Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
87.5%	43.7%	6.2%	50%	0%	0%	0%	5
93.8%	46.9%	3.1%	50%	0%	0%	0%	6
96.9%	48.4%	1.6%	50%	0%	0%	0%	7
98.4%	49.2%	0.8%	50%	0%	0%	0%	8
99.2%	49.6%	0.4%	50%	0%	0%	0%	9
99.6%	49.8%	0.2%	50%	0%	0%	0%	10
99.8%	49.9%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.7s (22%)

Memory

1.9MiB live, 1 459.8MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 734.0ms

ival-mult: 382.0ms (52% of total)

ival-div: 212.0ms (28.9% of total)

ival-sub: 83.0ms (11.3% of total)

ival->: 40.0ms (5.4% of total)

exact: 14.0ms (1.9% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain183.0ms (2.3%)

Memory

3.3MiB live, 239.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
184	-	-	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
62	-	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	-	`(*.f64 i i)`
0	-	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	-	`i`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	62	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	91
↳	`(*.f64 i i)`	overflow	124
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	o/o	61	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	91
↳	`(*.f64 i i)`	overflow	124
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	61
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	62
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	60	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	93
↳	`(*.f64 i i)`	underflow	120
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	60
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	33	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	93
↳	`(*.f64 i i)`	underflow	120
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	29	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	91
↳	`(*.f64 i i)`	overflow	124
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	n/o	1	0
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	62
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62

Confusion

	Predicted +	Predicted -
+	184	0
-	0	72

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	184	0	0
-	0	0	72

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	72
1	122
2	62

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 174 to 34 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 12.0ms (49.3% of total)

ival-div: 8.0ms (32.8% of total)

ival-sub: 3.0ms (12.3% of total)

exact: 1.0ms (4.1% of total)

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

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

preprocess264.0ms (3.4%)

Memory

5.9MiB live, 333.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 204×	`lower-fma.f64`
7 204×	`lower-fma.f32`
5 094×	`lower-*.f32`
5 086×	`lower-*.f64`
3 164×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	55	43
2	350	26
3	2861	26
4	7636	26
0	10	25
0	17	21
1	45	19
2	187	13
3	1060	13
4	3649	11
5	5292	11
6	7322	11
0	8036	10

Stop Event

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

Calls

Call 1

Inputs

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Outputs

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))

Symmetry

(abs i)

Compiler

Compiled 26 to 10 computations (61.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.3%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

30.3%

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Compiler

Compiled 26 to 10 computations (61.5% saved)

simplify223.0ms (2.8%)

Memory

9.7MiB live, 376.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff	320	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff	320	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
cost-diff	1664	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Rules

7 204×	`lower-fma.f64`
7 204×	`lower-fma.f32`
5 094×	`lower-*.f32`
5 086×	`lower-*.f64`
3 164×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	72
0	17	62
1	45	56
2	187	42
3	1060	42
4	3649	40
5	5292	40
6	7322	40
0	8036	38

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(.f64 (.f64 i i) (*.f64 i i))
(.f64 i (.f64 i (*.f64 i i)))
(*.f64 i i)
i
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(.f64 (.f64 i i) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)

localize31.0ms (0.4%)

Memory

-0.1MiB live, 76.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy	0.16015625	(.f64 (.f64 i i) (*.f64 i i))
accuracy	15.021011051274185	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy	41.1316942898547	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

19.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (50.9% of total)

ival-div: 3.0ms (25.4% of total)

ival-sub: 2.0ms (17% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-24.5MiB live, 13.4MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor inf i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor -inf i) (#s(alt (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) (patch (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (patch (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor 0 i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor 0 i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor 0 i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor 0 i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor inf i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor inf i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor inf i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor inf i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor -inf i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor -inf i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor -inf i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (pow i 4) (taylor -inf i) (#s(alt (.f64 (.f64 i i) (.f64 i i)) (patch (.f64 (.f64 i i) (.f64 i i)) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	i	@	inf	(- (* (* 2 i) (* 2 i)) 1)
1.0ms	i	@	inf	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
1.0ms	i	@	0	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms	i	@	inf	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms	i	@	0	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))

simplify241.0ms (3.1%)

Memory

22.8MiB live, 441.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 840×	`lower-fma.f64`
16 840×	`lower-fma.f32`
4 084×	`lower-*.f64`
4 084×	`lower-*.f32`
1 760×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	365
1	94	365
2	218	364
3	503	360
4	1053	360
5	2102	360
6	4010	360
7	6212	360
0	8170	348

