Details

analyze459.0ms (21.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	68.6%	3.3%	9
40.6%	52.3%	7.2%	10
49.1%	42.1%	8.7%	11
51.5%	37.3%	11.3%	12
59.1%	27.1%	13.8%	13
63.7%	21.9%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.0s (49.4%)

Results

875.0ms	8256×	body	128	valid
67.0ms	677×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify29.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

299×	`fma-neg_binary64`
252×	`fma-def_binary64`
95×	`cancel-sign-sub-inv_binary64`
42×	`distribute-rgt-neg-in_binary64`
41×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x (+.f64 y z) (neg.f64 z))
	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (neg.f64 z))

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(fma.f64 x (+.f64 y z) (neg.f64 z))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 x (+.f64 y z) (neg.f64 z))

simplify65.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

639×	`distribute-rgt-in_binary64`
639×	`neg-mul-1_binary64`
617×	`distribute-lft-in_binary64`
453×	`unsub-neg_binary64`
338×	`distribute-rgt-neg-out_binary64`

Counts

46 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	471
1	55	450
2	130	450
3	459	450
4	2525	450
5	4192	450
6	5071	450

prune17.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (neg.f64 z))
▶	34.2b	(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))))

Compiler

Compiled 330 to 86 computations (73.9% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x (+.f64 y z) (neg.f64 z))
✓	0.0b	(sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)))
✓	0.2b	(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))))

series148.0ms (7.1%)

Counts

2 → 48

Calls

2 calls:

141.0ms	(sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)))
7.0ms	(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
18×	`pow1_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 68

Calls

2 calls:

5.0ms	(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))))
1.0ms	(sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)))

simplify91.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

819×	`times-frac_binary64`
764×	`fma-def_binary64`
323×	`cancel-sign-sub-inv_binary64`
173×	`associate-r_binary64`
135×	`associate-l_binary64`

Counts

116 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	2360
1	524	2182
2	1992	2100
3	4945	2100
4	4967	2100

prune94.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	218	2	220

Error

Counts

220 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (neg.f64 z))
✓	34.2b	(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (neg.f64 z))))

Compiler

Compiled 6302 to 1707 computations (72.9% saved)

regimes85.0ms (4.1%)

Accuracy

Total 0.0b remaining (21.8%)

Threshold costs 0.0b (21.8%)

Counts

22 → 1

Compiler

Compiled 1140 to 742 computations (34.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	14	10
3	15	10
4	15	10

end37.0ms (1.8%)

Compiler: Compiled 50 to 26 computations (48% saved)

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10

Details

analyze459.0ms (21.9%)

sample1.0s (49.4%)

simplify29.0ms (1.4%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite1.0ms (0%)

simplify65.0ms (3.1%)

prune17.0ms (0.8%)

localize7.0ms (0.3%)

series148.0ms (7.1%)

rewrite11.0ms (0.5%)

simplify91.0ms (4.3%)

prune94.0ms (4.5%)

regimes85.0ms (4.1%)

simplify2.0ms (0.1%)

end37.0ms (1.8%)

Profiling

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10