Details

sample48.0ms

Algorithm

intervals

Results

10.0ms	230×	body	80	valid
8.0ms	33×	body	320	valid
7.0ms	35×	body	1280	valid
4.0ms	23×	body	640	valid
1.0ms	5×	body	2560	valid
1.0ms	9×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite36.0ms

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

Counts

1 → 22

Calls

1 calls:

35.0ms

(* (- x z) y)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (- x z) y)

simplify1.5s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
3	1151
2	302
1	110
0	49

prune131.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite95.0ms

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×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

28.0ms	(* (- x z) (sqrt y))
65.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

series131.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(* (- x z) (sqrt y))
43.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

simplify2.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
3	2285
2	738
1	216
0	85

prune241.0ms

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))

rewrite107.0ms

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` `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 → 105

Calls

4 calls:

32.0ms	(* (- x z) y)
56.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
6.0ms	(sqrt (* (- x z) y))
6.0ms	(sqrt (* (- x z) y))

series859.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- x z) y)
93.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
371.0ms	(sqrt (* (- x z) y))
345.0ms	(sqrt (* (- x z) y))

simplify1.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5006
3	2147
2	694
1	290
0	126

prune410.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

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))

rewrite245.0ms

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×	`associate-*r/` `add-log-exp`
3×	`sqrt-unprod` `*-commutative` `unswap-sqr`
2×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

33.0ms	(* (- x z) y)
154.0ms	(* (* (sqrt (* (- x z) y)) (sqrt (- x z))) (sqrt y))
45.0ms	(* (sqrt (* (- x z) y)) (sqrt (- x z)))
7.0ms	(sqrt (* (- x z) y))

series568.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- x z) y)
141.0ms	(* (* (sqrt (* (- x z) y)) (sqrt (- x z))) (sqrt y))
70.0ms	(* (sqrt (* (- x z) y)) (sqrt (- x z)))
325.0ms	(sqrt (* (- x z) y))

simplify1.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1464
1	483
0	193

prune643.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.0s

Algorithm

intervals

Results

873.0ms	6937×	body	80	valid
326.0ms	998×	body	1280	valid
225.0ms	937×	body	640	valid
120.0ms	643×	body	320	valid
81.0ms	355×	body	160	valid
63.0ms	212×	body	2560	valid