0ms

Counts
96 → 96
Iterations

Useful iterations: done (978.0ms)

IterNodesCost
01781134
14521044
21588934
done5000926

prune311.0ms

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

rewrite480.0ms

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:
24.0ms
(+ y (/ (/ 1.0 x) 9.0))
18.0ms
(/ (/ 1.0 x) 9.0)
416.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
16.0ms
(* 3.0 (sqrt x))

series161.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (/ (/ 1.0 x) 9.0))
21.0ms
(/ (/ 1.0 x) 9.0)
67.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
45.0ms
(* 3.0 (sqrt x))

simplify1.2s

Counts
145 → 145
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02781811
16741677
219901563
done50001555

prune481.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
61×add-sqr-sqrt
55×*-un-lft-identity
53×add-cube-cbrt
18×add-exp-log add-cbrt-cube
16×associate-*r*
13×pow1 associate-/l*
8×sqrt-prod
7×associate-*l*
5×pow-prod-down prod-exp cbrt-unprod div-inv
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp associate-/r* *-commutative
2×associate-*r/
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ clear-num flip-+ associate-/l/ distribute-lft-out
Counts
4 → 137
Calls
4 calls:
18.0ms
(/ (/ 1.0 x) 9.0)
114.0ms
(* (* 3.0 (sqrt x)) (+ y (/ (/ 1.0 x) 9.0)))
22.0ms
(* 3.0 (sqrt x))
16.0ms
(* 3.0 (sqrt x))

series215.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (/ 1.0 x) 9.0)
101.0ms
(* (* 3.0 (sqrt x)) (+ y (/ (/ 1.0 x) 9.0)))
43.0ms
(* 3.0 (sqrt x))
46.0ms
(* 3.0 (sqrt x))

simplify1.4s

Counts
149 → 149
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02531694
16161562
218711442
done50011432

prune582.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
61×add-sqr-sqrt
55×*-un-lft-identity
53×add-cube-cbrt
18×add-exp-log add-cbrt-cube
13×pow1 associate-/l*
12×associate-*l*
11×associate-*r*
8×sqrt-prod
6×associate-*r/
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod div-inv
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp associate-/r* *-commutative
2×flip3-+ flip-+
1×frac-2neg clear-num associate-/l/ distribute-lft-out
Counts
4 → 143
Calls
4 calls:
19.0ms
(/ (/ 1.0 x) 9.0)
16.0ms
(* 3.0 (sqrt x))
123.0ms
(* 3.0 (* (sqrt x) (+ y (/ (/ 1.0 x) 9.0))))
134.0ms
(* (sqrt x) (+ y (/ (/ 1.0 x) 9.0)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (/ 1.0 x) 9.0)
54.0ms
(* 3.0 (sqrt x))
78.0ms
(* 3.0 (* (sqrt x) (+ y (/ (/ 1.0 x) 9.0))))
88.0ms
(* (sqrt x) (+ y (/ (/ 1.0 x) 9.0)))

simplify1.4s

Counts
155 → 155
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02791936
16751812
220411674
done50011660

prune551.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01728
12528
22928
33628
done3628

end0.0ms

sample2.1s

Algorithm
intervals
Results
953.0ms8359×body80nan
700.0ms8551×body80valid