Details

sample79.0ms

Algorithm

intervals

Results

22.0ms	294×	body	80	nan
22.0ms	279×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1492
5	656
4	371
3	180
2	64
1	24
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`associate-r`
10×	`pow1`
9×	`add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `associate-*r/` `sqrt-prod`
3×	`times-frac` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `frac-add` `*-commutative` `distribute-lft-out` `unswap-sqr`
1×	`distribute-rgt-in` `clear-num` `associate-/r*` `frac-2neg` `distribute-lft-in` `flip3-+` `flip3--` `flip-+` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 69

Calls

3 calls:

12.0ms	(/ 1.0 (* 9.0 x))
117.0ms	(* (* 3.0 (sqrt x)) (+ (- y 1.0) (/ 1.0 (* 9.0 x))))
8.0ms	(* 3.0 (sqrt x))

series154.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ 1.0 (* 9.0 x))
85.0ms	(* (* 3.0 (sqrt x)) (+ (- y 1.0) (/ 1.0 (* 9.0 x))))
50.0ms	(* 3.0 (sqrt x))

simplify1.4s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	2842
1	481
0	170

prune334.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
54×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
49×	`add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
11×	`associate-r`
10×	`pow1`
5×	`div-inv`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `sqrt-prod` `cbrt-unprod`
3×	`cbrt-undiv` `associate-/r*` `div-exp` `add-log-exp`
2×	`frac-add` `*-commutative` `distribute-lft-out` `unswap-sqr`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

3 → 118

Calls

3 calls:

155.0ms	(* (* 3.0 (sqrt x)) (+ (- y 1.0) (/ (/ 1.0 9.0) x)))
14.0ms	(* 3.0 (sqrt x))
17.0ms	(/ (/ 1.0 9.0) x)

series220.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(* (* 3.0 (sqrt x)) (+ (- y 1.0) (/ (/ 1.0 9.0) x)))
69.0ms	(* 3.0 (sqrt x))
31.0ms	(/ (/ 1.0 9.0) x)

simplify1.9s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	4031
1	740
0	268

prune601.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-cube-cbrt`
8×	`associate-l` `associate-*l/`
7×	`associate-r`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `frac-add` `associate-*r/` `sqrt-prod`
3×	`times-frac` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `flip3-+` `flip3--` `div-exp` `*-commutative` `flip-+` `flip--` `distribute-lft-out` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `distribute-lft-out--`

Counts

3 → 71

Calls

3 calls:

141.0ms	(* (+ (- y 1.0) (/ 1.0 (* x 9.0))) (sqrt x))
11.0ms	(/ 1.0 (* x 9.0))
132.0ms	(* 3.0 (* (+ (- y 1.0) (/ 1.0 (* x 9.0))) (sqrt x)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(* (+ (- y 1.0) (/ 1.0 (* x 9.0))) (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))
99.0ms	(* 3.0 (* (+ (- y 1.0) (/ 1.0 (* x 9.0))) (sqrt x)))

simplify945.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1772
1	395
0	153

prune399.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 3.0 (+ (- y 1.0) (/ (/ 1.0 x) 9.0)))
0.2b	(/ (/ 1.0 x) 9.0)
0.3b	(* (* 3.0 (+ (- y 1.0) (/ (/ 1.0 x) 9.0))) (sqrt x))

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
54×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
49×	`add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
11×	`associate-r`
10×	`pow1`
8×	`associate-*r/`
5×	`div-inv`
4×	`associate-l` `pow-prod-down` `associate-*l/` `frac-add` `prod-exp` `cbrt-unprod`
3×	`cbrt-undiv` `associate-/r*` `div-exp` `sqrt-prod` `add-log-exp`
2×	`flip3-+` `flip3--` `*-commutative` `flip-+` `flip--` `distribute-lft-out`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `distribute-lft-out--` `unswap-sqr` `associate-/l/`

Counts

3 → 121

Calls

3 calls:

175.0ms	(* 3.0 (+ (- y 1.0) (/ (/ 1.0 x) 9.0)))
9.0ms	(/ (/ 1.0 x) 9.0)
227.0ms	(* (* 3.0 (+ (- y 1.0) (/ (/ 1.0 x) 9.0))) (sqrt x))

series165.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* 3.0 (+ (- y 1.0) (/ (/ 1.0 x) 9.0)))
19.0ms	(/ (/ 1.0 x) 9.0)
108.0ms	(* (* 3.0 (+ (- y 1.0) (/ (/ 1.0 x) 9.0))) (sqrt x))

simplify1.4s

Counts

130 → 130

Iterations

Iter	Nodes
done	5002
2	3637
1	725
0	263

prune638.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	8330×	body	80	nan
772.0ms	8527×	body	80	valid