Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	275×	body	80	valid
8.0ms	290×	body	80	nan

simplify96.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	75	14
4	92	14
5	109	14
6	124	14
7	155	14
8	166	14
done	166	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

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

Counts

4 → 154

Calls

4 calls:

57.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ y (* 3.0 (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))

series173.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
39.0ms	(* 3.0 (sqrt x))
64.0ms	(/ y (* 3.0 (sqrt x)))
18.0ms	(/ 1.0 (* x 9.0))

simplify1.2s

Counts

166 → 166

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	309	3815
1	767	3279
2	2438	2669
done	5000	2648

prune420.0ms

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

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

828×	`times-frac`
722×	`add-sqr-sqrt`
711×	`*-un-lft-identity`
538×	`add-cube-cbrt`
452×	`prod-diff`
239×	`sqrt-prod`
89×	`difference-of-squares`
87×	`distribute-lft-out--`
50×	`div-inv`
23×	`associate--l+`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`fma-neg`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 640

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
101.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))
8.0ms	(/ (/ y 3.0) (sqrt x))

series172.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
49.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
22.0ms	(/ 1.0 (* x 9.0))
62.0ms	(/ (/ y 3.0) (sqrt x))

simplify993.0ms

Counts

652 → 652

Iterations

Useful iterations: done (954.0ms)

Iter	Nodes	Cost
0	932	34751
1	2391	32032
done	5000	31558

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite422.0ms

Algorithm

rewrite-expression-head

Rules

1794×	`times-frac`
1758×	`add-sqr-sqrt`
1159×	`*-un-lft-identity`
986×	`add-cube-cbrt`
832×	`prod-diff`
317×	`sqrt-prod`
257×	`difference-of-squares`
131×	`associate--l+`
87×	`distribute-lft-out--`
86×	`div-inv`
26×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
10×	`fma-neg`
9×	`associate-/r*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `clear-num` `frac-sub` `associate-/l/`
1×	`associate--l-`

Counts

4 → 1073

Calls

4 calls:

25.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
263.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)
8.0ms	(/ (/ y 3.0) (sqrt x))

series165.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
48.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
24.0ms	(/ (/ 1.0 x) 9.0)
60.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.7s

Counts

1085 → 1085

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	1454	59763
1	3685	55417
done	5000	54813

prune3.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

1082×	`add-sqr-sqrt`
1077×	`times-frac`
819×	`*-un-lft-identity`
646×	`add-cube-cbrt`
570×	`prod-diff`
278×	`sqrt-prod`
173×	`difference-of-squares`
87×	`distribute-lft-out--`
56×	`div-inv`
41×	`associate--l+`
13×	`associate-/l*`
10×	`add-log-exp`
9×	`fma-neg`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
4×	`diff-log`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `div-exp` `flip--` `log1p-expm1-u`
2×	`frac-sub`
1×	`associate--l-` `frac-2neg` `clear-num` `associate-/l/`

Counts

3 → 737

Calls

3 calls:

8.0ms	(- 1.0 (/ 0.1111111111111111 x))
121.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
7.0ms	(/ (/ y 3.0) (sqrt x))

series146.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- 1.0 (/ 0.1111111111111111 x))
53.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
60.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.1s

Counts

746 → 746

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	1031	40332
1	2609	37156
done	5000	36648

prune2.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
done	12	14

end0.0ms

sample780.0ms

Algorithm

intervals

Results

274.0ms	8545×	body	80	valid
240.0ms	8558×	body	80	nan