Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

356×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	8	15
1	15	15
2	25	13
3	38	9
4	46	9
5	47	9
done	47	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

11.0ms	(+ (+ (* x y) (* z z)) (* z z))
47.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series99.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (+ (* x y) (* z z)) (* z z))
48.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify1.2s

Counts

33 → 33

Iterations

Useful iterations: 3 (268.0ms)

Iter	Nodes	Cost
0	56	625
1	166	520
2	673	460
3	2331	382
done	5000	382

prune90.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 2 (pow z 2)) (* x y))) (cbrt (+ (* 2 (pow z 2)) (* x y))))
3.5b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.5b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.5b	(cbrt (+ (* 2 (pow z 2)) (* x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

27.0ms	(* (cbrt (+ (* 2 (pow z 2)) (* x y))) (cbrt (+ (* 2 (pow z 2)) (* x y))))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))

series483.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (+ (* 2 (pow z 2)) (* x y))) (cbrt (+ (* 2 (pow z 2)) (* x y))))
118.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
122.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
114.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))

simplify301.0ms

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	124	2420
1	288	2235
2	830	2017