Metrics for Kahan p13 Example 1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 37 to 12 computations (67.6% saved)

sample1.3s (20.8%)

Memory

18.7MiB live, 1 109.6MiB allocated

Samples

636.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 470.0ms

ival-mult: 179.0ms (38.1% of total)

ival-div: 144.0ms (30.6% of total)

ival-add: 130.0ms (27.7% of total)

exact: 8.0ms (1.7% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain215.0ms (3.5%)

Memory

10.4MiB live, 202.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))`
-	-	`t`
-	-	`#s(literal 1 binary64)`
-	-	`(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))`
-	-	`(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))`
-	-	`(+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))`
-	-	`#s(literal 2 binary64)`
-	-	`(+.f64 #s(literal 1 binary64) t)`
-	-	`(*.f64 #s(literal 2 binary64) t)`
-	-	`(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 239 to 34 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 7.0ms (32.9% of total)

ival-div: 6.0ms (28.2% of total)

ival-mult: 6.0ms (28.2% of total)

exact: 1.0ms (4.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess337.0ms (5.6%)

Memory

-2.6MiB live, 195.7MiB allocated

Algorithm

1×	egg-herbie

Rules

21 370×	`lower-fma.f64`
21 370×	`lower-fma.f32`
4 054×	`lower-*.f32`
4 050×	`lower-*.f64`
1 848×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	79
1	36	71
2	99	62
3	386	62
4	1556	62
5	3812	62
6	5504	62
7	7117	62
8	7588	62
9	7838	62
10	7936	62
0	10	35
0	17	35
1	29	31
2	55	31
3	126	31
4	208	31
5	248	31
6	393	31
7	551	31
8	692	31
9	756	31
10	839	31
11	1197	31
12	2048	29
13	3386	29
14	5487	29
15	5926	29
16	5971	29
17	5978	29
18	5984	29
19	7068	29
0	8144	26

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Outputs
#<batchref>
#<batchref>

Compiler

Compiled 35 to 10 computations (71.4% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Status

Accuracy

Program

▶

100.0%

(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Compiler

Compiled 35 to 10 computations (71.4% saved)

simplify229.0ms (3.8%)

Memory

6.1MiB live, 209.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
cost-diff	192	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
cost-diff	832	(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))

Rules

21 370×	`lower-fma.f64`
21 370×	`lower-fma.f32`
4 054×	`lower-*.f32`
4 050×	`lower-*.f64`
1 848×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	100
0	17	100
1	29	90
2	55	90
3	126	90
4	208	90
5	248	90
6	393	90
7	551	90
8	692	90
9	756	90
10	839	90
11	1197	90
12	2048	88
13	3386	88
14	5487	88
15	5926	88
16	5971	88
17	5978	88
18	5984	88
19	7068	88
0	8144	80

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
(+.f64 #s(literal 1 binary64) t)
(+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

localize78.0ms (1.3%)

Memory

-15.0MiB live, 32.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
accuracy	0.00390625	(+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
accuracy	0.03125	(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))

Samples

44.0ms

256×

valid

Compiler

Compiled 102 to 12 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 30.0ms (81.2% of total)

ival-add: 3.0ms (8.1% of total)

ival-mult: 3.0ms (8.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	((* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (/ (* 2 t) (+ 1 t)))
1.0ms	t	@	0	((* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (/ (* 2 t) (+ 1 t)))
1.0ms	t	@	-inf	((* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (/ (* 2 t) (+ 1 t)))

Time

Variable

Point

Expression

1.0ms

inf

((* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (/ (* 2 t) (+ 1 t)))

1.0ms

((* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (/ (* 2 t) (+ 1 t)))

1.0ms

-inf

((* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (/ (* 2 t) (+ 1 t)))

simplify167.0ms (2.8%)

Memory

17.1MiB live, 127.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 584×	`lower-fma.f64`
12 584×	`lower-fma.f32`
2 766×	`lower-*.f64`
2 766×	`lower-*.f32`
2 516×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	518
1	399	518
2	918	478
3	2055	460
4	5337	454
0	8095	427

