Details

sample74.0ms

Algorithm

intervals

Results

28.0ms

446×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	6
1	62	4
2	121	4
3	158	4
4	164	4
5	164	4

prune6.0ms

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

series308.0ms

Counts

3 → 9

Calls

3 calls:

215.0ms	(fma i c (fma b a (fma x y (* z t))))
59.0ms	(fma b a (fma x y (* z t)))
34.0ms	(fma x y (* z t))

simplify99.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	64	163
1	149	142
2	636	142
3	4252	142
4	5001	142

prune150.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

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

series304.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma a b (* x y))
212.0ms	(fma i c (fma t z (fma a b (* x y))))
56.0ms	(fma t z (fma a b (* x y)))

simplify29.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	59	163
1	165	142
2	843	142
3	5002	142

prune127.0ms

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 t z (fma a b (* x y)))
0.0b	(fma i c (fma t z (fma a b (* x y))))
0.2b	(pow (fma i c (fma t z (fma a b (* x y)))) 3)
43.1b	(cbrt (pow (fma i c (fma t z (fma a b (* x y)))) 3))

rewrite7.0ms

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 t z (fma a b (* x y)))
0.0ms	(fma i c (fma t z (fma a b (* x y))))
3.0ms	(pow (fma i c (fma t z (fma a b (* x y)))) 3)
2.0ms	(cbrt (pow (fma i c (fma t z (fma a b (* x y)))) 3))

series10.0m

Calls

1 calls:

224.0ms

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