Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

346×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	18	11
2	24	11
3	25	11
done	25	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

11.0ms	(+ (+ (* x y) (* z t)) (* a b))
2.0ms	(+ (* x y) (* z t))

series89.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (+ (* x y) (* z t)) (* a b))
33.0ms	(+ (* x y) (* z t))

simplify789.0ms

Counts

30 → 30

Iterations

Useful iterations: 3 (200.0ms)

Iter	Nodes	Cost
0	57	421
1	186	395
2	623	373
3	2098	369
done	5000	369

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.2b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.8b	(sqrt (+ (* x y) (* z t)))
0.8b	(sqrt (+ (* x y) (* z t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ (* x y) (* z t))
21.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x y) (* z t))
38.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
75.0ms	(sqrt (+ (* x y) (* z t)))
72.0ms	(sqrt (+ (* x y) (* z t)))

simplify280.0ms

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	106	2066
1	241	1477
2	785	1367