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)

Outputs
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* 1/4 (pow i 2))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(* -1/4 (pow i 2))
(.f64 i (.f64 i #s(literal -1/4 binary64)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 (.f64 i i) (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 (.f64 i i) (fma.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (*.f64 i i))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (*.f64 i i))))))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))

rewrite464.0ms (5.9%)

Memory

-102.4MiB live, 390.2MiB allocated

Rules

5 018×	`lower-*.f32`
5 010×	`lower-*.f64`
4 240×	`lower-/.f32`
4 236×	`lower-/.f64`
3 978×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
0	17	47
1	75	41
2	653	29
0	8740	27

Stop Event

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

Counts

5 → 653

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(.f64 (.f64 i i) (*.f64 i i))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 i i))) (log.f64 (.f64 (.f64 i i) #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 i i) #s(literal -4 binary64))) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(neg.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(/.f64 i (/.f64 #s(literal 4 binary64) i))
(/.f64 i (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(/.f64 (.f64 i i) (.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 i i) #s(literal 2 binary64)) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 i (.f64 i (.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (*.f64 i i) #s(literal -4 binary64)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (.f64 i (.f64 i i)) (*.f64 i #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) (.f64 i #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) (neg.f64 (.f64 i #s(literal -2 binary64))))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -1/2 binary64)) (.f64 i #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 i i)) #s(literal -4 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i)))
(/.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) i))
(/.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i i))))
(/.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) (.f64 i (.f64 i i))))
(/.f64 (neg.f64 (.f64 i (.f64 i i))) (*.f64 i #s(literal -4 binary64)))
(/.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64))) (.f64 (.f64 i i) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/4 binary64)) (*.f64 i i))
(/.f64 (.f64 i (.f64 (*.f64 i i) #s(literal 1/4 binary64))) i)
(/.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (.f64 i i)) (*.f64 i i))
(/.f64 (.f64 (.f64 (*.f64 i i) #s(literal 1/4 binary64)) i) i)
(/.f64 (.f64 (neg.f64 (.f64 i i)) #s(literal 1 binary64)) (.f64 (.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 i i) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 i i))
(/.f64 (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) #s(literal 1 binary64)) i)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))) (.f64 (*.f64 i i) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/4 binary64))) (.f64 i i))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 i i))) (.f64 (/.f64 #s(literal 2 binary64) i) (.f64 i #s(literal -2 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 i i)) (.f64 (.f64 i i) #s(literal 1/2 binary64))) (.f64 (.f64 i i) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64)) (.f64 i i)) (.f64 (.f64 i i) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64)) (neg.f64 (.f64 i i))) (.f64 (.f64 i i) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64)) (.f64 (.f64 i i) #s(literal 1/2 binary64))) (.f64 i i))
(/.f64 (neg.f64 (.f64 (.f64 i i) #s(literal 1/2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))) (.f64 (.f64 i i) #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/4 binary64))) (neg.f64 (*.f64 i i)))
(/.f64 (neg.f64 (.f64 i (.f64 (*.f64 i i) #s(literal 1/4 binary64)))) (neg.f64 i))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i i)) #s(literal 4 binary64))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1 binary64)) (.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i i))) (.f64 (.f64 i i) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) i) (.f64 (.f64 i i) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 i #s(literal 1/4 binary64)) (.f64 i (.f64 i i))) (*.f64 i i))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i (*.f64 i i))) i)
(/.f64 (.f64 (.f64 i #s(literal 1/4 binary64)) (*.f64 i i)) i)
(/.f64 (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) i) (*.f64 i i))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i (.f64 i (.f64 i i)))) (*.f64 i i))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) i) (.f64 i (.f64 i (.f64 i i)))) i)
(/.f64 (.f64 (.f64 i (.f64 (.f64 i (*.f64 i i)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) i)) i)
(/.f64 (/.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) #s(literal 2 binary64)) (.f64 (*.f64 i i) #s(literal -2 binary64)))
(/.f64 (/.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) #s(literal -1 binary64)) (.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (/.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) #s(literal 4 binary64)) (neg.f64 (.f64 i i)))
(/.f64 (/.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 i #s(literal 4 binary64))) (neg.f64 i))
(/.f64 (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/4 binary64)) i) i)
(pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(.f64 i (.f64 (neg.f64 (.f64 i (.f64 i i))) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 i (.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/2 binary64))))
(.f64 i (.f64 (/.f64 #s(literal 1/4 binary64) i) (*.f64 i i)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(.f64 (.f64 i (.f64 i (.f64 i i))) (pow.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 i i)) #s(literal 1 binary64)))
(.f64 (.f64 i #s(literal 1/2 binary64)) (*.f64 i #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (.f64 i (.f64 i (*.f64 i i))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (*.f64 i i)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(.f64 (.f64 i (*.f64 i i)) (/.f64 #s(literal 1/4 binary64) i))
(.f64 (.f64 i (.f64 i i)) (.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64)))
(.f64 (.f64 i (.f64 i i)) (.f64 (neg.f64 i) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (.f64 i (.f64 i i)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) i)))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) i))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))))
(.f64 (neg.f64 (.f64 i i)) #s(literal -1/4 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 i i) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 i i)))
(.f64 (.f64 i #s(literal 1/4 binary64)) i)
(.f64 (.f64 i #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 i i)))
(.f64 (/.f64 #s(literal 1 binary64) i) (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) i) (.f64 i (*.f64 i i)))
(.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i (*.f64 i i))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) i) (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 i) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (neg.f64 i) (/.f64 (.f64 i (.f64 i i)) (.f64 (*.f64 i i) #s(literal -4 binary64))))
(.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (neg.f64 (.f64 i (.f64 i i))) (/.f64 i (.f64 (*.f64 i i) #s(literal -4 binary64))))
(.f64 (.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1/4 binary64) (.f64 i i)) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 i i) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 i i)))
(.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 i i) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 i i)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 i (*.f64 i i))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 #s(literal 1 binary64) (.f64 i (.f64 i i))) (/.f64 #s(literal 1/4 binary64) i))
(.f64 (neg.f64 (neg.f64 (.f64 i i))) #s(literal 1/4 binary64))
(.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/4 binary64))) i)
(+.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (.f64 i (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)))))
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(*.f64 (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))))) (.f64 #s(literal 256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))))))
(.f64 (/.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 i i))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (log.f64 (*.f64 i i))))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(neg.f64 (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 1 binary64))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 i (neg.f64 (neg.f64 (.f64 i (*.f64 i i)))))
(.f64 (.f64 i i) (*.f64 i i))
(.f64 (.f64 i i) (neg.f64 (neg.f64 (*.f64 i i))))
(.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i))))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(.f64 (.f64 i (*.f64 i i)) i)
(.f64 (.f64 i (*.f64 i i)) (neg.f64 (neg.f64 i)))
(.f64 (neg.f64 (.f64 i i)) (neg.f64 (*.f64 i i)))
(.f64 (neg.f64 i) (neg.f64 (.f64 i (*.f64 i i))))
(.f64 (neg.f64 (.f64 i (*.f64 i i))) (neg.f64 i))
(.f64 (neg.f64 (neg.f64 (.f64 i i))) (*.f64 i i))
(.f64 (neg.f64 (neg.f64 i)) (.f64 i (*.f64 i i)))
(.f64 (neg.f64 (neg.f64 (.f64 i (*.f64 i i)))) i)