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 4 (pow t 2))
(* (pow t 2) (+ 4 (* -8 t)))
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
1
(+ 1 (* 4 (pow t 2)))
(+ 1 (* (pow t 2) (+ 4 (* -8 t))))
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
2
(+ 2 (* 4 (pow t 2)))
(+ 2 (* (pow t 2) (+ 4 (* -8 t))))
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
(* 2 t)
(* t (+ 2 (* -2 t)))
(* t (+ 2 (* t (- (* 2 t) 2))))
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))
4
(- 4 (* 8 (/ 1 t)))
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5
(- 5 (* 8 (/ 1 t)))
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
6
(- 6 (* 8 (/ 1 t)))
(- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
2
(- 2 (* 2 (/ 1 t)))
(- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t)))
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))
4
(- 4 (* 8 (/ 1 t)))
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
5
(- 5 (* 8 (/ 1 t)))
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
6
(- 6 (* 8 (/ 1 t)))
(+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
2
(- 2 (* 2 (/ 1 t)))
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))

Outputs
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rewrite202.0ms (3.3%)

Memory

-5.2MiB live, 195.9MiB allocated

Rules

4 438×	`lower-/.f64`
4 438×	`lower-/.f32`
3 412×	`lower-*.f64`
3 412×	`lower-*.f32`
2 928×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	588
0	135	503
1	1118	488
0	8184	445

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

5 → 48

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
(+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))

Outputs
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eval29.0ms (0.5%)

Memory: 14.3MiB live, 52.4MiB allocated
Compiler: Compiled 4 974 to 381 computations (92.3% saved)

prune35.0ms (0.6%)

Memory

-0.7MiB live, 36.0MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	153	9	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	153	10	163

Accuracy

100.0%

Counts

163 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
	47.9%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(approx (+ 2 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t))))
▶	54.5%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
	53.8%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
	54.7%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64)))
▶	47.9%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)))
	48.7%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))
▶	47.8%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
▶	55.9%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
▶	61.8%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))

Compiler

Compiled 205 to 146 computations (28.8% saved)

simplify195.0ms (3.2%)

Memory

-21.3MiB live, 132.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t))
cost-diff	0	(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)
cost-diff	0	(-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t))
cost-diff	0	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)))
cost-diff	0	(-.f64 t #s(literal 2 binary64))
cost-diff	0	(fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(literal 2/9 binary64) t)
cost-diff	0	(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
cost-diff	0	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
cost-diff	0	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
cost-diff	0	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))

Rules

5 804×	`lower-fma.f32`
5 800×	`lower-fma.f64`
2 588×	`lower-*.f32`
2 586×	`lower-*.f64`
2 178×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	304
0	46	304
1	76	284
2	143	284
3	317	284
4	702	284
5	1379	284
6	3006	284
7	6907	284
0	8264	274

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
#s(literal 5/6 binary64)
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
#s(literal 5/6 binary64)
(/.f64 #s(literal 2/9 binary64) t)
#s(literal 2/9 binary64)
t
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64))
(-.f64 t #s(literal 2 binary64))
t
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 t t)
#s(literal 1/2 binary64)
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t))
#s(literal 5/6 binary64)
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)
(-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t))
#s(literal 2/9 binary64)
(/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)
(+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64))
(/.f64 #s(literal 4/81 binary64) t)
#s(literal 4/81 binary64)
t
#s(literal 1/27 binary64)

Outputs
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localize98.0ms (1.6%)

Memory

11.1MiB live, 137.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.23828125	(/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)
accuracy	0.2421875	(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)
accuracy	0.3671875	(/.f64 #s(literal 4/81 binary64) t)
accuracy	33.31648548762165	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)))
accuracy	0	(-.f64 t #s(literal 2 binary64))
accuracy	0	(*.f64 t t)
accuracy	0.0703125	(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
accuracy	29.091311611773914	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
accuracy	0.02734375	(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
accuracy	0.3984375	(/.f64 #s(literal 2/9 binary64) t)
accuracy	33.378872966198834	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
accuracy	28.233425592491614	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
accuracy	24.420226967139204	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))

Samples

81.0ms

256×

valid

Compiler

Compiled 273 to 31 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

const: 19.0ms (28.1% of total)

ival-mult: 17.0ms (25.2% of total)

ival-sub: 14.0ms (20.7% of total)

ival-div: 10.0ms (14.8% of total)

ival-add: 7.0ms (10.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series45.0ms (0.7%)

