Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x 2.0) y)
16.5b	(/ (+ x y) (* (* x 2.0) y))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`times-frac` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r` `pow-prod-down`
2×	`associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`frac-2neg` `flip3-+` `associate-l` `clear-num` `associate-/r` `-commutative` `flip-+` `div-inv`

Counts

2 → 45

Calls

2 calls:

24.0ms	(* (* x 2.0) y)
50.0ms	(/ (+ x y) (* (* x 2.0) y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (* x 2.0) y)
70.0ms	(/ (+ x y) (* (* x 2.0) y))

simplify41.0ms

Counts: 51 → 51

prune103.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 y) (/ 1 x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`distribute-lft-out`
6×	`times-frac`
4×	`div-inv`
3×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 19

Calls

1 calls:

37.0ms

(+ (/ 1 y) (/ 1 x))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(+ (/ 1 y) (/ 1 x))

simplify110.0ms

Counts: 22 → 22

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) y)
0.2b	(/ 1 (* x 2.0))
7.9b	(* (/ 1 (* x 2.0)) (/ (+ x y) y))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
38×	`*-un-lft-identity`
31×	`times-frac` `add-cbrt-cube`
29×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
23×	`prod-exp`
20×	`div-exp`
16×	`associate-r`
10×	`cbrt-undiv`
9×	`cbrt-unprod`
8×	`pow1`
7×	`associate-l` `distribute-lft-out` `associate-/l*`
6×	`rec-exp` `1-exp`
4×	`associate-/r*` `div-inv`
3×	`add-log-exp`
2×	`pow-flip` `frac-2neg` `pow-prod-down` `clear-num` `associate-/l/` `unswap-sqr`
1×	`frac-times` `flip3-+` `associate-r/` `associate-l/` `*-commutative` `flip-+` `inv-pow`

Counts

3 → 118

Calls

3 calls:

18.0ms	(/ (+ x y) y)
11.0ms	(/ 1 (* x 2.0))
72.0ms	(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series101.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (+ x y) y)
22.0ms	(/ 1 (* x 2.0))
58.0ms	(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify54.0ms

Counts: 127 → 127

prune215.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (+ x y) (* x 2.0))
8.4b	(* (/ (+ x y) (* x 2.0)) (/ 1 y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
28×	`add-cbrt-cube`
20×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`times-frac`
17×	`prod-exp`
16×	`div-exp`
13×	`add-cube-cbrt` `associate-r`
9×	`cbrt-undiv` `cbrt-unprod`
8×	`associate-l`
4×	`pow1` `associate-/l*`
3×	`rec-exp` `1-exp` `div-inv` `distribute-lft-out` `unswap-sqr`
2×	`associate-/l/` `add-log-exp`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `un-div-inv` `-commutative` `flip-+`

Counts

2 → 80

Calls

2 calls:

29.0ms	(/ (+ x y) (* x 2.0))
59.0ms	(* (/ (+ x y) (* x 2.0)) (/ 1 y))

series102.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (+ x y) (* x 2.0))
55.0ms	(* (/ (+ x y) (* x 2.0)) (/ 1 y))

simplify46.0ms

Counts: 86 → 86

prune141.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0.7% (8.4b remaining)

Error of 8.4b against oracle of 0.0b and baseline of 8.5b

bsearch89.0ms

Steps

Iters	Range		Point
7	2.4249926631773306e-29	1.8982386372946613e-27	1.5003823122464018e-27
10	-8.373435852096508e+65	-2.1079763698630507e+52	-2.1344161616579373e+52

simplify83.0ms

end0.0ms

sample603.0ms

Algorithm

intervals

Results

317.0ms

8001×

body

valid