Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	32×	body	1280	valid
9.0ms	181×	body	80	valid
5.0ms	20×	body	640	valid
3.0ms	20×	body	320	valid
0.0ms	3×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	26	8
done	26	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(fma (cos y) z (+ x (sin y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

3.0ms	(+ x (sin y))
0.0ms	(fma (cos y) z (+ x (sin y)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ x (sin y))
39.0ms	(fma (cos y) z (+ x (sin y)))

simplify564.0ms

Counts

33 → 33

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	46	251
1	99	246
2	196	220
3	472	220
4	1577	220
done	5001	220

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (cos y) z (+ x (sin y))))
0.0b	(fma (cos y) z (+ x (sin y)))
0.0b	(fma (cos y) z (+ x (sin y)))
0.2b	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`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×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
0.0ms	(fma (cos y) z (+ x (sin y)))
0.0ms	(fma (cos y) z (+ x (sin y)))
7.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
42.0ms	(fma (cos y) z (+ x (sin y)))
39.0ms	(fma (cos y) z (+ x (sin y)))
43.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

simplify161.0ms

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	92	1716
1	181	1181
2	499	1044