Details

sample38.0ms

Algorithm

intervals

Results

9.0ms	230×	body	80	valid
7.0ms	35×	body	1280	valid
4.0ms	34×	body	320	valid
3.0ms	22×	body	640	valid
1.0ms	5×	body	2560	valid
1.0ms	9×	body	160	valid

simplify5.0s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite34.0ms

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` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

32.0ms

(* (- x z) y)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (- x z) y)

simplify1.7s

Counts

27 → 27

Iterations

Iter	Nodes
done	5001
3	1277
2	309
1	114
0	51

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- x z) (sqrt y))
0.2b	(* (* (- x z) (sqrt y)) (sqrt y))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
9×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-l` `associate-*l/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

19.0ms	(* (- x z) (sqrt y))
53.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

series103.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (- x z) (sqrt y))
38.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

simplify2.1s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
3	2361
2	756
1	224
0	89

prune214.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.2b	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
2.0b	(sqrt (* (- x z) y))
2.0b	(sqrt (* (- x z) y))

rewrite108.0ms

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` `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 → 113

Calls

4 calls:

17.0ms	(* (- x z) y)
70.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
8.0ms	(sqrt (* (- x z) y))
8.0ms	(sqrt (* (- x z) y))

series730.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- x z) y)
104.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
269.0ms	(sqrt (* (- x z) y))
304.0ms	(sqrt (* (- x z) y))

simplify2.9s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
3	2823
2	775
1	306
0	132

prune498.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.1b	(* (* (sqrt (* (- x z) y)) (sqrt (- x z))) (sqrt y))
0.1b	(* (sqrt (* (- x z) y)) (sqrt (- x z)))
2.0b	(sqrt (* (- x z) y))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `associate-*l/`
26×	`sqrt-div`
21×	`add-sqr-sqrt`
17×	`associate-r` `pow-prod-down`
15×	`*-un-lft-identity`
14×	`flip3--` `flip--`
13×	`add-cbrt-cube` `add-exp-log`
12×	`sqrt-pow1`
11×	`add-cube-cbrt` `sqrt-prod`
10×	`associate-l`
8×	`frac-times`
6×	`pow1/2`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod` `*-commutative` `unswap-sqr`
2×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

26.0ms	(* (- x z) y)
156.0ms	(* (* (sqrt (* (- x z) y)) (sqrt (- x z))) (sqrt y))
49.0ms	(* (sqrt (* (- x z) y)) (sqrt (- x z)))
7.0ms	(sqrt (* (- x z) y))

series658.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- x z) y)
168.0ms	(* (* (sqrt (* (- x z) y)) (sqrt (- x z))) (sqrt y))
91.0ms	(* (sqrt (* (- x z) y)) (sqrt (- x z)))
351.0ms	(sqrt (* (- x z) y))

simplify1.9s

Counts

125 → 125

Iterations

Iter	Nodes
done	5004
2	1652
1	504
0	201

prune743.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes197.0ms

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

sample1.7s

Algorithm

intervals

Results

523.0ms	6940×	body	80	valid
368.0ms	997×	body	1280	valid
269.0ms	938×	body	640	valid
115.0ms	211×	body	2560	valid
99.0ms	641×	body	320	valid
36.0ms	355×	body	160	valid