Details

sample68.0ms

Algorithm

intervals

Results

24.0ms	274×	body	80	valid
17.0ms	271×	body	80	nan

simplify25.8s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

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))

rewrite274.0ms

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:

13.0ms	(+ y (/ 1.0 (* x 9.0)))
229.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(/ 1.0 (* x 9.0))
11.0ms	(* 3.0 (sqrt x))

series233.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ y (/ 1.0 (* x 9.0)))
110.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(/ 1.0 (* x 9.0))
53.0ms	(* 3.0 (sqrt x))

simplify1.5s

Counts

131 → 131

Iterations

Useful iterations: done (1.5s)

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

prune386.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite614.0ms

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:

34.0ms	(+ y (/ (/ 1.0 x) 9.0))
24.0ms	(/ (/ 1.0 x) 9.0)
538.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
11.0ms	(* 3.0 (sqrt x))

series215.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ (/ 1.0 x) 9.0))
38.0ms	(/ (/ 1.0 x) 9.0)
96.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
48.0ms	(* 3.0 (sqrt x))

simplify1.9s

Counts

180 → 180

Iterations

Useful iterations: done (1.9s)

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

prune621.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite251.0ms

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:

24.0ms	(/ (/ 1.0 x) 9.0)
180.0ms	(* (+ y (/ (/ 1.0 x) 9.0)) (* 3.0 (sqrt x)))
19.0ms	(* 3.0 (sqrt x))
16.0ms	(* 3.0 (sqrt x))

series242.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (/ 1.0 x) 9.0)
89.0ms	(* (+ y (/ (/ 1.0 x) 9.0)) (* 3.0 (sqrt x)))
41.0ms	(* 3.0 (sqrt x))
78.0ms	(* 3.0 (sqrt x))

simplify1.6s

Counts

155 → 155

Iterations

Useful iterations: done (1.6s)

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

prune692.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
61×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
53×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
13×	`pow1` `associate-/l*`
9×	`associate-l`
8×	`sqrt-prod`
6×	`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`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`frac-2neg` `clear-num` `associate-/l/` `distribute-lft-out--`

Counts

4 → 146

Calls

4 calls:

23.0ms	(/ (/ 1.0 x) 9.0)
863.0ms	(* (+ (- (/ (/ 1.0 x) 9.0) 1.0) y) (sqrt x))
10.0ms	(* 3.0 (sqrt x))
1.0s	(* (* (+ (- (/ (/ 1.0 x) 9.0) 1.0) y) (sqrt x)) 3.0)

series244.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (/ 1.0 x) 9.0)
85.0ms	(* (+ (- (/ (/ 1.0 x) 9.0) 1.0) y) (sqrt x))
50.0ms	(* 3.0 (sqrt x))
78.0ms	(* (* (+ (- (/ (/ 1.0 x) 9.0) 1.0) y) (sqrt x)) 3.0)

simplify1.5s

Counts

158 → 158

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	276	2042
1	642	1922
2	1791	1760
done	5000	1748

prune730.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	24	24
done	24	24

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	8359×	body	80	nan
775.0ms	8551×	body	80	valid