Details

Time bar (total: 23.8s)

sample63.0ms

Algorithm
intervals
Results
21.0ms274×body80valid
17.0ms271×body80nan

simplify11.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

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))

rewrite278.0ms

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:
13.0ms
(+ y (/ 1.0 (* x 9.0)))
240.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms
(/ 1.0 (* x 9.0))
14.0ms
(* 3.0 (sqrt x))

series191.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ y (/ 1.0 (* x 9.0)))
85.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
23.0ms
(/ 1.0 (* x 9.0))
43.0ms
(* 3.0 (sqrt x))

simplify997.0ms

Counts
96 → 96
Iterations

Useful iterations: done (993.0ms)

IterNodesCost
01781134
14521044
21588934
done5000926

prune301.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite551.0ms

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:
40.0ms
(+ y (/ (/ 1.0 x) 9.0))
22.0ms
(/ (/ 1.0 x) 9.0)
461.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
18.0ms
(* 3.0 (sqrt x))

series172.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ (/ 1.0 x) 9.0))
21.0ms
(/ (/ 1.0 x) 9.0)
75.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
46.0ms
(* 3.0 (sqrt x))

simplify1.3s

Counts
145 → 145
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02781811
16741677
219901563
done50001555

prune484.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite146.0ms

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:
16.0ms
(/ (/ 1.0 x) 9.0)
95.0ms
(* (* 3.0 (sqrt x)) (+ y (/ (/ 1.0 x) 9.0)))
18.0ms
(* 3.0 (sqrt x))
11.0ms
(* 3.0 (sqrt x))

series250.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (/ 1.0 x) 9.0)
121.0ms
(* (* 3.0 (sqrt x)) (+ y (/ (/ 1.0 x) 9.0)))
54.0ms
(* 3.0 (sqrt x))
43.0ms
(* 3.0 (sqrt x))

simplify1.6s

Counts
149 → 149
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02531694
16161562
218711442
done50011432

prune483.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite250.0ms

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)
17.0ms
(* 3.0 (sqrt x))
102.0ms
(* 3.0 (* (sqrt x) (+ y (/ (/ 1.0 x) 9.0))))
101.0ms
(* (sqrt x) (+ y (/ (/ 1.0 x) 9.0)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (/ 1.0 x) 9.0)
39.0ms
(* 3.0 (sqrt x))
80.0ms
(* 3.0 (* (sqrt x) (+ y (/ (/ 1.0 x) 9.0))))
105.0ms
(* (sqrt x) (+ y (/ (/ 1.0 x) 9.0)))

simplify1.5s

Counts
155 → 155
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02791936
16751812
220411674
done50011660

prune549.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01728
12528
22928
33628
done3628

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s8551×body80valid
650.0ms8359×body80nan