eval83.0ms (1.1%)

Memory: -4.1MiB live, 192.5MiB allocated
Compiler: Compiled 20 815 to 1 781 computations (91.4% saved)

prune110.0ms (1.4%)

Memory

2.0MiB live, 289.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	754	6	760
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	755	6	761

Accuracy

100.0%

Counts

761 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.8%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	99.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	50.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
▶	49.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
▶	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
▶	50.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 106 to 70 computations (34% saved)

simplify168.0ms (2.1%)

Memory

8.3MiB live, 274.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 i i)
cost-diff	0	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff	0	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
cost-diff	0	(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
cost-diff	0	(*.f64 i #s(literal -1/4 binary64))
cost-diff	0	(.f64 i (.f64 i #s(literal -1/4 binary64)))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff	0	(*.f64 i i)
cost-diff	0	(/.f64 #s(literal 4 binary64) (*.f64 i i))
cost-diff	0	(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))

Rules

6 938×	`lower-fma.f32`
6 936×	`lower-fma.f64`
5 004×	`lower-*.f32`
4 996×	`lower-*.f64`
2 772×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	209
0	42	193
1	93	185
2	308	161
3	1343	161
4	4292	153
5	6595	153
0	8101	149

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
#s(literal 1 binary64)
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
#s(literal 16 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 i i))
#s(literal 4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
(.f64 i (.f64 i #s(literal -1/4 binary64)))
i
(*.f64 i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(*.f64 i i)
i
(fma.f64 i i #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i

Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
#s(literal 1 binary64)
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
#s(literal 16 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 i i))
#s(literal 4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
(.f64 i (.f64 i #s(literal -1/4 binary64)))
i
(*.f64 i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64))))))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(*.f64 i i)
i
(fma.f64 i i #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i

localize117.0ms (1.5%)

Memory

-18.2MiB live, 101.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
accuracy	0	(*.f64 i i)
accuracy	0.6689255730368893	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	31.770180104127608	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
accuracy	0	(*.f64 i i)
accuracy	0	(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
accuracy	0.09765625	(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
accuracy	31.907032782658312	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
accuracy	0	(.f64 i (.f64 i #s(literal -1/4 binary64)))
accuracy	0	(*.f64 i #s(literal -1/4 binary64))
accuracy	32.20858422702237	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
accuracy	31.582219328261054	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0	(*.f64 i i)
accuracy	0.00390625	(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
accuracy	0.6771139223322787	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
accuracy	0.8169522045776907	(/.f64 #s(literal 4 binary64) (*.f64 i i))

Samples

80.0ms

256×

valid

Compiler

Compiled 188 to 28 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 50.0ms (74.3% of total)

ival-mult: 10.0ms (14.9% of total)

ival-sub: 2.0ms (3% of total)

ival-add: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series9.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) (patch (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (.f64 i i)) (patch (/.f64 #s(literal 4 binary64) (.f64 i i)) #<representation binary64>) () ())
#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 i (.f64 i #s(literal -1/4 binary64))) (patch (.f64 i (.f64 i #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 i #s(literal -1/4 binary64)) (patch (.f64 i #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))) (patch (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))) (patch (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (patch (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())
#s(alt (/ 1/64 (pow i 2)) (taylor -inf i) (#s(alt (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (patch (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #<representation binary64>) () ())) ())

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	i	@	inf	(* i (* i -1/4))
0.0ms	i	@	0	(/ 1/64 (* i i))
0.0ms	i	@	0	(* i (* i -1/4))
0.0ms	i	@	0	(* i -1/4)
0.0ms	i	@	inf	(* (* i i) (+ (* i i) 1/4))

simplify212.0ms (2.7%)

Memory

-27.9MiB live, 299.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 044×	`lower-fma.f64`
9 044×	`lower-fma.f32`
3 480×	`lower-*.f64`
3 480×	`lower-*.f32`
2 590×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	1310
1	139	1310
2	347	1240
3	915	1240
4	2506	1240
5	5693	1240
0	8198	1213

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ -4 (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* 1/4 (pow i 2))
(* (pow i 2) (+ 1/4 (pow i 2)))
(* (pow i 2) (+ 1/4 (pow i 2)))
(* (pow i 2) (+ 1/4 (pow i 2)))
(pow i 4)
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(pow i 4)
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))

Outputs
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 i (.f64 i (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 i (.f64 i (fma.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 i (.f64 i (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 i (.f64 i (fma.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 i (.f64 i (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 i (.f64 i (fma.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 i (.f64 i (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 i (.f64 i (fma.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (pow i 4))
(.f64 (neg.f64 i) (.f64 i (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (pow i 4))
(.f64 (neg.f64 i) (.f64 i (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* 1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* (pow i 2) (+ 1/4 (pow i 2)))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(* (pow i 2) (+ 1/4 (pow i 2)))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(* (pow i 2) (+ 1/4 (pow i 2)))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 i (.f64 i (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 i (.f64 i (fma.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 (.f64 i i) #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 (.f64 i i) #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 (.f64 i i) #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (.f64 i i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))

rewrite296.0ms (3.8%)

Memory

21.2MiB live, 330.6MiB allocated

Rules

5 226×	`lower-fma.f32`
5 224×	`lower-fma.f64`
4 882×	`lower-/.f32`
4 876×	`lower-/.f64`
4 004×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	187
0	42	163
1	180	155
2	1442	139
0	8557	131

Stop Event

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

Counts

14 → 445

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
(.f64 i (.f64 i #s(literal -1/4 binary64)))
(*.f64 i #s(literal -1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))

