Details

sample45.0ms

Algorithm

intervals

Results

21.0ms

285×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	28	11
3	41	11
4	52	11
5	66	11
6	78	11
7	108	11
8	124	11
9	137	11
10	143	11
11	248	11
12	538	11
13	1421	11
14	3957	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
7.1b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

25.0ms	(+ (/ x y) 1.0)
99.0ms	(* x (+ (/ x y) 1.0))
55.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series137.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (/ x y) 1.0)
42.0ms	(* x (+ (/ x y) 1.0))
76.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.4s

Counts

71 → 71

Iterations

Useful iterations: 2 (396.0ms)

Iter	Nodes	Cost
0	107	848
1	329	821
2	1961	723
done	5000	723

prune406.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
146×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 158

Calls

3 calls:

28.0ms	(+ (/ x y) 1.0)
83.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
66.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series228.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (/ x y) 1.0)
90.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
118.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify2.0s

Counts

167 → 167

Iterations

Useful iterations: 2 (644.0ms)

Iter	Nodes	Cost
0	211	3087
1	570	2926
2	3263	2778
done	5000	2778

prune841.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.0b	(/ x (+ x 1.0))
0.0b	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

32.0ms	(+ (/ x y) 1.0)
21.0ms	(/ x (+ x 1.0))
147.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series175.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (/ x y) 1.0)
66.0ms	(/ x (+ x 1.0))
80.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify2.3s

Counts

98 → 98

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	145	1206
1	509	1167
2	2988	1065
done	5000	1063

prune614.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite230.0ms

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:

154.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
19.0ms	(cbrt (+ (/ x y) 1.0))
30.0ms	(cbrt (+ (/ x y) 1.0))
22.0ms	(cbrt (+ (/ x y) 1.0))

series1.6s

Counts

4 → 12

Calls

4 calls:

427.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
389.0ms	(cbrt (+ (/ x y) 1.0))
405.0ms	(cbrt (+ (/ x y) 1.0))
416.0ms	(cbrt (+ (/ x y) 1.0))

simplify7.6s

Counts

107 → 107

Iterations

Useful iterations: done (7.6s)

Iter	Nodes	Cost
0	101	1636
1	226	1503
2	752	1409
3	4354	1273
done	5000	1266

prune623.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

9144×

body

valid