Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	310×	body	80	nan
9.0ms	272×	body	80	valid

simplify19.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	63	14
3	151	14
4	292	14
5	495	14
6	858	14
7	1146	14
8	1588	14
9	2663	14
10	4034	14
11	4535	14
12	4696	14
13	4697	14
done	4697	14

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)))
0.2b	(/ 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))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `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 → 119

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
3.0ms	(/ 1.0 (* x 9.0))
82.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))

series179.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (/ 1.0 (* x 9.0)))
20.0ms	(/ 1.0 (* x 9.0))
80.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
46.0ms	(* 3.0 (sqrt x))

simplify1.4s

Counts

131 → 131

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	230	2240
1	594	1935
2	1986	1666
done	5000	1637

prune297.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
75×	`times-frac`
71×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-/l*`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `div-exp` `associate-/r*`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 168

Calls

4 calls:

19.0ms	(+ y (/ (/ 1.0 x) 9.0))
287.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
5.0ms	(* 3.0 (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)

series185.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ y (/ (/ 1.0 x) 9.0))
80.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
47.0ms	(* 3.0 (sqrt x))
22.0ms	(/ (/ 1.0 x) 9.0)

simplify1.5s

Counts

180 → 180

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	330	2917
1	817	2568
2	2482	2295
done	5001	2266

prune484.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
61×	`add-sqr-sqrt`
53×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
13×	`pow1` `associate-/l*`
8×	`sqrt-prod`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 140

Calls

4 calls:

10.0ms	(* (* 3.0 (sqrt x)) y)
5.0ms	(* 3.0 (sqrt x))
5.0ms	(* 3.0 (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)

series185.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (* 3.0 (sqrt x)) y)
45.0ms	(* 3.0 (sqrt x))
51.0ms	(* 3.0 (sqrt x))
21.0ms	(/ (/ 1.0 x) 9.0)

simplify1.2s

Counts

152 → 152

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	254	1532
1	587	1416
2	1668	1316
done	5001	1302

prune426.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite683.0ms

Algorithm

rewrite-expression-head

Rules

136×	`*-un-lft-identity`
99×	`add-sqr-sqrt`
93×	`add-cube-cbrt`
75×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
72×	`prod-diff`
20×	`distribute-lft-out`
16×	`add-exp-log` `add-cbrt-cube`
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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `div-exp` `associate-/r*`
2×	`flip3--` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 230

Calls

4 calls:

17.0ms	(+ y (/ (/ 1.0 x) 9.0))
335.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
315.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
6.0ms	(/ (/ 1.0 x) 9.0)

series183.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ (/ 1.0 x) 9.0))
63.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
67.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
24.0ms	(/ (/ 1.0 x) 9.0)

simplify1.3s

Counts

242 → 242

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	378	5343
1	856	4570
2	2448	3964
done	5001	3886

prune438.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	19	14
done	19	14

end0.0ms

sample833.0ms

Algorithm

intervals

Results

279.0ms	8566×	body	80	valid
274.0ms	8559×	body	80	nan