Details

Time bar (total: 7.8s)

sample31.0ms

Algorithm
intervals
Results
9.0ms273×body80valid
8.0ms310×body80nan

simplify92.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
24714
37514
49214
510914
612414
715514
816614
done16614

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ 1.0 (* x 9.0))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
9×add-log-exp
6×pow1 times-frac associate-*r* associate-/l*
4×cbrt-undiv div-exp sqrt-prod
3×diff-log associate-*l* prod-exp cbrt-unprod distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
3.0ms
(/ 1.0 (* x 9.0))
4.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(* 3.0 (sqrt x))

series166.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
16.0ms
(/ 1.0 (* x 9.0))
62.0ms
(/ y (* 3.0 (sqrt x)))
39.0ms
(* 3.0 (sqrt x))

simplify793.0ms

Counts
97 → 97
Iterations

Useful iterations: done (791.0ms)

IterNodesCost
02151191
15141098
216131004
done5000998

prune237.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.2b
(/ 1.0 (* x 9.0))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×*-un-lft-identity
82×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
13×add-exp-log add-cbrt-cube
9×div-inv
8×add-log-exp
7×associate-/r*
5×cbrt-undiv div-exp difference-of-squares
3×pow1 diff-log distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 158
Calls
3 calls:
74.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))

series127.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))
63.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.1s

Counts
167 → 167
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03292616
17582424
221682326
done50012319

prune390.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
0.2b
(/ 1 (sqrt x))
0.2b
(/ 1.0 (* x 9.0))
0.4b
(* (/ y 3.0) (/ 1 (sqrt x)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
61×times-frac
45×*-un-lft-identity
41×add-cube-cbrt
35×add-exp-log
25×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
13×associate-*l*
12×div-exp
10×unswap-sqr
9×prod-exp add-log-exp
8×pow1 frac-sub
7×cbrt-undiv associate-/r*
6×associate-/l*
5×flip3-- flip-- cbrt-unprod
4×div-inv
3×frac-times rec-exp pow-flip diff-log 1-exp associate-*r/ associate-*l/ un-div-inv
2×sub-neg frac-2neg associate--l+ clear-num
1×associate--l- sqrt-pow1 pow1/2 pow-prod-down *-commutative inv-pow
Counts
4 → 160
Calls
4 calls:
44.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
3.0ms
(/ 1 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))
20.0ms
(* (/ y 3.0) (/ 1 (sqrt x)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
28.0ms
(/ 1 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))
63.0ms
(* (/ y 3.0) (/ 1 (sqrt x)))

simplify1.2s

Counts
172 → 172
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03202426
18412040
225551805
done50001791

prune337.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
138×add-sqr-sqrt
127×*-un-lft-identity
122×add-cube-cbrt
44×sqrt-prod
26×associate-/l*
13×add-exp-log add-cbrt-cube div-inv
9×associate-/r*
8×add-log-exp
6×cbrt-undiv div-exp
5×difference-of-squares
3×pow1 diff-log distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num frac-sub flip-- associate-/l/
1×associate--l-
Counts
3 → 207
Calls
3 calls:
202.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
10.0ms
(/ (/ 1.0 x) 9.0)
8.0ms
(/ (/ y 3.0) (sqrt x))

series129.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
17.0ms
(/ (/ 1.0 x) 9.0)
66.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.2s

Counts
216 → 216
Iterations

Useful iterations: done (1.2s)

IterNodesCost
04253293
19783057
226472955
done50012948

prune540.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
11816
done1816

end0.0ms

sample779.0ms

Algorithm
intervals
Results
271.0ms8596×body80valid
242.0ms8584×body80nan