Details

sample83.0ms

Algorithm

intervals

Results

33.0ms	322×	body	80	nan
21.0ms	269×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	4385
8	1130
7	455
6	200
5	134
4	98
3	73
2	47
1	24
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
56×	`prod-diff`
42×	`add-cube-cbrt`
30×	`times-frac`
23×	`associate--l+`
16×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-lft-out--`
10×	`div-inv`
9×	`add-log-exp` `difference-of-squares`
6×	`pow1` `associate-r` `associate-/l*`
5×	`fma-neg`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`diff-log` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3--` `frac-sub` `flip--` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 154

Calls

4 calls:

146.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
6.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(* 3.0 (sqrt x))

series198.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
20.0ms	(/ 1.0 (* x 9.0))
76.0ms	(/ y (* 3.0 (sqrt x)))
45.0ms	(* 3.0 (sqrt x))

simplify2.1s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	4154
1	814
0	309

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.2b	(/ 1.0 (* x 9.0))
0.4b	(/ (/ y 3.0) (sqrt x))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

819×	`times-frac`
705×	`add-sqr-sqrt`
694×	`*-un-lft-identity`
523×	`add-cube-cbrt`
431×	`prod-diff`
239×	`sqrt-prod`
88×	`difference-of-squares`
86×	`distribute-lft-out--`
47×	`div-inv`
23×	`associate--l+`
16×	`associate-/l*`
13×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`cbrt-undiv` `fma-neg` `div-exp`
3×	`expm1-log1p-u` `pow1` `diff-log` `log1p-expm1-u`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 600

Calls

3 calls:

219.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
10.0ms	(/ 1.0 (* x 9.0))
11.0ms	(/ (/ y 3.0) (sqrt x))

series197.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
31.0ms	(/ 1.0 (* x 9.0))
80.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.4s

Counts

609 → 609

Iterations

Iter	Nodes
done	5000
1	2398
0	899

prune3.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (* x 9.0))
0.3b	(* (/ 1 (sqrt x)) (/ y 3.0))
0.3b	(* (/ 1 (sqrt x)) (/ y 3.0))
59.0b	(fma (- (/ 1 (sqrt x))) (/ y 3.0) (* (/ 1 (sqrt x)) (/ y 3.0)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-sqr-sqrt`
83×	`times-frac`
54×	`*-un-lft-identity`
53×	`add-exp-log`
46×	`add-cube-cbrt`
44×	`associate-l`
33×	`add-cbrt-cube`
26×	`associate-r` `sqrt-prod`
20×	`unswap-sqr`
18×	`div-exp`
17×	`prod-exp`
10×	`cbrt-undiv`
9×	`cbrt-unprod`
8×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `fma-udef`

Counts

4 → 175

Calls

4 calls:

6.0ms	(/ 1.0 (* x 9.0))
29.0ms	(* (/ 1 (sqrt x)) (/ y 3.0))
37.0ms	(* (/ 1 (sqrt x)) (/ y 3.0))
0.0ms	(fma (- (/ 1 (sqrt x))) (/ y 3.0) (* (/ 1 (sqrt x)) (/ y 3.0)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1.0 (* x 9.0))
111.0ms	(* (/ 1 (sqrt x)) (/ y 3.0))
104.0ms	(* (/ 1 (sqrt x)) (/ y 3.0))
181.0ms	(fma (- (/ 1 (sqrt x))) (/ y 3.0) (* (/ 1 (sqrt x)) (/ y 3.0)))

simplify2.0s

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
2	3388
1	607
0	217

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (/ y 3.0) (sqrt x))
0.4b	(* (/ 1.0 9.0) (/ 1 x))
0.4b	(* (/ 1.0 9.0) (/ 1 x))
60.8b	(fma (- (/ 1.0 9.0)) (/ 1 x) (* (/ 1.0 9.0) (/ 1 x)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

191×	`times-frac`
143×	`add-sqr-sqrt`
113×	`*-un-lft-identity`
109×	`add-cube-cbrt`
53×	`add-exp-log`
42×	`sqrt-prod`
33×	`add-cbrt-cube`
26×	`associate-r` `associate-l`
19×	`div-exp`
16×	`prod-exp`
13×	`associate-/l*`
12×	`div-inv` `unswap-sqr`
11×	`cbrt-undiv`
8×	`pow1` `cbrt-unprod`
6×	`associate-/r*`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative`
1×	`clear-num` `frac-2neg` `fma-udef` `associate-/l/`

Counts

4 → 242

Calls

4 calls:

11.0ms	(/ (/ y 3.0) (sqrt x))
29.0ms	(* (/ 1.0 9.0) (/ 1 x))
37.0ms	(* (/ 1.0 9.0) (/ 1 x))
1.0ms	(fma (- (/ 1.0 9.0)) (/ 1 x) (* (/ 1.0 9.0) (/ 1 x)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (/ y 3.0) (sqrt x))
33.0ms	(* (/ 1.0 9.0) (/ 1 x))
20.0ms	(* (/ 1.0 9.0) (/ 1 x))
97.0ms	(fma (- (/ 1.0 9.0)) (/ 1 x) (* (/ 1.0 9.0) (/ 1 x)))

simplify2.9s

Counts

254 → 254

Iterations

Iter	Nodes
done	5001
2	4677
1	926
0	351

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	33
2	33
1	29
0	18

end0.0ms

sample1.6s

Algorithm

intervals

Results

702.0ms	8492×	body	80	valid
484.0ms	8588×	body	80	nan