Memory

-18.5MiB live, 19.0MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 2/9 binary64) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 t t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 4/81 binary64) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 #s(literal 2/9 binary64) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 #s(literal 2/9 binary64) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 #s(literal 2/9 binary64) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 #s(literal 2/9 binary64) t) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ 2/9 t)) (/ 2/9 t) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (+ (* (+ (* (- t 2) t) 1) (* t t)) 1/2) (+ (* (- t 2) t) 1) (- t 2) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ (- 2/9 (/ (+ (/ 4/81 t) 1/27) t)) t)) (/ (- 2/9 (/ (+ (/ 4/81 t) 1/27) t)) t) (- 2/9 (/ (+ (/ 4/81 t) 1/27) t)) (* t t) (/ 4/81 t) (/ (+ (/ 4/81 t) 1/27) t))

2.0ms

((/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ 2/9 t)) (/ 2/9 t) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (+ (* (+ (* (- t 2) t) 1) (* t t)) 1/2) (+ (* (- t 2) t) 1) (- t 2) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ (- 2/9 (/ (+ (/ 4/81 t) 1/27) t)) t)) (/ (- 2/9 (/ (+ (/ 4/81 t) 1/27) t)) t) (- 2/9 (/ (+ (/ 4/81 t) 1/27) t)) (* t t) (/ 4/81 t) (/ (+ (/ 4/81 t) 1/27) t))

2.0ms

inf

((/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ 2/9 t)) (/ 2/9 t) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (+ (* (+ (* (- t 2) t) 1) (* t t)) 1/2) (+ (* (- t 2) t) 1) (- t 2) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ (- 2/9 (/ (+ (/ 4/81 t) 1/27) t)) t)) (/ (- 2/9 (/ (+ (/ 4/81 t) 1/27) t)) t) (- 2/9 (/ (+ (/ 4/81 t) 1/27) t)) (* t t) (/ 4/81 t) (/ (+ (/ 4/81 t) 1/27) t))

simplify145.0ms (2.4%)

Memory

31.3MiB live, 113.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 294×	`lower-fma.f64`
9 294×	`lower-fma.f32`
2 942×	`lower-*.f64`
2 942×	`lower-*.f32`
1 538×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1326
1	336	1276
2	857	1226
3	2168	1158
4	5862	1158
0	8377	1108

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

Calls

Call 1

Inputs
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(/ -2/9 t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
1
(+ 1 (* -2 t))
(+ 1 (* t (- t 2)))
(+ 1 (* t (- t 2)))
-2
(- t 2)
(- t 2)
(- t 2)
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(/ 4/81 (pow t 3))
(/ (+ 4/81 (* 1/27 t)) (pow t 3))
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))
(/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3))
(/ -4/81 (pow t 3))
(/ (- (* -1/27 t) 4/81) (pow t 3))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))
(/ -4/81 (pow t 2))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ 4/81 t)
(/ 4/81 t)
(/ 4/81 t)
(/ 4/81 t)
(/ 4/81 (pow t 2))
(/ (+ 4/81 (* 1/27 t)) (pow t 2))
(/ (+ 4/81 (* 1/27 t)) (pow t 2))
(/ (+ 4/81 (* 1/27 t)) (pow t 2))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
t
(* t (- 1 (* 2 (/ 1 t))))
(* t (- 1 (* 2 (/ 1 t))))
(* t (- 1 (* 2 (/ 1 t))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(/ 2/9 t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)
2/9
(- 2/9 (* 1/27 (/ 1 t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ 4/81 t)
(/ 4/81 t)
(/ 4/81 t)
(/ 4/81 t)
(/ 1/27 t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
t
(* -1 (* t (- (* 2 (/ 1 t)) 1)))
(* -1 (* t (- (* 2 (/ 1 t)) 1)))
(* -1 (* t (- (* 2 (/ 1 t)) 1)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(/ 2/9 t)
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))
2/9
(- 2/9 (* 1/27 (/ 1 t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ 4/81 t)
(/ 4/81 t)
(/ 4/81 t)
(/ 4/81 t)
(/ 1/27 t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)

Outputs
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rewrite231.0ms (3.8%)

Memory

-53.7MiB live, 188.4MiB allocated

Rules

4 656×	`lower-fma.f64`
4 656×	`lower-fma.f32`
4 260×	`lower-*.f64`
4 260×	`lower-*.f32`
3 968×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1516
0	128	1309
1	926	1277
0	8254	1200

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

16 → 353

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(/.f64 #s(literal 2/9 binary64) t)
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64))
(-.f64 t #s(literal 2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t))
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)
(-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t))
(*.f64 t t)
(/.f64 #s(literal 4/81 binary64) t)
(/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)

