Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	281×	body	80	nan
8.0ms	269×	body	80	valid

simplify8.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	63	14
3	143	14
4	230	14
5	363	14
6	600	14
7	851	14
8	1237	14
9	2170	14
10	3153	14
11	3578	14
12	3695	14
done	3695	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `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 → 84

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
4.0ms	(* 3.0 (sqrt x))
70.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))

series159.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ 1.0 (* x 9.0)))
40.0ms	(* 3.0 (sqrt x))
70.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(/ 1.0 (* x 9.0))

simplify950.0ms

Counts

96 → 96

Iterations

Useful iterations: done (948.0ms)

Iter	Nodes	Cost
0	178	1134
1	455	1044
2	1604	934
done	5001	928

prune225.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ 0.1111111111111111 x)) 1.0)
0.0b	(+ y (/ 0.1111111111111111 x))
0.2b	(* 3.0 (sqrt x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
8×	`add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `distribute-lft-out--`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate--l+` `distribute-lft-out`
2×	`flip3--` `diff-log` `associate-r/` `sum-log` `-commutative` `flip--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 80

Calls

4 calls:

55.0ms	(- (+ y (/ 0.1111111111111111 x)) 1.0)
6.0ms	(+ y (/ 0.1111111111111111 x))
4.0ms	(* 3.0 (sqrt x))
89.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

series166.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (+ y (/ 0.1111111111111111 x)) 1.0)
29.0ms	(+ y (/ 0.1111111111111111 x))
40.0ms	(* 3.0 (sqrt x))
70.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

simplify840.0ms

Counts

92 → 92

Iterations

Useful iterations: done (837.0ms)

Iter	Nodes	Cost
0	150	1072
1	399	1002
2	1296	898
done	5001	884

prune209.0ms

Pruning

10 alts after pruning (10 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))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
57×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
12×	`associate-r`
11×	`pow1`
6×	`add-log-exp`
5×	`div-inv`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-/r*`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 133

Calls

4 calls:

16.0ms	(+ y (/ (/ 1.0 x) 9.0))
4.0ms	(* 3.0 (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)
236.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

series162.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ (/ 1.0 x) 9.0))
44.0ms	(* 3.0 (sqrt x))
18.0ms	(/ (/ 1.0 x) 9.0)
71.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

simplify1.3s

Counts

145 → 145

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	278	1811
1	678	1677
2	2084	1563
done	5000	1557

prune379.0ms

Pruning

10 alts after pruning (10 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))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
82.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
74.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
3.0ms	(/ 1.0 (* x 9.0))

series181.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ 1.0 (* x 9.0)))
64.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
68.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
21.0ms	(/ 1.0 (* x 9.0))

simplify835.0ms

Counts

110 → 110

Iterations

Useful iterations: done (832.0ms)

Iter	Nodes	Cost
0	177	1564
1	427	1484
2	1471	1350
done	5001	1338

prune208.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	16	14
done	16	14

end0.0ms

sample840.0ms

Algorithm

intervals

Results

274.0ms	8521×	body	80	valid
272.0ms	8541×	body	80	nan