Details

sample15.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	10	5
3	12	5
4	13	5
done	13	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

45.0ms

(+ (+ x y) x)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(+ (+ x y) x)

simplify3.0s

Counts

18 → 18

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	32	145
1	80	140
2	239	130
3	813	122
4	3728	116
done	5000	116

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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)))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

47.0ms	(sqrt (+ (+ x y) x))
28.0ms	(+ (+ x y) x)
40.0ms	(+ (+ x y) x)
195.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (+ (+ x y) x))
31.0ms	(+ (+ x y) x)
29.0ms	(+ (+ x y) x)
40.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify2.2s

Counts

128 → 128

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	119	1813
1	243	1227
2	680	1143
3	2153	1053
done	5000	989

prune224.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ (* 2 x) y))
0.0b	(sqrt (+ (* 2 x) y))
0.2b	(* (sqrt (+ (* 2 x) y)) (sqrt (+ (* 2 x) y)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

10.0ms	(sqrt (+ (* 2 x) y))
17.0ms	(sqrt (+ (* 2 x) y))
106.0ms	(* (sqrt (+ (* 2 x) y)) (sqrt (+ (* 2 x) y)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(sqrt (+ (* 2 x) y))
48.0ms	(sqrt (+ (* 2 x) y))
50.0ms	(* (sqrt (+ (* 2 x) y)) (sqrt (+ (* 2 x) y)))

simplify3.1s

Counts

96 → 96

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	107	1533
1	228	1027
2	613	957
3	1654	909
done	5000	889

prune230.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	11	5
done	11	5

end0.0ms

sample492.0ms

Algorithm

intervals

Results

232.0ms

8005×

body

valid