Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

326×

body

valid

simplify441.0ms

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	49	9
5	56	9
6	62	9
7	79	9
8	106	9
9	130	9
10	164	9
11	192	9
12	205	9
13	214	9
done	214	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

10.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify941.0ms

Counts

14 → 14

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	33	214
1	114	201
2	387	183
3	1544	183
done	5000	183

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (- x 1.0) z))
0.0b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.0b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.3b	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

9.0ms	(+ (* x y) (* (- x 1.0) z))
10.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
8.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
66.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series694.0ms

Counts

4 → 12

Calls

4 calls:

436.0ms	(+ (* x y) (* (- x 1.0) z))
121.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
102.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
35.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify2.5s

Counts

110 → 110

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	113	2520
1	261	1801
2	787	1661
3	2945	1598
done	5001	1564

prune306.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
1.6b	(+ (* (* x y) (* x y)) (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))))
2.2b	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
40.1b	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* x y) (* x y)) (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y)))))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
24×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`associate-+r+` `flip3-+` `pow-sqr` `pow-prod-up` `flip-+`
3×	`associate-/r*`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 101

Calls

4 calls:

47.0ms	(* (* x y) (* x y))
55.0ms	(+ (* (* x y) (* x y)) (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))))
24.0ms	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
149.0ms	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* x y) (* x y)) (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y)))))

series806.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x y) (* x y))
164.0ms	(+ (* (* x y) (* x y)) (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))))
217.0ms	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
390.0ms	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* x y) (* x y)) (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y)))))

simplify1.5s

Counts

113 → 113

Iterations

Useful iterations: 2 (346.0ms)

Iter	Nodes	Cost
0	171	3576
1	456	3291
2	2172	3047
done	5001	3047

prune525.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

550.0ms

10155×

body

valid