Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

292×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	27	11
3	40	11
4	49	11
5	63	11
6	76	11
7	101	11
8	107	11
9	113	11
10	117	11
11	128	11
12	375	11
13	1893	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

30.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ (/ x y) 1.0))
44.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify693.0ms

Counts

56 → 56

Iterations

Useful iterations: 2 (286.0ms)

Iter	Nodes	Cost
0	103	719
1	304	689
2	1372	593
done	5001	593

prune105.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

23.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
21.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series109.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
65.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify710.0ms

Counts

152 → 152

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	207	2958
1	505	2772
2	2230	2658
done	5000	2658

prune259.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

61.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))

series986.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
244.0ms	(cbrt (+ (/ x y) 1.0))
236.0ms	(cbrt (+ (/ x y) 1.0))
236.0ms	(cbrt (+ (/ x y) 1.0))

simplify1.1s

Counts

107 → 107

Iterations

Useful iterations: 3 (281.0ms)

Iter	Nodes	Cost
0	101	1636
1	207	1515
2	641	1409
3	1977	1264
done	5001	1264

prune276.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
0.6b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.6b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.6b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

1062×	`times-frac`
1022×	`*-un-lft-identity`
641×	`cbrt-prod`
478×	`add-sqr-sqrt`
422×	`add-cube-cbrt`
264×	`distribute-lft-out`
134×	`swap-sqr`
74×	`associate-r` `associate-l`
49×	`associate-/r/`
28×	`div-inv`
21×	`flip3-+` `flip-+`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 559

Calls

4 calls:

195.0ms	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
14.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
14.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
15.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

series867.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
213.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
210.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
207.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify1.3s

Counts

571 → 571

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	534	19515
1	949	18152
2	3773	17842
done	5001	17830

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample377.0ms

Algorithm

intervals

Results

237.0ms

9108×

body

valid