Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

411×

body

valid

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	15	15
1	27	14
2	60	12
3	109	12
4	133	12
5	135	12
done	135	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

3 → 30

Calls

3 calls:

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

series343.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(fma a b (fma x y (* z t)))
239.0ms	(fma c i (fma a b (fma x y (* z t))))
41.0ms	(fma x y (* z t))

simplify978.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	47	430
1	63	420
2	140	366
3	526	366
4	2930	366
done	5000	366

prune139.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x y (* z t))
7.0ms	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
1.0ms	(sqrt (fma x y (* z t)))
1.0ms	(sqrt (fma x y (* z t)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(fma x y (* z t))
41.0ms	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
75.0ms	(sqrt (fma x y (* z t)))
78.0ms	(sqrt (fma x y (* z t)))

simplify179.0ms

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	82	1472
1	152	1001
2	477	901