Outputs
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64)) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) (neg.f64 (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (neg.f64 (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))))))
(pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))))
(.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))))
(.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (*.f64 i i)))))))
(.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (/.f64 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64)))
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(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal -1/16 binary64)) #s(literal 1/256 binary64))))
(.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (.f64 i i))))))
(.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))))
(.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal -1/16 binary64)) #s(literal 1/256 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))))
(.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64)))))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64))))
(/.f64 #s(literal -1/64 binary64) (neg.f64 (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i))) (neg.f64 (neg.f64 i)))
(pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))
(.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i)))
(.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 i i)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 i i) #s(literal 64 binary64)))))
(.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (.f64 i i)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 1/64 binary64))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(.f64 (pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)))

eval154.0ms (2%)

Memory: -8.0MiB live, 186.1MiB allocated
Compiler: Compiled 12 370 to 1 312 computations (89.4% saved)

prune125.0ms (1.6%)

Memory

23.9MiB live, 184.4MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	666	1	667
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	666	7	673

Accuracy

100.0%

Counts

673 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))))
✓	50.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
✓	49.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
✓	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
✓	50.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 68 to 42 computations (38.2% saved)

simplify201.0ms (2.6%)

Memory

-10.1MiB live, 331.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 (.f64 i i) #s(literal 1/4 binary64))
cost-diff	320	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 i (.f64 i i))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))))
cost-diff	640	(fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))

Rules

7 670×	`lower-fma.f32`
7 666×	`lower-fma.f64`
5 392×	`lower-*.f32`
5 382×	`lower-*.f64`
3 340×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	102
0	35	97
1	82	87
2	254	79
3	1206	79
4	3854	77
5	5585	77
0	8321	75

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))))
(fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(.f64 i (.f64 i i))
i
(*.f64 i i)
(neg.f64 i)
(.f64 (.f64 i i) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(*.f64 i i)
i
#s(literal 1/4 binary64)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 i #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
(fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 i (.f64 i i))
i
(*.f64 i i)
(neg.f64 i)
(.f64 (.f64 i i) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(*.f64 i i)
i
#s(literal 1/4 binary64)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)

localize85.0ms (1.1%)

Memory

-7.8MiB live, 130.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 i i)
accuracy	0	(*.f64 i #s(literal 4 binary64))
accuracy	0.2049796940922865	(.f64 (.f64 i i) #s(literal 1/4 binary64))
accuracy	15.021011051274185	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0.046875	(fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
accuracy	0.09765625	(.f64 i (.f64 i i))
accuracy	0.2049796940922865	(.f64 (.f64 i i) #s(literal -1/4 binary64))
accuracy	31.907032782658312	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))))

Samples

48.0ms

256×

valid

Compiler

Compiled 93 to 26 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 15.0ms (39.2% of total)

ival-add: 11.0ms (28.8% of total)

ival-div: 10.0ms (26.1% of total)

ival-sub: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

series6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 i (.f64 i i)) (patch (.f64 i (.f64 i i)) #<representation binary64>) () ())
#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i i) #s(literal 1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i i) #s(literal -1/4 binary64)) (patch (.f64 (.f64 i i) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 i #s(literal 4 binary64)) (patch (.f64 i #s(literal 4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 4)) (taylor inf i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 4)) (taylor -inf i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (patch (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 4 i) (taylor -inf i) (#s(alt (.f64 i #s(literal 4 binary64)) (patch (.f64 i #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 i) (taylor -inf i) (#s(alt (.f64 i #s(literal 4 binary64)) (patch (.f64 i #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 i) (taylor -inf i) (#s(alt (.f64 i #s(literal 4 binary64)) (patch (.f64 i #s(literal 4 binary64)) #<representation binary64>) () ())) ())

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	i	@	-inf	(* i (* i i))
0.0ms	i	@	-inf	(* i 4)
0.0ms	i	@	0	(* i (* i i))
0.0ms	i	@	0	(* i 4)
0.0ms	i	@	inf	(* i (* i i))

simplify280.0ms (3.6%)

Memory

14.6MiB live, 289.3MiB allocated

Algorithm

1×	egg-herbie

Rules

17 148×	`lower-fma.f64`
17 148×	`lower-fma.f32`
3 856×	`lower-*.f64`
3 856×	`lower-*.f32`
1 610×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	675
1	121	675
2	296	664
3	719	656
4	1633	656
5	3056	656
6	6085	656
0	8159	641

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)

Outputs
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (.f64 i i) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (.f64 i i) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))))))))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (.f64 i i) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (.f64 i i) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))))))))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))

rewrite456.0ms (5.8%)

