Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	244×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	163
1	10	163
2	11	163
done	11	163

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

14.0ms

(+ x (/ (fabs (- y x)) 2.0))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify4.1s

Counts

15 → 15

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	31	3909
1	84	3538
2	215	3538
3	513	3538
4	1244	3538
5	3001	3538
done	5000	3538

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `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 → 95

Calls

4 calls:

100.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
59.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
73.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
101.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify187.0ms

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	160	59335