Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

313×

body

valid

simplify484.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	47	9
5	55	9
6	66	9
7	87	9
8	120	9
9	149	9
10	169	9
11	180	9
12	198	9
13	207	9
done	207	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (- 1.0 y)))
0.0b	(* z (- 1.0 y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

13.0ms	(+ (* x y) (* z (- 1.0 y)))
28.0ms	(* z (- 1.0 y))

series106.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x y) (* z (- 1.0 y)))
42.0ms	(* z (- 1.0 y))

simplify1.6s

Counts

47 → 47

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	77	459
1	195	437
2	557	397
3	2134	397
done	5001	397

prune155.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 z) (* x y))
0.0b	(+ (+ (* 1.0 z) (* x y)) (* (- y) z))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `distribute-lft-neg-out` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `unsub-neg`

Counts

2 → 26

Calls

2 calls:

8.0ms	(+ (* 1.0 z) (* x y))
63.0ms	(+ (+ (* 1.0 z) (* x y)) (* (- y) z))

series106.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (* 1.0 z) (* x y))
52.0ms	(+ (+ (* 1.0 z) (* x y)) (* (- y) z))

simplify2.6s

Counts

32 → 32

Iterations

Useful iterations: 3 (940.0ms)

Iter	Nodes	Cost
0	53	453
1	183	413
2	735	358
3	2926	345
done	5000	345

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 z) (* x y))
0.2b	(* (* x y) (* x y))
1.2b	(- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y)))
24.1b	(/ (- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y))) (- (* 1.0 z) (* x y)))

rewrite630.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`difference-of-squares`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`sub-neg` `pow-plus` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 95

Calls

4 calls:

8.0ms	(- (* 1.0 z) (* x y))
37.0ms	(* (* x y) (* x y))
44.0ms	(- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y)))
538.0ms	(/ (- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y))) (- (* 1.0 z) (* x y)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* 1.0 z) (* x y))
44.0ms	(* (* x y) (* x y))
141.0ms	(- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y)))
123.0ms	(/ (- (* (* 1.0 z) (* 1.0 z)) (* (* x y) (* x y))) (- (* 1.0 z) (* x y)))

simplify1.5s

Counts

107 → 107

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	133	2119
1	361	1914
2	1589	1524
done	5000	1520

prune292.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 1.0 z) (- 1 (/ (* x y) (* 1.0 z))))
0.1b	(/ (* y x) (- (/ (* 1.0 z) (* x y)) 1))
3.2b	(/ (* x y) (* 1.0 z))
3.2b	(/ (* 1.0 z) (* x y))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
15×	`times-frac` `associate-/r*`
12×	`cbrt-undiv` `div-exp`
10×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `difference-of-squares`
4×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `div-inv` `associate-/l*` `distribute-lft-out--` `add-log-exp`
2×	`flip3--` `difference-of-sqr-1` `flip--`

Counts

4 → 102

Calls

4 calls:

59.0ms	(/ (* 1.0 z) (- 1 (/ (* x y) (* 1.0 z))))
48.0ms	(/ (* y x) (- (/ (* 1.0 z) (* x y)) 1))
13.0ms	(/ (* x y) (* 1.0 z))
13.0ms	(/ (* 1.0 z) (* x y))

series254.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (* 1.0 z) (- 1 (/ (* x y) (* 1.0 z))))
66.0ms	(/ (* y x) (- (/ (* 1.0 z) (* x y)) 1))
46.0ms	(/ (* x y) (* 1.0 z))
56.0ms	(/ (* 1.0 z) (* x y))

simplify1.6s

Counts

114 → 114

Iterations

Useful iterations: 2 (560.0ms)

Iter	Nodes	Cost
0	182	1696
1	480	1616
2	2699	1348
done	5000	1348

prune404.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	32
1	25	32
2	29	32
3	30	32
done	30	32

end0.0ms

sample1.1s

Algorithm

intervals

Results

569.0ms

10084×

body

valid