Details

sample70.0ms

Algorithm

intervals

Results

29.0ms	95×	body	1280	valid
9.0ms	40×	body	640	valid
6.0ms	33×	body	320	valid
5.0ms	13×	body	2560	valid
4.0ms	61×	body	80	valid
2.0ms	14×	body	160	valid

simplify886.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	43	12
3	87	12
4	181	12
5	297	12
6	389	12
7	459	12
8	521	12
done	521	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

22.0ms	(+ (* x y) z)
98.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* x y) z)
51.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.6s

Counts

35 → 35

Iterations

Useful iterations: 3 (589.0ms)

Iter	Nodes	Cost
0	65	500
1	176	483
2	564	449
3	2547	447
done	5000	447

prune150.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 45.3b

localize22.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (+ (* x y) z))
7.9b	(cbrt (+ (* x y) z))
7.9b	(cbrt (+ (* x y) z))
32.2b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

11.0ms	(cbrt (+ (* x y) z))
10.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
13.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series82.0ms

Calls

1 calls:

73.0ms

(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))