Details

sample81.0ms

Algorithm

intervals

Results

18.0ms	229×	body	80	valid
16.0ms	26×	body	1280	valid
10.0ms	29×	body	640	valid
5.0ms	24×	body	320	valid
3.0ms	7×	body	2560	valid
2.0ms	15×	body	160	valid

simplify10.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3713
5	1137
4	391
3	168
2	60
1	21
0	9

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite50.0ms

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×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

49.0ms

(* (- x z) y)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (- x z) y)

simplify3.3s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
3	1297
2	313
1	115
0	52

prune288.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* y z))
0.0b	(- (- (* x y) (* y z)) (* y y))
10.4b	(+ (- (- (* x y) (* y z)) (* y y)) (* y y))

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
9×	`add-sqr-sqrt` `prod-diff`
8×	`associate-+l+`
7×	`*-un-lft-identity` `diff-log` `add-cube-cbrt`
6×	`associate--l+`
5×	`sub-neg`
4×	`fma-def` `fma-neg`
3×	`expm1-log1p-u` `pow1` `sum-log` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `flip--` `difference-of-squares`
1×	`associate--l-` `+-commutative` `flip3-+` `associate-+l-` `flip-+`

Counts

3 → 73

Calls

3 calls:

20.0ms	(- (* x y) (* y z))
103.0ms	(- (- (* x y) (* y z)) (* y y))
325.0ms	(+ (- (- (* x y) (* y z)) (* y y)) (* y y))

series168.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* x y) (* y z))
57.0ms	(- (- (* x y) (* y z)) (* y y))
55.0ms	(+ (- (- (* x y) (* y z)) (* y y)) (* y y))

simplify9.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	4754
2	1021
1	297
0	103

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize70.0ms

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))

rewrite335.0ms

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×	`expm1-log1p-u` `frac-times` `swap-sqr` `insert-posit16` `log1p-expm1-u` `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 → 117

Calls

4 calls:

55.0ms	(* (- x z) y)
216.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
31.0ms	(sqrt (* (- x z) y))
23.0ms	(sqrt (* (- x z) y))

series1.6s

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- x z) y)
109.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
714.0ms	(sqrt (* (- x z) y))
734.0ms	(sqrt (* (- x z) y))

simplify6.3s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
3	2772
2	774
1	307
0	135

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes700.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	7048×	body	80	valid
467.0ms	956×	body	1280	valid
435.0ms	1020×	body	640	valid
143.0ms	610×	body	320	valid
99.0ms	213×	body	2560	valid
59.0ms	380×	body	160	valid