Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

443×

body

valid

simplify73.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	15	15
1	27	14
2	60	12
3	107	12
4	126	12
5	128	12
done	128	12

prune8.0ms

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))

series324.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(fma a b (fma x y (* z t)))
223.0ms	(fma c i (fma a b (fma x y (* z t))))
38.0ms	(fma x y (* z t))

simplify1.1s

Counts

39 → 39

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	47	430
1	63	420
2	131	366
3	508	366
4	2885	366
done	5000	366

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))))
0.8b	(sqrt (fma x y (* z t)))
0.8b	(sqrt (fma x y (* z t)))

rewrite14.0ms

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))
9.0ms	(* (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)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma x y (* z t))
39.0ms	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
76.0ms	(sqrt (fma x y (* z t)))
72.0ms	(sqrt (fma x y (* z t)))

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	82	1472
1	149	995
2	426	901
3	1589	844
done	5000	840

prune290.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (* z t))
0.0b	(fma c i (fma a b (fma x y (* z t))))
0.2b	(pow (fma c i (fma a b (fma x y (* z t)))) 3)
41.8b	(cbrt (pow (fma c i (fma a b (fma x y (* z t)))) 3))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma x y (* z t))
0.0ms	(fma c i (fma a b (fma x y (* z t))))
1.0ms	(pow (fma c i (fma a b (fma x y (* z t)))) 3)
2.0ms	(cbrt (pow (fma c i (fma a b (fma x y (* z t)))) 3))

series9.9m

Calls

1 calls:

238.0ms

(cbrt (pow (fma c i (fma a b (fma x y (* z t)))) 3))