Details

sample56.0ms

Algorithm

intervals

Results

21.0ms	274×	body	80	valid
16.0ms	271×	body	80	nan

simplify28.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	64	14
3	188	14
4	400	14
5	616	14
6	995	14
7	1394	14
8	1866	14
9	2606	14
10	3634	14
11	4214	14
12	4310	14
13	4311	14
done	4311	14

prune4.0ms

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)))
0.3b	(* (* 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))

rewrite344.0ms

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:

24.0ms	(+ y (/ 1.0 (* x 9.0)))
288.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms	(/ 1.0 (* x 9.0))
15.0ms	(* 3.0 (sqrt x))

series189.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ y (/ 1.0 (* x 9.0)))
77.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(/ 1.0 (* x 9.0))
60.0ms	(* 3.0 (sqrt x))

simplify1.3s

Counts

131 → 131

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	230	2240
1	575	1933
2	1828	1666
done	5002	1567

prune388.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite661.0ms

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:

33.0ms	(+ y (/ (/ 1.0 x) 9.0))
23.0ms	(/ (/ 1.0 x) 9.0)
570.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
28.0ms	(* 3.0 (sqrt x))

series216.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ (/ 1.0 x) 9.0))
28.0ms	(/ (/ 1.0 x) 9.0)
88.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
70.0ms	(* 3.0 (sqrt x))

simplify2.0s

Counts

180 → 180

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	330	2917
1	797	2566
2	2229	2295
done	5000	2196

prune675.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

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-r` `associate-/l*`
10×	`associate-l`
8×	`sqrt-prod`
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`
2×	`associate-*l/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

4 → 143

Calls

4 calls:

12.0ms	(/ (/ 1.0 x) 9.0)
140.0ms	(* (+ y (/ (/ 1.0 x) 9.0)) (* 3.0 (sqrt x)))
10.0ms	(* 3.0 (sqrt x))
11.0ms	(* 3.0 (sqrt x))

series292.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (/ 1.0 x) 9.0)
119.0ms	(* (+ y (/ (/ 1.0 x) 9.0)) (* 3.0 (sqrt x)))
68.0ms	(* 3.0 (sqrt x))
75.0ms	(* 3.0 (sqrt x))

simplify1.8s

Counts

155 → 155

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	253	1718
1	598	1590
2	1619	1469
done	5000	1460

prune673.0ms

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

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
212×	`add-sqr-sqrt`
211×	`*-un-lft-identity`
199×	`add-cube-cbrt`
131×	`associate-+l+`
129×	`prod-diff`
17×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
11×	`pow1`
9×	`add-log-exp`
8×	`associate-l`
7×	`fma-def` `associate-r`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out`
3×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r*` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `sum-log` `-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/l/`

Counts

4 → 277

Calls

4 calls:

284.0ms	(+ (- (/ (/ 1.0 x) 9.0) 1.0) y)
22.0ms	(/ (/ 1.0 x) 9.0)
800.0ms	(* (+ (- (/ (/ 1.0 x) 9.0) 1.0) y) (sqrt x))
688.0ms	(* 3.0 (* (+ (- (/ (/ 1.0 x) 9.0) 1.0) y) (sqrt x)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (- (/ (/ 1.0 x) 9.0) 1.0) y)
31.0ms	(/ (/ 1.0 x) 9.0)
88.0ms	(* (+ (- (/ (/ 1.0 x) 9.0) 1.0) y) (sqrt x))
80.0ms	(* 3.0 (* (+ (- (/ (/ 1.0 x) 9.0) 1.0) y) (sqrt x)))

simplify1.3s

Counts

289 → 289

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	271	3868
1	621	3339
2	1724	2481
done	5000	2463

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	21
1	18	21
done	18	21

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	8359×	body	80	nan
676.0ms	8551×	body	80	valid