Memory

4.9MiB live, 361.7MiB allocated

Rules

6 600×	`lower-fma.f32`
6 596×	`lower-fma.f64`
4 546×	`lower-*.f32`
4 536×	`lower-*.f64`
3 804×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	91
0	35	86
1	143	76
2	1194	68
0	8726	68

Stop Event

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

Counts

9 → 702

Calls

Call 1

Inputs
(fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))))
(.f64 i (.f64 i i))
(*.f64 i i)
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(*.f64 i #s(literal 4 binary64))

Outputs
(+.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(+.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(+.f64 (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (*.f64 i i) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(-.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (.f64 i (.f64 i (*.f64 i i))))
(-.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 i (.f64 i #s(literal 1/4 binary64)) (.f64 i (.f64 i (.f64 i i)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (neg.f64 (.f64 i (.f64 i (*.f64 i i))))))
(-.f64 (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (*.f64 i i) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (neg.f64 (.f64 i i)) (-.f64 #s(literal 1/4 binary64) (.f64 i i)))) (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))) (.f64 (neg.f64 (.f64 i i)) (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))))
(-.f64 (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) (.f64 i (.f64 i (.f64 i i))))
(-.f64 (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) #s(literal 0 binary64)) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
(fma.f64 i (neg.f64 (.f64 i (.f64 i i))) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 i (.f64 i #s(literal -1/4 binary64)) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 i (neg.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) i)) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(fma.f64 (.f64 i i) #s(literal -1/4 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 (.f64 i i) (neg.f64 (.f64 i i)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (.f64 i i) (/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 i #s(literal -2 binary64))) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
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eval170.0ms (2.2%)

Memory: 3.7MiB live, 228.6MiB allocated
Compiler: Compiled 20 001 to 1 920 computations (90.4% saved)

prune342.0ms (4.4%)

Memory

7.6MiB live, 278.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	879	1	880
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	880	7	887

Accuracy

100.0%

Counts

887 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.8%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	50.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
▶	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64)))))
✓	49.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
✓	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
✓	50.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 66 to 42 computations (36.4% saved)

simplify232.0ms (3%)

Memory

-8.3MiB live, 331.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 i)
cost-diff	0	(.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64)))))
cost-diff	320	(fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))

Rules

7 540×	`lower-fma.f32`
7 538×	`lower-fma.f64`
4 920×	`lower-*.f32`
4 914×	`lower-*.f64`
3 006×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	23	57
1	68	55
2	249	49
3	1273	49
4	4338	47
5	6562	47
0	8187	45

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64)))))
(.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))
(neg.f64 i)
i
(fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))
(*.f64 i i)
(*.f64 i #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
(.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))
(neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(neg.f64 i)
i
(fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(*.f64 i i)
(*.f64 i #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize47.0ms (0.6%)

Memory

-31.0MiB live, 87.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 i)
accuracy	0.0546875	(fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))
accuracy	0.0546875	(.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))
accuracy	31.907032782658312	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64)))))

Samples

33.0ms

256×

valid

Compiler

Compiled 58 to 18 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 12.0ms (46.5% of total)

ival-div: 9.0ms (34.9% of total)

ival-sub: 1.0ms (3.9% of total)

ival-add: 1.0ms (3.9% of total)

ival-neg: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())

Outputs
#s(alt (* 1/4 i) (taylor 0 i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1/4 (pow i 2))) (taylor 0 i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1/4 (pow i 2))) (taylor 0 i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1/4 (pow i 2))) (taylor 0 i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow i 3) (taylor inf i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow i 3) (taylor -inf i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) (patch (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) (taylor 0 i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (taylor -inf i) (#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64))))) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 4)) (taylor inf i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor inf i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 4)) (taylor -inf i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) (patch (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor 0 i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor 0 i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor 0 i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor 0 i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor -inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor -inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor -inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())
#s(alt (* -1 i) (taylor -inf i) (#s(alt (neg.f64 i) (patch (neg.f64 i) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	i	@	0	(* (neg i) (+ (* i (* i i)) (* i 1/4)))
0.0ms	i	@	inf	(* (neg i) (+ (* i (* i i)) (* i 1/4)))
0.0ms	i	@	inf	(+ (* i (* i i)) (* i 1/4))
0.0ms	i	@	0	(+ (* i (* i i)) (* i 1/4))
0.0ms	i	@	inf	(neg i)

simplify258.0ms (3.3%)

