Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

290×

body

valid

simplify9.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
16	3947
15	3510
14	2565
13	2194
12	1549
11	1249
10	839
9	609
8	379
7	210
6	100
5	52
4	33
3	25
2	19
1	10
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

27.0ms	(+ (+ (* x y) x) y)
11.0ms	(+ (* x y) x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (+ (* x y) x) y)
34.0ms	(+ (* x y) x)

simplify1.6s

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
3	1839
2	524
1	146
0	51

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.1b	(* (* (+ (* x y) x) (+ (* x y) x)) (+ (* x y) x))
0.1b	(* (+ (* x y) x) (+ (* x y) x))
38.0b	(cbrt (* (* (+ (* x y) x) (+ (* x y) x)) (+ (* x y) x)))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 142

Calls

4 calls:

13.0ms	(+ (* x y) x)
140.0ms	(* (* (+ (* x y) x) (+ (* x y) x)) (+ (* x y) x))
75.0ms	(* (+ (* x y) x) (+ (* x y) x))
104.0ms	(cbrt (* (* (+ (* x y) x) (+ (* x y) x)) (+ (* x y) x)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* x y) x)
47.0ms	(* (* (+ (* x y) x) (+ (* x y) x)) (+ (* x y) x))
37.0ms	(* (+ (* x y) x) (+ (* x y) x))
49.0ms	(cbrt (* (* (+ (* x y) x) (+ (* x y) x)) (+ (* x y) x)))

simplify2.1s

Counts

154 → 154

Iterations

Iter	Nodes
done	5005
2	2673
1	619
0	183

prune491.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* x y) x))
0.0b	(+ (* x y) x)
0.0b	(+ (* x y) x)
0.2b	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`swap-sqr` `add-log-exp`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `sum-log` `associate-l/` `associate-r/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

14.0ms	(sqrt (+ (* x y) x))
13.0ms	(+ (* x y) x)
17.0ms	(+ (* x y) x)
43.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (+ (* x y) x))
37.0ms	(+ (* x y) x)
59.0ms	(+ (* x y) x)
56.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
3	1866
2	633
1	242
0	108

prune360.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `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 → 91

Calls

4 calls:

59.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
4.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))

series344.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
80.0ms	(cbrt (+ (* x y) x))
86.0ms	(cbrt (+ (* x y) x))
76.0ms	(cbrt (+ (* x y) x))

simplify1.8s

Counts

103 → 103

Iterations

Iter	Nodes
done	5055
3	2836
2	953
1	371
0	145

prune572.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes135.0ms

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	8
1	8
0	5

end0.0ms

sample655.0ms

Algorithm

intervals

Results

447.0ms	9158×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid