Details

Time bar (total: 22.2s)

sample41.0ms

Algorithm
intervals
Results
11.0ms278×body80nan
11.0ms272×body80valid

simplify11.8s

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

localize17.0ms

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))
0.3b
(/ 1.0 (* x 9.0))

rewrite241.0ms

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:
15.0ms
(+ y (/ 1.0 (* x 9.0)))
202.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms
(* 3.0 (sqrt x))
12.0ms
(/ 1.0 (* x 9.0))

series188.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (/ 1.0 (* x 9.0)))
89.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
52.0ms
(* 3.0 (sqrt x))
18.0ms
(/ 1.0 (* x 9.0))

simplify903.0ms

Counts
96 → 96
Iterations

Useful iterations: done (900.0ms)

IterNodesCost
01781134
14521044
21588934
done5001926

prune280.0ms

Pruning

10 alts after pruning (10 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)))
0.2b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(/ 1.0 (* x 9.0))

rewrite468.0ms

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:
12.0ms
(+ y (/ 1.0 (* x 9.0)))
208.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
233.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms
(/ 1.0 (* x 9.0))

series228.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ y (/ 1.0 (* x 9.0)))
79.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
89.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
25.0ms
(/ 1.0 (* x 9.0))

simplify984.0ms

Counts
110 → 110
Iterations

Useful iterations: 2 (277.0ms)

IterNodesCost
01771564
14241484
215241350
done50011350

prune294.0ms

Pruning

11 alts after pruning (11 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)))
0.2b
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite925.0ms

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:
28.0ms
(+ y (/ (/ 1.0 x) 9.0))
434.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
442.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
11.0ms
(/ (/ 1.0 x) 9.0)

series221.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ (/ 1.0 x) 9.0))
87.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
84.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
21.0ms
(/ (/ 1.0 x) 9.0)

simplify1.1s

Counts
159 → 159
Iterations

Useful iterations: 2 (321.0ms)

IterNodesCost
02782241
16452117
219351979
done50001979

prune527.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
11×*-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×distribute-rgt-in distribute-lft-in
2×sub-neg associate-*r/ associate--l+ *-commutative distribute-lft-out-- add-log-exp unswap-sqr
1×flip3-- flip-- distribute-lft-out difference-of-squares
Counts
2 → 51
Calls
2 calls:
229.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
15.0ms
(* 3.0 (sqrt x))

series152.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
57.0ms
(* 3.0 (sqrt x))

simplify1.1s

Counts
57 → 57
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0120714
1313664
21090586
done5000578

prune93.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11514
done1514

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s8553×body80nan
543.0ms8566×body80valid