Details

analyze1.1s (32.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample1.7s (50.8%)

Results

1.1s	8007×	body	128	valid
239.0ms	1930×	body	128	invalid
46.0ms	124×	body	1024	valid
24.0ms	83×	body	512	valid
8.0ms	42×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
317×	`associate-+l+_binary64`
210×	`associate-+r+_binary64`
79×	`distribute-rgt-in_binary64`
73×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	32	17
2	87	15
3	232	15
4	484	15
5	761	15
6	922	15
7	936	15
8	916	15

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Compiler

Compiled 60 to 37 computations (38.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

series18.0ms (0.6%)

Counts

1 → 48

Calls

1 calls:

18.0ms

(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

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 (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

simplify89.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

652×	`associate-/r/_binary64`
476×	`times-frac_binary64`
403×	`*-commutative_binary64`
295×	`distribute-rgt-in_binary64`
294×	`distribute-lft-in_binary64`

Counts

58 → 36

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	1128
1	94	938
2	191	822
3	375	822
4	1548	822
5	1595	822
6	2051	822
7	2189	822
8	3165	822
9	5066	822

prune22.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

Counts

37 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
▶	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

Compiler

Compiled 541 to 291 computations (46.2% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 2 (+.f64 y z) t))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

series31.0ms (1%)

Counts

2 → 96

Calls

2 calls:

16.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
16.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

3.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
0.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

simplify122.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
401×	`associate-*l/_binary64`
340×	`*-commutative_binary64`
311×	`sqr-pow_binary64`
278×	`distribute-lft-in_binary64`

Counts

128 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	2086
1	170	1615
2	433	1611
3	1581	1611
4	2611	1611
5	2923	1611
6	3319	1611
7	4819	1611
8	4807	1611

prune49.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	2	82

Error

Counts

82 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

Compiler

Compiled 1250 to 646 computations (48.3% saved)

regimes134.0ms (4.1%)

Accuracy

Total 0.0b remaining (15%)

Threshold costs 0.0b (15%)

Counts

26 → 1

Compiler

Compiled 1608 to 1156 computations (28.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
2	13	15

end49.0ms (1.5%)

Compiler: Compiled 60 to 40 computations (33.3% saved)

Details

analyze1.1s (32.1%)

sample1.7s (50.8%)

simplify18.0ms (0.5%)

prune5.0ms (0.2%)

localize7.0ms (0.2%)

series18.0ms (0.6%)

rewrite1.0ms (0%)

simplify89.0ms (2.7%)

prune22.0ms (0.7%)

localize9.0ms (0.3%)

series31.0ms (1%)

rewrite4.0ms (0.1%)

simplify122.0ms (3.7%)

prune49.0ms (1.5%)

regimes134.0ms (4.1%)

simplify2.0ms (0.1%)

end49.0ms (1.5%)

Profiling