Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

286×

body

valid

simplify188.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	27	11
3	40	11
4	47	11
5	61	11
6	73	11
7	103	11
8	108	11
9	114	11
10	118	11
11	126	11
12	129	11
13	131	11
done	131	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
7.8b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite120.0ms

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:

22.0ms	(+ (/ x y) 1.0)
64.0ms	(* x (+ (/ x y) 1.0))
32.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series90.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
27.0ms	(* x (+ (/ x y) 1.0))
50.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.6s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	107	848
1	297	815
2	1072	709
3	4311	705
done	5001	705

prune245.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

15.0ms	(+ (/ x y) 1.0)
65.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
73.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series94.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
32.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
49.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify1.7s

Counts

102 → 102

Iterations

Useful iterations: 3 (669.0ms)

Iter	Nodes	Cost
0	132	1427
1	340	1358
2	1040	1236
3	2979	1230
done	5000	1230

prune238.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite128.0ms

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:

20.0ms	(+ (/ x y) 1.0)
44.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
52.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series148.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
47.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
87.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.0s

Counts

167 → 167

Iterations

Useful iterations: done (998.0ms)

Iter	Nodes	Cost
0	211	3087
1	484	2898
2	1678	2774
done	5000	2760

prune360.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

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))

rewrite150.0ms

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:

93.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
17.0ms	(cbrt (+ (/ x y) 1.0))
17.0ms	(cbrt (+ (/ x y) 1.0))
19.0ms	(cbrt (+ (/ x y) 1.0))

series1.4s

Counts

4 → 12

Calls

4 calls:

387.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
346.0ms	(cbrt (+ (/ x y) 1.0))
319.0ms	(cbrt (+ (/ x y) 1.0))
314.0ms	(cbrt (+ (/ x y) 1.0))

simplify2.7s

Counts

107 → 107

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	101	1636
1	204	1503
2	489	1409
3	1172	1264
4	3108	1240
done	5000	1149

prune297.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.1b 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	10	11
done	10	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

846.0ms

9073×

body

valid