Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

293×

body

valid

simplify229.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite106.0ms

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:

56.0ms	(* x (+ (/ x y) 1.0))
47.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series102.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* x (+ (/ x y) 1.0))
66.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.6s

Counts

56 → 56

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	103	719
1	292	689
2	1068	593
3	4290	591
done	5001	591

prune116.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite86.0ms

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:

40.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
38.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series121.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
72.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.2s

Counts

152 → 152

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	207	2958
1	479	2772
2	1674	2658
done	5000	2646

prune336.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ x (- (/ x y) 1.0))
0.1b	(/ (+ 1.0 (/ x y)) (+ x 1.0))
0.2b	(* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0))
5.2b	(* (* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0)) (/ x (- (/ x y) 1.0)))

rewrite473.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
77×	`times-frac`
45×	`add-cube-cbrt`
34×	`add-exp-log` `add-cbrt-cube`
30×	`associate-r`
23×	`associate-l`
18×	`distribute-lft-out`
16×	`difference-of-squares`
12×	`prod-exp` `cbrt-unprod`
11×	`pow1` `frac-times`
10×	`associate-/r*`
8×	`cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `associate-/r/` `flip--` `distribute-lft-out--`
7×	`associate-r/` `associate-/l`
4×	`pow-prod-down` `div-inv` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

4 → 191

Calls

4 calls:

42.0ms	(/ x (- (/ x y) 1.0))
65.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
143.0ms	(* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0))
205.0ms	(* (* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0)) (/ x (- (/ x y) 1.0)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ x (- (/ x y) 1.0))
44.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
87.0ms	(* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0))
69.0ms	(* (* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0)) (/ x (- (/ x y) 1.0)))

simplify2.1s

Counts

203 → 203

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	280	4165
1	767	4057
2	3107	3557
done	5000	3556

prune572.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ x y) (/ x y))
0.3b	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
3.2b	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
8.1b	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

1482×	`times-frac`
895×	`add-sqr-sqrt`
877×	`*-un-lft-identity`
523×	`add-cube-cbrt`
249×	`difference-of-squares`
105×	`distribute-lft-out`
78×	`associate-/l*`
72×	`distribute-lft-out--`
62×	`associate-/r/`
39×	`div-inv`
32×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
27×	`flip3--` `flip--`
14×	`cbrt-undiv` `div-exp`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow2` `frac-times` `flip3-+` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+`

Counts

4 → 735

Calls

4 calls:

36.0ms	(* (/ x y) (/ x y))
65.0ms	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
62.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
167.0ms	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

series343.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (/ x y) (/ x y))
94.0ms	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
96.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
125.0ms	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

simplify2.0s

Counts

747 → 747

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	998	29433
1	2603	27863
done	5000	27293

prune2.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes74.0ms

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

sample1.3s

Algorithm

intervals

Results

920.0ms

9147×

body

valid