Outputs
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eval129.0ms (2.1%)

Memory: -2.0MiB live, 160.1MiB allocated
Compiler: Compiled 6 279 to 791 computations (87.4% saved)

prune39.0ms (0.6%)

Memory

9.8MiB live, 132.1MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	541	2	543
Fresh	2	2	4
Picked	0	5	5
Done	0	1	1
Total	543	10	553

Accuracy

100.0%

Counts

553 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
▶	54.7%	(fma.f64 t t #s(literal 1/2 binary64))
✓	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
▶	47.9%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(approx (+ 2 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t))))
✓	54.5%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
✓	47.9%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)))
▶	48.7%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))
✓	47.8%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
✓	55.9%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
✓	61.8%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))

Compiler

Compiled 118 to 76 computations (35.6% saved)

simplify163.0ms (2.7%)

Memory

1.3MiB live, 152.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	-6144	(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 t t)
cost-diff	0	(fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64))
cost-diff	0	(fma.f64 t t #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(approx (+ 2 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
cost-diff	832	(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
cost-diff	0	(-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
cost-diff	0	(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
cost-diff	0	(-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
cost-diff	0	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))

Rules

4 466×	`lower-fma.f32`
4 460×	`lower-fma.f64`
2 516×	`lower-*.f32`
2 510×	`lower-*.f64`
1 256×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	221
0	53	221
1	81	207
2	145	207
3	302	207
4	566	207
5	950	207
6	2135	207
7	4950	207
8	6242	207
9	6675	207
10	7258	207
11	7862	207
0	8041	194

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
#s(literal 5/6 binary64)
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
#s(literal 2/9 binary64)
(/.f64 #s(literal 1/27 binary64) t)
#s(literal 1/27 binary64)
t
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(approx (+ 2 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
(+.f64 #s(literal 1 binary64) t)
#s(approx (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t)))
(-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t))
#s(literal 6 binary64)
(/.f64 #s(literal 8 binary64) t)
#s(literal 8 binary64)
(fma.f64 t t #s(literal 1/2 binary64))
t
#s(literal 1/2 binary64)
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64))
#s(literal -2 binary64)
t
#s(literal 1 binary64)
(*.f64 t t)
#s(literal 1/2 binary64)

Outputs
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localize117.0ms (1.9%)

Memory

-40.0MiB live, 133.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64))
accuracy	0	(*.f64 t t)
accuracy	0.0390625	(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
accuracy	0	(fma.f64 t t #s(literal 1/2 binary64))
accuracy	0.00390625	(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
accuracy	0.03125	(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
accuracy	33.530246841988536	#s(approx (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t)))
accuracy	0.02734375	(-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
accuracy	0.25	(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
accuracy	0.33984375	(/.f64 #s(literal 1/27 binary64) t)
accuracy	32.80592836469615	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))

Samples

53.0ms

256×

valid

Compiler

Compiled 205 to 31 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-add: 9.0ms (23.3% of total)

const: 9.0ms (23.3% of total)

ival-div: 8.0ms (20.7% of total)

ival-mult: 8.0ms (20.7% of total)

ival-sub: 3.0ms (7.8% of total)

exact: 1.0ms (2.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(approx (+ 2 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 t t #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 t t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/27 binary64) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (- 2/9 (/ 1/27 t)) t) (- 2/9 (/ 1/27 t)) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (/ (* 2 t) (+ 1 t)) (+ (* t t) 1/2) (+ (* -2 t) 1) (* t t) (+ (* (+ (* -2 t) 1) (* t t)) 1/2) (/ 1/27 t) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

1.0ms

inf

((/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (- 2/9 (/ 1/27 t)) t) (- 2/9 (/ 1/27 t)) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (/ (* 2 t) (+ 1 t)) (+ (* t t) 1/2) (+ (* -2 t) 1) (* t t) (+ (* (+ (* -2 t) 1) (* t t)) 1/2) (/ 1/27 t) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

1.0ms

((/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (- 2/9 (/ 1/27 t)) t) (- 2/9 (/ 1/27 t)) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (/ (* 2 t) (+ 1 t)) (+ (* t t) 1/2) (+ (* -2 t) 1) (* t t) (+ (* (+ (* -2 t) 1) (* t t)) 1/2) (/ 1/27 t) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

simplify232.0ms (3.8%)

