Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	277×	body	80	nan
9.0ms	272×	body	80	valid

simplify18.8s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

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))

rewrite204.0ms

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:

11.0ms	(+ y (/ 1.0 (* x 9.0)))
170.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ 1.0 (* x 9.0)))
67.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
39.0ms	(* 3.0 (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))

simplify956.0ms

Counts

131 → 131

Iterations

Useful iterations: done (952.0ms)

Iter	Nodes	Cost
0	230	2240
1	575	1933
2	1825	1666
done	5001	1567

prune244.0ms

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	(* (* 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))

rewrite394.0ms

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:

21.0ms	(+ y (/ (/ 1.0 x) 9.0))
342.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
11.0ms	(/ (/ 1.0 x) 9.0)
12.0ms	(* 3.0 (sqrt x))

series155.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ (/ 1.0 x) 9.0))
64.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
17.0ms	(/ (/ 1.0 x) 9.0)
42.0ms	(* 3.0 (sqrt x))

simplify1.2s

Counts

180 → 180

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	330	2917
1	797	2566
2	2228	2295
done	5002	2196

prune372.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite595.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

109.0ms	(+ (- (/ 1.0 (* x 9.0)) 1.0) y)
258.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
216.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))
7.0ms	(/ 1.0 (* x 9.0))

series166.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (- (/ 1.0 (* x 9.0)) 1.0) y)
57.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
66.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))
18.0ms	(/ 1.0 (* x 9.0))

simplify757.0ms

Counts

136 → 136

Iterations

Useful iterations: done (753.0ms)

Iter	Nodes	Cost
0	179	1789
1	438	1668
2	1506	1388
done	5000	1382

prune317.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
42×	`*-un-lft-identity` `prod-diff`
40×	`add-cube-cbrt`
24×	`distribute-rgt-in` `distribute-lft-in`
21×	`times-frac`
15×	`add-exp-log` `associate-l` `add-cbrt-cube`
12×	`associate-r`
10×	`pow1`
8×	`sqrt-prod`
7×	`div-inv`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `-commutative` `associate-/l`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 146

Calls

4 calls:

68.0ms	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
9.0ms	(* (sqrt x) y)
86.0ms	(* 3.0 (+ (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0)) (* (sqrt x) y)))
7.0ms	(/ 1.0 (* x 9.0))

series244.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
55.0ms	(* (sqrt x) y)
103.0ms	(* 3.0 (+ (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0)) (* (sqrt x) y)))
17.0ms	(/ 1.0 (* x 9.0))

simplify1.1s

Counts

158 → 158

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	288	2937
1	647	2392
2	2059	2083
done	5001	1992

prune275.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	21
1	23	21
2	26	21
done	26	21

end0.0ms

sample924.0ms

Algorithm

intervals

Results

278.0ms	8502×	body	80	valid
269.0ms	8412×	body	80	nan