Details

sample57.0ms

Algorithm

intervals

Results

16.0ms	274×	body	80	valid
14.0ms	265×	body	80	nan

simplify142.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

143.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
14.0ms	(/ y (* 3.0 (sqrt x)))
17.0ms	(* 3.0 (sqrt x))
12.0ms	(/ 1.0 (* x 9.0))

series225.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
85.0ms	(/ y (* 3.0 (sqrt x)))
50.0ms	(* 3.0 (sqrt x))
27.0ms	(/ 1.0 (* x 9.0))

simplify745.0ms

Counts: 97 → 97

prune241.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* 3.0 (sqrt x)))
0.3b	(* y (/ 1 (* 3.0 (sqrt x))))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
25×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
11×	`pow1`
10×	`div-exp`
9×	`times-frac`
7×	`cbrt-unprod`
6×	`cbrt-undiv` `associate-l` `associate-/l*`
4×	`rec-exp` `1-exp` `sqrt-prod` `add-log-exp`
3×	`pow-prod-down` `div-inv` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 103

Calls

4 calls:

23.0ms	(/ 1 (* 3.0 (sqrt x)))
63.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
14.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series227.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1 (* 3.0 (sqrt x)))
82.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
68.0ms	(* 3.0 (sqrt x))
26.0ms	(/ 1.0 (* x 9.0))

simplify940.0ms

Counts: 115 → 115

prune330.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (* (/ y 3.0) 1) (/ (sqrt 1) (sqrt x))))
0.2b	(/ (sqrt 1) (sqrt x))
0.3b	(* (* (/ y 3.0) 1) (/ (sqrt 1) (sqrt x)))
0.5b	(/ 1.0 (* x 9.0))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

78×	`sqrt-prod`
75×	`times-frac`
59×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`add-exp-log`
40×	`associate-r`
32×	`add-cbrt-cube`
19×	`prod-exp`
12×	`div-exp`
11×	`cbrt-unprod`
9×	`pow1` `associate-l/` `associate-/l` `add-log-exp`
8×	`cbrt-undiv`
7×	`associate-/r*`
6×	`frac-sub`
4×	`flip3--` `1-exp` `flip--`
3×	`frac-times` `diff-log` `associate-*r/` `pow-prod-down` `div-inv`
2×	`sub-neg` `frac-2neg` `associate--l+` `clear-num`
1×	`associate--l-` `sqrt-undiv` `associate-l` `*-commutative`

Counts

4 → 174

Calls

4 calls:

144.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (* (/ y 3.0) 1) (/ (sqrt 1) (sqrt x))))
9.0ms	(/ (sqrt 1) (sqrt x))
55.0ms	(* (* (/ y 3.0) 1) (/ (sqrt 1) (sqrt x)))
8.0ms	(/ 1.0 (* x 9.0))

series197.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (* (/ y 3.0) 1) (/ (sqrt 1) (sqrt x))))
38.0ms	(/ (sqrt 1) (sqrt x))
85.0ms	(* (* (/ y 3.0) 1) (/ (sqrt 1) (sqrt x)))
26.0ms	(/ 1.0 (* x 9.0))

simplify1.6s

Counts: 186 → 186

prune589.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (* (/ y 3.0) 1) (sqrt (/ 1 x))))
0.1b	(sqrt (/ 1 x))
0.3b	(* (* (/ y 3.0) 1) (sqrt (/ 1 x)))
0.5b	(/ 1.0 (* x 9.0))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

26×	`sqrt-prod`
25×	`add-sqr-sqrt`
23×	`add-exp-log` `times-frac`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`add-cbrt-cube`
16×	`associate-r`
11×	`pow1`
10×	`prod-exp`
9×	`associate-*l/` `add-log-exp`
7×	`sqrt-div`
6×	`frac-sub` `cbrt-unprod`
4×	`flip3--` `div-exp` `flip--`
3×	`cbrt-undiv` `frac-times` `rem-sqrt-square` `sqrt-pow1` `diff-log` `associate-r/` `pow-prod-down` `div-inv` `associate-/l`
2×	`sub-neg` `1-exp` `associate--l+`
1×	`associate--l-` `pow-flip` `frac-2neg` `pow1/2` `associate-l` `clear-num` `associate-/r` `-commutative` `inv-pow`

Counts

4 → 109

Calls

4 calls:

111.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (* (/ y 3.0) 1) (sqrt (/ 1 x))))
7.0ms	(sqrt (/ 1 x))
73.0ms	(* (* (/ y 3.0) 1) (sqrt (/ 1 x)))
13.0ms	(/ 1.0 (* x 9.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (* (/ y 3.0) 1) (sqrt (/ 1 x))))
27.0ms	(sqrt (/ 1 x))
58.0ms	(* (* (/ y 3.0) 1) (sqrt (/ 1 x)))
18.0ms	(/ 1.0 (* x 9.0))

simplify903.0ms

Counts: 121 → 121

prune367.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes71.0ms

Accuracy

-3.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.1s

end0.0ms

sample1.8s

Algorithm

intervals

Results

621.0ms	8493×	body	80	nan
585.0ms	8529×	body	80	valid