Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
4	12
3	11
2	8
1	6
0	4

prune2.0ms

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 y) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

18.0ms

(+ (+ x y) x)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(+ (+ x y) x)

simplify3.0s

Counts

19 → 19

Iterations

Iter	Nodes
done	5054
4	4280
3	878
2	244
1	81
0	33

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`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 → 109

Calls

4 calls:

108.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
10.0ms	(cbrt (+ (+ x y) x))
19.0ms	(cbrt (+ (+ x y) x))
26.0ms	(cbrt (+ (+ x y) x))

series1.3s

Counts

4 → 12

Calls

4 calls:

372.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
302.0ms	(cbrt (+ (+ x y) x))
348.0ms	(cbrt (+ (+ x y) x))
281.0ms	(cbrt (+ (+ x y) x))

simplify2.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	5003
3	2385
2	786
1	309
0	132

prune485.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ x y) x))
0.0b	(+ (+ x y) x)
0.0b	(+ (+ x y) x)
0.3b	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite192.0ms

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×	`sum-log` `add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-l/` `associate-r/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 120

Calls

4 calls:

19.0ms	(sqrt (+ (+ x y) x))
21.0ms	(+ (+ x y) x)
34.0ms	(+ (+ x y) x)
117.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (+ (+ x y) x))
25.0ms	(+ (+ x y) x)
41.0ms	(+ (+ x y) x)
58.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify1.9s

Counts

132 → 132

Iterations

Iter	Nodes
done	5003
3	2570
2	723
1	272
0	122

prune361.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	5

end0.0ms

sample433.0ms

Algorithm

intervals

Results

282.0ms

8000×

body

valid