Details

sample57.0ms

Algorithm

intervals

Results

19.0ms	274×	body	80	valid
12.0ms	260×	body	80	nan

simplify130.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

29.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
11.0ms	(/ y (* 3.0 (sqrt x)))
11.0ms	(* 3.0 (sqrt x))
9.0ms	(/ 1.0 (* x 9.0))

series209.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
86.0ms	(/ y (* 3.0 (sqrt x)))
53.0ms	(* 3.0 (sqrt x))
24.0ms	(/ 1.0 (* x 9.0))

simplify660.0ms

Counts: 90 → 90

prune323.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

33.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
10.0ms	(/ y (* 3.0 (sqrt x)))
18.0ms	(* 3.0 (sqrt x))
14.0ms	(/ (/ 1.0 x) 9.0)

series206.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
84.0ms	(/ y (* 3.0 (sqrt x)))
58.0ms	(* 3.0 (sqrt x))
21.0ms	(/ (/ 1.0 x) 9.0)

simplify912.0ms

Counts: 141 → 141

prune582.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

1560×	`times-frac`
739×	`add-sqr-sqrt`
735×	`add-cube-cbrt` `*-un-lft-identity`
568×	`sqrt-prod`
98×	`associate-/l*`
59×	`div-inv`
25×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 752

Calls

4 calls:

20.0ms	(/ y (* 3.0 (sqrt x)))
92.0ms	(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
20.0ms	(* 3.0 (sqrt x))
27.0ms	(/ (/ 1.0 x) (sqrt 9.0))

series420.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ y (* 3.0 (sqrt x)))
151.0ms	(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
63.0ms	(* 3.0 (sqrt x))
110.0ms	(/ (/ 1.0 x) (sqrt 9.0))

simplify1.1s

Counts: 764 → 764

prune2.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

119.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
10.0ms	(/ y (* 3.0 (sqrt x)))
11.0ms	(* 3.0 (sqrt x))

series223.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
94.0ms	(/ y (* 3.0 (sqrt x)))
52.0ms	(* 3.0 (sqrt x))

simplify682.0ms

Counts: 73 → 73

prune207.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

14.3% (0.2b remaining)

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

bsearch0.0ms

simplify172.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

827.0ms	8431×	body	80	nan
691.0ms	8532×	body	80	valid