Memory

-4.3MiB live, 188.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 604×	`lower-fma.f64`
17 604×	`lower-fma.f32`
4 194×	`lower-+.f64`
4 194×	`lower-+.f32`
3 188×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	1144
1	502	1120
2	1271	1052
3	3226	1034
4	7327	1034
0	8166	963

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(/ 1/27 (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/ -1/27 (pow t 2))
(/ (- (* 2/9 t) 1/27) (pow t 2))
(/ (- (* 2/9 t) 1/27) (pow t 2))
(/ (- (* 2/9 t) 1/27) (pow t 2))
(/ -1/27 t)
(/ (- (* 2/9 t) 1/27) t)
(/ (- (* 2/9 t) 1/27) t)
(/ (- (* 2/9 t) 1/27) t)
(* 4 (pow t 2))
(* (pow t 2) (+ 4 (* -8 t)))
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))
1
(+ 1 (* 4 (pow t 2)))
(+ 1 (* (pow t 2) (+ 4 (* -8 t))))
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(* 2 t)
(* t (+ 2 (* -2 t)))
(* t (+ 2 (* t (- (* 2 t) 2))))
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (pow t 2))
(+ 1/2 (pow t 2))
1
(+ 1 (* -2 t))
(+ 1 (* -2 t))
(+ 1 (* -2 t))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
2
(+ 2 (* 4 (pow t 2)))
(+ 2 (* (pow t 2) (+ 4 (* -8 t))))
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(/ 2/9 t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
2/9
(- 2/9 (* 1/27 (/ 1 t)))
(- 2/9 (* 1/27 (/ 1 t)))
(- 2/9 (* 1/27 (/ 1 t)))
4
(- 4 (* 8 (/ 1 t)))
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
5
(- 5 (* 8 (/ 1 t)))
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
2
(- 2 (* 2 (/ 1 t)))
(- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t)))
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))
(pow t 2)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* -2 t)
(* t (- (/ 1 t) 2))
(* t (- (/ 1 t) 2))
(* t (- (/ 1 t) 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(* -2 (pow t 3))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
6
(- 6 (* 8 (/ 1 t)))
(- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(/ 2/9 t)
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
2/9
(- 2/9 (* 1/27 (/ 1 t)))
(- 2/9 (* 1/27 (/ 1 t)))
(- 2/9 (* 1/27 (/ 1 t)))
4
(- 4 (* 8 (/ 1 t)))
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
5
(- 5 (* 8 (/ 1 t)))
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
2
(- 2 (* 2 (/ 1 t)))
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))
(pow t 2)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* -2 t)
(* -1 (* t (- 2 (/ 1 t))))
(* -1 (* t (- 2 (/ 1 t))))
(* -1 (* t (- 2 (/ 1 t))))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(* -2 (pow t 3))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
6
(- 6 (* 8 (/ 1 t)))
(+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))

Outputs
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rewrite229.0ms (3.8%)

Memory

17.1MiB live, 203.9MiB allocated

Rules

4 654×	`lower-/.f64`
4 654×	`lower-/.f32`
4 486×	`lower-*.f64`
4 486×	`lower-*.f32`
2 894×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	1346
0	178	1179
1	1385	1179
0	8371	1095

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

14 → 205

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(approx (+ 2 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t))))
(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
(fma.f64 t t #s(literal 1/2 binary64))
(fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64))
(*.f64 t t)
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/27 binary64) t)
#s(approx (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t)))

Outputs
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eval64.0ms (1.1%)

Memory: 24.8MiB live, 106.9MiB allocated
Compiler: Compiled 6 715 to 761 computations (88.7% saved)

prune17.0ms (0.3%)

Memory

-19.9MiB live, 50.7MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	400	1	401
Fresh	0	0	0
Picked	1	3	4
Done	0	6	6
Total	401	10	411

Accuracy

100.0%

Counts

411 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.8%	(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
✓	54.7%	(fma.f64 t t #s(literal 1/2 binary64))
✓	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
✓	54.5%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
✓	47.9%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)))
✓	48.7%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))
✓	47.8%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
▶	27.4%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)))
✓	55.9%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
✓	61.8%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))

Compiler

Compiled 107 to 72 computations (32.7% saved)

simplify198.0ms (3.3%)

