Details

sample69.0ms

Algorithm

intervals

Results

25.0ms	217×	body	80	valid
10.0ms	42×	body	1280	valid
5.0ms	32×	body	640	valid
3.0ms	25×	body	320	valid
3.0ms	10×	body	2560	valid
0.0ms	5×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4000
4	612
3	172
2	65
1	22
0	9

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite35.0ms

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:

34.0ms

(* (- x z) y)

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* (- x z) y)

simplify595.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	440
1	110
0	49

prune93.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x z)) (cbrt (- x z)))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

33.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
4.0ms	(cbrt (- x z))
11.0ms	(cbrt (- x z))
5.0ms	(cbrt (- x z))

series817.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
189.0ms	(cbrt (- x z))
245.0ms	(cbrt (- x z))
246.0ms	(cbrt (- x z))

simplify828.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	998
1	286
0	131

prune529.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (* (- x z) (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-l`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `associate-r/`
1×	`flip3--` `associate-r` `*-commutative` `flip--`

Counts

4 → 56

Calls

4 calls:

38.0ms	(* (cbrt y) (* (- x z) (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

239.0ms	(* (cbrt y) (* (- x z) (cbrt y)))
269.0ms	(cbrt y)
277.0ms	(cbrt y)
309.0ms	(cbrt y)

simplify753.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	785
1	192
0	75

prune302.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.2b	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
3.3b	(sqrt (* (- x z) y))
3.3b	(sqrt (* (- x z) y))

rewrite126.0ms

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:

33.0ms	(* (- x z) y)
73.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
6.0ms	(sqrt (* (- x z) y))
7.0ms	(sqrt (* (- x z) y))

series795.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (- x z) y)
85.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
322.0ms	(sqrt (* (- x z) y))
354.0ms	(sqrt (* (- x z) y))

simplify861.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1458
1	297
0	126

prune896.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.1s

Algorithm

intervals

Results

490.0ms	7006×	body	80	valid
364.0ms	980×	body	1280	valid
361.0ms	967×	body	640	valid
148.0ms	183×	body	2560	valid
140.0ms	628×	body	320	valid
41.0ms	366×	body	160	valid