Memory

-6.1MiB live, 370.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 684×	`lower-fma.f64`
13 684×	`lower-fma.f32`
3 466×	`lower-*.f64`
3 466×	`lower-*.f32`
1 904×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	334
1	127	334
2	317	324
3	797	320
4	2109	320
5	4344	320
6	7228	320
0	8100	308

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
(* i (+ 1/4 (pow i 2)))
(* i (+ 1/4 (pow i 2)))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)

Outputs
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* i (+ 1/4 (pow i 2)))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(* i (+ 1/4 (pow i 2)))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(* i (+ 1/4 (pow i 2)))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(pow i 3)
(.f64 i (.f64 i i))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(pow i 3)
(.f64 i (.f64 i i))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 i (.f64 i (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (.f64 i i) (fma.f64 (.f64 i i) (fma.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (*.f64 i i)))))))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)

rewrite292.0ms (3.7%)

Memory

20.8MiB live, 441.3MiB allocated

Rules

8 468×	`lower-fma.f32`
8 466×	`lower-fma.f64`
6 530×	`lower-*.f32`
6 524×	`lower-*.f64`
3 336×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	58
0	23	49
1	108	47
2	937	41
0	8694	39

Stop Event

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

Counts

4 → 225

Calls

Call 1

Inputs
(fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64)))))
(.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64))))
(neg.f64 i)