Memory

0.8MiB live, 142.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t)
cost-diff	0	(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)
cost-diff	0	#s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))
cost-diff	0	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)))

Rules

4 902×	`lower-fma.f32`
4 898×	`lower-fma.f64`
2 374×	`lower-*.f64`
2 374×	`lower-*.f32`
2 104×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	113
0	30	113
1	55	109
2	109	109
3	246	109
4	447	109
5	692	109
6	1680	109
7	4046	109
8	6082	109
9	7117	109
10	7921	109
0	8010	105

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)))
#s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)
(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t)
(fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64))
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64))
#s(literal 5/6 binary64)
t
#s(literal -2/9 binary64)
#s(literal 1/27 binary64)

Outputs
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localize129.0ms (2.1%)

Memory

-11.3MiB live, 181.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64))
accuracy	0.2421875	(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)
accuracy	13.252580319796762	(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t)
accuracy	32.80592836469615	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)))

Samples

77.0ms	243×	0	valid
4.0ms	9×	1	valid
2.0ms	4×	2	valid

Compiler

Compiled 88 to 26 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-add: 22.0ms (33.5% of total)

ival-div: 15.0ms (22.9% of total)

const: 13.0ms (19.8% of total)

ival-mult: 11.0ms (16.8% of total)

ival-sub: 3.0ms (4.6% of total)

adjust: 1.0ms (1.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) t) (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (+ (* 5/6 t) -2/9))

1.0ms

inf

((/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) t) (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (+ (* 5/6 t) -2/9))

1.0ms

((/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/ (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) t) (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (+ (* 5/6 t) -2/9))

simplify114.0ms (1.9%)

Memory

29.5MiB live, 146.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 976×	`lower-fma.f64`
6 976×	`lower-fma.f32`
2 238×	`lower-*.f64`
2 238×	`lower-*.f32`
1 478×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	442
1	176	410
2	417	410
3	934	402
4	2204	398
5	4323	392
6	6274	392
0	8100	360

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(/ 1/27 (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/ 1/27 (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/ 1/27 t)
(/ (+ 1/27 (* -2/9 t)) t)
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t)
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) t)
-2/9
(- (* 5/6 t) 2/9)
(- (* 5/6 t) 2/9)
(- (* 5/6 t) 2/9)
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(* 5/6 t)
(* t (- 5/6 (* 2/9 (/ 1 t))))
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))))
(* t (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t))))
(* 5/6 t)
(* t (- 5/6 (* 2/9 (/ 1 t))))
(* t (- 5/6 (* 2/9 (/ 1 t))))
(* t (- 5/6 (* 2/9 (/ 1 t))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(* 5/6 t)
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6)))
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6)))
(* -1 (* t (- (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)) 5/6)))
(* 5/6 t)
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6)))
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6)))
(* -1 (* t (- (* 2/9 (/ 1 t)) 5/6)))

Outputs
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rewrite163.0ms (2.7%)

Memory

1.1MiB live, 197.6MiB allocated

Rules

4 212×	`lower-*.f64`
4 212×	`lower-*.f32`
3 922×	`lower-fma.f64`
3 922×	`lower-fma.f32`
3 046×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	532
0	70	460
1	496	430
2	4665	430
0	8493	406

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

5 → 98

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)))
#s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)
(/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t)
(fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64))

Outputs
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eval92.0ms (1.5%)

Memory: -39.4MiB live, 52.5MiB allocated
Compiler: Compiled 2 891 to 526 computations (81.8% saved)

prune12.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	156	12	168

Accuracy

100.0%

Counts

168 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.8%	(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
✓	54.7%	(fma.f64 t t #s(literal 1/2 binary64))
✓	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
✓	54.5%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
✓	47.9%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)))
✓	48.7%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))
✓	47.8%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
	26.7%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) (*.f64 t t))))
✓	27.4%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)))
	47.7%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64))) t)))
✓	55.9%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
✓	61.8%	#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))

Compiler

Compiled 297 to 153 computations (48.5% saved)

regimes43.0ms (0.7%)

Memory

0.9MiB live, 38.7MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64)))
(fma.f64 t t #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64))) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) (*.f64 t t))))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(approx (+ 2 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Outputs

(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Calls

4 calls:

29.0ms	(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
5.0ms	t
4.0ms	(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
4.0ms	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Results

Accuracy	Segments	Branch
100.0%	1	`t`
100.0%	1	`(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))`
100.0%	1	`(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))`
100.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))`

