Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

411×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	15
1	26	15
2	46	15
3	72	15
4	80	15
done	80	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

11.0ms	(+ (+ (* x y) (* z t)) (* a b))
49.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
3.0ms	(+ (* x y) (* z t))

series301.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (+ (* x y) (* z t)) (* a b))
210.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
34.0ms	(+ (* x y) (* z t))

simplify1.6s

Counts

47 → 47

Iterations

Useful iterations: 3 (502.0ms)

Iter	Nodes	Cost
0	85	777
1	274	719
2	1040	689
3	4065	677
done	5000	677

prune136.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.0b	(sqrt (+ (* x y) (* z t)))
1.0b	(sqrt (+ (* x y) (* z t)))

rewrite32.0ms

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))
20.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x y) (* z t))
33.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
72.0ms	(sqrt (+ (* x y) (* z t)))
72.0ms	(sqrt (+ (* x y) (* z t)))

simplify277.0ms

Iterations

Useful iterations: 2 (69.0ms)

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