Outputs
(+.f64 (.f64 i #s(literal 1/4 binary64)) (.f64 i (*.f64 i i)))
(+.f64 (.f64 i (.f64 i i)) (*.f64 i #s(literal 1/4 binary64)))
(+.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(-.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (.f64 i (-.f64 #s(literal 1/4 binary64) (.f64 i i)))) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))))
(fma.f64 i #s(literal 1/4 binary64) (.f64 i (.f64 i i)))
(fma.f64 i (.f64 i i) (.f64 i #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) i (.f64 i (.f64 i i)))
(fma.f64 (.f64 i i) i (.f64 i #s(literal 1/4 binary64)))
(fma.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(fma.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)) (*.f64 i #s(literal 1/4 binary64)))
(neg.f64 (neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (.f64 i #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (-.f64 #s(literal 1/4 binary64) (.f64 i i))) (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (*.f64 i i)))))))
(/.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1/4 binary64))))
(/.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (fma.f64 i (.f64 i #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))))
(/.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64)))) (neg.f64 (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64)))) (neg.f64 (fma.f64 i (.f64 i #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64)))) (*.f64 (neg.f64 i) (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i))))) (.f64 i (-.f64 #s(literal 1/4 binary64) (*.f64 i i))))
(/.f64 (-.f64 (.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (.f64 (.f64 i i) #s(literal 1/16 binary64)))) (.f64 (.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 i #s(literal 27 binary64)) (.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i (.f64 i i))))) #s(literal 1/262144 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/64 binary64)) (-.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/64 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i (.f64 i i)))))))) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (.f64 (.f64 i (.f64 i i)) (-.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 i (.f64 i i)) (-.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) #s(literal 1/64 binary64))) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (.f64 (.f64 i (.f64 i i)) (-.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 i (.f64 (.f64 i (.f64 i (.f64 i (.f64 i i)))) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (fma.f64 i (.f64 i #s(literal 1/16 binary64)) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))) (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64))))) (neg.f64 (*.f64 (neg.f64 i) (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (neg.f64 (.f64 i (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))) (+.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 i i) #s(literal 1/16 binary64)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(.f64 (.f64 i (fma.f64 i i #s(literal 1/4 binary64))) (.f64 (.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/4 binary64)))))
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(/.f64 (.f64 (neg.f64 i) (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64)))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (neg.f64 i)) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/4 binary64))))
(/.f64 (.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64))) (neg.f64 i)) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 i i)) #s(literal 1 binary64)) (.f64 i (/.f64 #s(literal 1 binary64) (.f64 i (fma.f64 i i #s(literal 1/4 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 i (.f64 i i)))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 i i))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) i))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1/4 binary64))) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 (fma.f64 i (.f64 i #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64)))) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (neg.f64 (.f64 i i))) (.f64 (fma.f64 i (.f64 i #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64)))) i))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (neg.f64 (.f64 i i))) (.f64 (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/4 binary64))) i))
(/.f64 (.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64))) (neg.f64 (.f64 i i))) (.f64 (.f64 i (fma.f64 i i #s(literal -1/4 binary64))) i))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64)))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 (neg.f64 (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1/4 binary64)))) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64)))) (neg.f64 (.f64 i i))) (.f64 (neg.f64 (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/4 binary64)))) i))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64)))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 (*.f64 (neg.f64 i) (fma.f64 i i #s(literal -1/4 binary64))) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64)))) (neg.f64 (.f64 i i))) (.f64 (.f64 (neg.f64 i) (fma.f64 i i #s(literal -1/4 binary64))) i))
(/.f64 (.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i))))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 (.f64 i (-.f64 #s(literal 1/4 binary64) (*.f64 i i))) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i))))) (neg.f64 (.f64 i i))) (.f64 (.f64 i (-.f64 #s(literal 1/4 binary64) (.f64 i i))) i))