Compiler

Compiled 58 to 24 computations (58.6% saved)

regimes35.0ms (0.6%)

Memory

-8.5MiB live, 30.0MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64)))
(fma.f64 t t #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64))) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) (*.f64 t t))))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(approx (+ 2 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t))))

Outputs

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t)))

Calls

4 calls:

22.0ms	(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
4.0ms	t
4.0ms	(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
4.0ms	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Results

Accuracy	Segments	Branch
99.5%	3	`t`
99.5%	2	`(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))`
99.5%	2	`(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))`
99.5%	2	`(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))`

Compiler

Compiled 58 to 24 computations (58.6% saved)

regimes12.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64)))
(fma.f64 t t #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64))) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) (*.f64 t t))))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) t) t)))

Outputs

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)))

Calls

3 calls:

4.0ms

(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))

3.0ms

(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))

3.0ms

(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Results

Accuracy	Segments	Branch
99.3%	2	`(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))`
99.3%	2	`(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))`
99.3%	2	`(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))`

Compiler

Compiled 57 to 23 computations (59.6% saved)

regimes26.0ms (0.4%)

Memory

-20.1MiB live, 19.1MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64)))
(fma.f64 t t #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64))) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64)) t #s(literal 1/27 binary64)) (*.f64 t t))))

Outputs

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))

Calls

3 calls:

19.0ms

(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))

3.0ms

(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))

3.0ms

(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Results

Accuracy	Segments	Branch
98.9%	2	`(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))`
98.9%	2	`(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))`
98.9%	2	`(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))`

Compiler

Compiled 57 to 23 computations (59.6% saved)

regimes9.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64)))
(fma.f64 t t #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64))) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64))

Outputs

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))

Calls

3 calls:

3.0ms

(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))

3.0ms

(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))

2.0ms

(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Results

Accuracy	Segments	Branch
98.9%	2	`(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))`
98.9%	2	`(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))`
98.9%	2	`(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))`

Compiler

Compiled 57 to 23 computations (59.6% saved)

regimes32.0ms (0.5%)

Memory

-30.8MiB live, 13.5MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64)))
(fma.f64 t t #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(approx (- 5/6 (/ (- 2/9 (/ 1/27 t)) t)) (/.f64 #s(approx (/ (+ (* (+ (* 5/6 t) -2/9) t) 1/27) t) (fma.f64 #s(literal 5/6 binary64) t #s(literal -2/9 binary64))) t)))

Outputs

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64)))

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))

Calls

3 calls:

27.0ms

(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))

2.0ms

(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))

2.0ms

(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Results

Accuracy	Segments	Branch
98.8%	2	`(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))`
98.8%	2	`(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))`
98.8%	2	`(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))`

Compiler

Compiled 57 to 23 computations (59.6% saved)

regimes6.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64)))
(fma.f64 t t #s(literal 1/2 binary64))

Outputs

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64)))

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))

Calls

3 calls:

2.0ms

(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))

2.0ms

(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))

2.0ms

(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))`
98.1%	2	`(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))`
98.1%	2	`(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))`

Compiler

Compiled 57 to 23 computations (59.6% saved)

regimes5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))

Outputs

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))

#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64))

Calls

3 calls:

1.0ms

(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))

1.0ms

(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))

1.0ms

(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))`
98.1%	2	`(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))`
98.1%	2	`(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))`

Compiler

Compiled 57 to 23 computations (59.6% saved)

regimes8.0ms (0.1%)

Memory

-22.4MiB live, 14.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))

Outputs
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))

Calls

4 calls:

4.0ms	t
1.0ms	(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
1.0ms	(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))

Results

Accuracy	Segments	Branch
61.8%	1	`t`
61.8%	1	`(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))`
61.8%	1	`(.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))`
61.8%	1	`(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))`

Compiler

Compiled 58 to 24 computations (58.6% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.039420508116356e-12	1.9081804094741215

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.039420508116356e-12	1.9081804094741215

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.039420508116356e-12	1.9081804094741215

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.039420508116356e-12	1.9081804094741215

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.039420508116356e-12	1.9081804094741215

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.039420508116356e-12	1.9081804094741215

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch16.0ms (0.3%)

Memory

-4.0MiB live, 34.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.039420508116356e-12	1.9081804094741215

