Details

sample76.0ms

Algorithm

intervals

Results

23.0ms	229×	body	80	valid
9.0ms	29×	body	640	valid
9.0ms	26×	body	1280	valid
5.0ms	25×	body	320	valid
3.0ms	7×	body	2560	valid
2.0ms	14×	body	160	valid

simplify7.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
6	2493
5	753
4	332
3	159
2	63
1	22
0	9

prune57.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

66.0ms

(* (- x z) y)

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* (- x z) y)

simplify3.6s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
3	1242
2	305
1	111
0	50

prune209.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize92.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x y) (* y y)) (* y z))
0.0b	(+ (* x y) (* y y))
10.3b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite653.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
7×	`diff-log`
5×	`associate--l+`
4×	`add-sqr-sqrt`
3×	`pow1` `sum-log` `sub-neg` `*-un-lft-identity` `distribute-rgt-out` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`associate--l-` `+-commutative` `flip3-+` `flip-+` `difference-of-squares`

Counts

3 → 50

Calls

3 calls:

141.0ms	(- (+ (* x y) (* y y)) (* y z))
32.0ms	(+ (* x y) (* y y))
476.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series199.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (+ (* x y) (* y y)) (* y z))
51.0ms	(+ (* x y) (* y y))
88.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify8.8s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
3	4632
2	910
1	251
0	86

prune578.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.2b	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
2.2b	(sqrt (* (- x z) y))
2.2b	(sqrt (* (- x z) y))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3--` `associate-l` `flip--`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`pow-sqr` `sqrt-prod`
4×	`frac-times` `swap-sqr` `insert-posit16` `add-log-exp`
2×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

60.0ms	(* (- x z) y)
221.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
35.0ms	(sqrt (* (- x z) y))
18.0ms	(sqrt (* (- x z) y))

series1.6s

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- x z) y)
129.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
687.0ms	(sqrt (* (- x z) y))
731.0ms	(sqrt (* (- x z) y))

simplify4.5s

Counts

121 → 121

Iterations

Iter	Nodes
done	5004
3	2168
2	722
1	295
0	129

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes657.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	7045×	body	80	valid
422.0ms	1020×	body	640	valid
387.0ms	958×	body	1280	valid
168.0ms	613×	body	320	valid
144.0ms	214×	body	2560	valid
57.0ms	377×	body	160	valid