Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

286×

body

valid

simplify259.0ms

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: 9.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
9.2b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite129.0ms

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:

26.0ms	(+ (/ x y) 1.0)
63.0ms	(* x (+ (/ x y) 1.0))
37.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series129.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (/ x y) 1.0)
39.0ms	(* x (+ (/ x y) 1.0))
68.0ms	(/ (* 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

prune215.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite118.0ms

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:

17.0ms	(+ (/ x y) 1.0)
38.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
55.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series155.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
59.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
83.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.2s

Counts

167 → 167

Iterations

Useful iterations: done (1.2s)

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

prune399.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ x y))
0.1b	(* (+ 1.0 (/ x y)) x)
9.2b	(/ (* 1 (* (+ 1.0 (/ x y)) x)) (+ x 1.0))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

11.0ms	(+ 1.0 (/ x y))
63.0ms	(* (+ 1.0 (/ x y)) x)
71.0ms	(/ (* 1 (* (+ 1.0 (/ x y)) x)) (+ x 1.0))

series101.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ 1.0 (/ x y))
32.0ms	(* (+ 1.0 (/ x y)) x)
55.0ms	(/ (* 1 (* (+ 1.0 (/ x y)) x)) (+ x 1.0))

simplify1.7s

Counts

73 → 73

Iterations

Useful iterations: 2 (226.0ms)

Iter	Nodes	Cost
0	123	987
1	327	890
2	1241	754
done	5000	754

prune199.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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))))
3.6b	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
10.4b	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

rewrite764.0ms

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:

24.0ms	(* (/ x y) (/ x y))
50.0ms	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
441.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
129.0ms	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

series328.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (/ x y) (/ x y))
104.0ms	(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
86.0ms	(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
109.0ms	(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

simplify1.7s

Counts

747 → 747

Iterations

Useful iterations: done (1.6s)

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

prune2.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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	10	11
done	10	11

end0.0ms

sample711.0ms

Algorithm

intervals

Results

453.0ms

9148×

body

valid