Samples

7.0ms

160×

valid

Compiler

Compiled 60 to 96 computations (-60% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (26% of total)

ival-add: 1.0ms (26% of total)

ival-mult: 1.0ms (26% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify90.0ms (1.5%)

Memory

-4.9MiB live, 82.6MiB allocated

Algorithm

1×	egg-herbie

Rules

232×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
156×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
150×	`neg-mul-1-binary64-*.f64-neg.f64`
100×	`neg-sub0-binary64--.f64-neg.f64`
98×	`distribute-neg-in-binary64-+.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	736
1	80	736
2	115	736
3	148	736
4	206	736
5	271	736
6	339	736
7	466	736
8	604	736
9	672	736
10	712	736
11	761	736
12	772	736
13	774	736

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (/ (+ 1 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (.f64 t t) #s(literal 1/2 binary64))) #s(approx (/ (+ 1 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t)) t))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (/ (+ 1 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (.f64 t t) #s(literal 1/2 binary64))) #s(approx (/ (+ 1 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (/ (+ 1 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 (-.f64 t #s(literal 2 binary64)) t #s(literal 1 binary64)) (.f64 t t) #s(literal 1/2 binary64))) #s(approx (/ (+ 1 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (/ (+ 1 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 (fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64)) (.f64 t t) #s(literal 1/2 binary64))) #s(approx (/ (+ 1 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (/ (+ 1 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64))) #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (/ (+ 1 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) (fma.f64 t t #s(literal 1/2 binary64))) #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)) #s(approx (/ (+ 1 ( (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64)) #s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 5/6 binary64)))
#s(approx (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))) #s(literal 1/2 binary64))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

soundness743.0ms (12.3%)

Memory

18.6MiB live, 412.3MiB allocated

Rules

12 584×	`lower-fma.f64`
12 584×	`lower-fma.f32`
2 766×	`lower-*.f64`
2 766×	`lower-*.f32`
2 516×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	518
1	399	518
2	918	478
3	2055	460
4	5337	454
0	8095	427

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 289 to 124 computations (57.1% saved)

preprocess53.0ms (0.9%)

Memory: 24.7MiB live, 104.4MiB allocated
Compiler: Compiled 492 to 132 computations (73.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	60	736
1	80	736
2	115	736
3	148	736
4	206	736
5	271	736
6	339	736
7	466	736
8	604	736
9	672	736
10	712	736
11	761	736
12	772	736
13	774	736

Iter	Nodes	Cost
0	60	736
1	80	736
2	115	736
3	148	736
4	206	736
5	271	736
6	339	736
7	466	736
8	604	736
9	672	736
10	712	736
11	761	736
12	772	736
13	774	736

start0.0ms (0%)

analyze2.0ms (0%)

sample1.3s (20.8%)

explain215.0ms (3.5%)

preprocess337.0ms (5.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify229.0ms (3.8%)

localize78.0ms (1.3%)

series5.0ms (0.1%)

simplify167.0ms (2.8%)

rewrite202.0ms (3.3%)

eval29.0ms (0.5%)

prune35.0ms (0.6%)

simplify195.0ms (3.2%)

localize98.0ms (1.6%)

series45.0ms (0.7%)

simplify145.0ms (2.4%)

rewrite231.0ms (3.8%)

eval129.0ms (2.1%)

prune39.0ms (0.6%)

simplify163.0ms (2.7%)

localize117.0ms (1.9%)

series9.0ms (0.2%)

simplify232.0ms (3.8%)

rewrite229.0ms (3.8%)

eval64.0ms (1.1%)

prune17.0ms (0.3%)

simplify198.0ms (3.3%)

localize129.0ms (2.1%)

series4.0ms (0.1%)

simplify114.0ms (1.9%)

rewrite163.0ms (2.7%)

eval92.0ms (1.5%)

prune12.0ms (0.2%)

regimes43.0ms (0.7%)

regimes35.0ms (0.6%)

regimes12.0ms (0.2%)

regimes26.0ms (0.4%)

regimes9.0ms (0.1%)

regimes32.0ms (0.5%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.3%)

simplify90.0ms (1.5%)

soundness743.0ms (12.3%)

preprocess53.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	60	736
1	80	736
2	115	736
3	148	736
4	206	736
5	271	736
6	339	736
7	466	736
8	604	736
9	672	736
10	712	736
11	761	736
12	772	736
13	774	736