(/.f64 (.f64 (neg.f64 (.f64 i (.f64 i i))) #s(literal 1 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))))
(/.f64 (.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64)))) (.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64)))) (.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (.f64 i #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64))))))
(/.f64 (.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64)))) (.f64 (fma.f64 i i #s(literal 0 binary64)) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 i (.f64 i i))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))))) (.f64 (fma.f64 i i #s(literal 0 binary64)) (neg.f64 (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1/4 binary64))))))
(/.f64 (.f64 (neg.f64 (.f64 i (.f64 i i))) (neg.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64))))) (.f64 (fma.f64 i i #s(literal 0 binary64)) (*.f64 (neg.f64 i) (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 i (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))))
(/.f64 (.f64 (neg.f64 (.f64 i i)) (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64)))) (.f64 i (fma.f64 i (.f64 i #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64))))))
(/.f64 (.f64 (neg.f64 (.f64 i i)) (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64)))) (.f64 i (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 i i)) (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64)))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 i i)) (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))))) (.f64 i (neg.f64 (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/4 binary64))))))
(/.f64 (.f64 (neg.f64 (.f64 i i)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64))))) (.f64 i (.f64 (neg.f64 i) (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 i i)) (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (-.f64 #s(literal 1/4 binary64) (.f64 i i)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i (.f64 i #s(literal -1/4 binary64))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64))))) (neg.f64 (fma.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i #s(literal -1/4 binary64))) (-.f64 (.f64 i (.f64 i #s(literal -1/4 binary64))) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))))))
(/.f64 (neg.f64 (.f64 (.f64 i (neg.f64 (.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) (.f64 (neg.f64 i) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))) (neg.f64 (.f64 (neg.f64 i) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (.f64 i (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64)))))) (neg.f64 (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 i) (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64))))) (.f64 (neg.f64 i) (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (neg.f64 i))) (neg.f64 (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64))) (neg.f64 i))) (.f64 (neg.f64 i) (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 i (.f64 i #s(literal -1/4 binary64))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (neg.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i (.f64 i i)))))))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i (.f64 i #s(literal -1/4 binary64))) (neg.f64 (.f64 i (.f64 i (*.f64 i i))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) (.f64 #s(literal 0 binary64) (.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) (-.f64 (.f64 i (.f64 i #s(literal -1/4 binary64))) (neg.f64 (.f64 i (.f64 i (.f64 i i))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) (.f64 i (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))) (+.f64 #s(literal 0 binary64) (.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))))
(.f64 i (neg.f64 (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(.f64 (.f64 i (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 i))
(.f64 (.f64 i i) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (neg.f64 i) (.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1/4 binary64)))) (neg.f64 i)))
(.f64 #s(literal -1 binary64) (.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 i)))
(.f64 (.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (neg.f64 (.f64 i i)))
(.f64 (neg.f64 (.f64 i i)) (fma.f64 i i #s(literal 1/4 binary64)))
(.f64 (fma.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i (.f64 i #s(literal -1/4 binary64))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i #s(literal -1/4 binary64))) (-.f64 (.f64 i (.f64 i #s(literal -1/4 binary64))) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))))))
(.f64 (.f64 (.f64 i (neg.f64 (.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) (.f64 (neg.f64 i) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 i) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(.f64 (neg.f64 (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) i)
(.f64 (.f64 i (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1/4 binary64)))))
(.f64 (.f64 (neg.f64 i) (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))) (neg.f64 i)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1/4 binary64)))))
(.f64 (.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal -1/16 binary64))) (neg.f64 i)) (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(+.f64 #s(literal 0 binary64) (neg.f64 i))
(-.f64 #s(literal 0 binary64) i)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (.f64 i (.f64 i i)) (fma.f64 i i #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(neg.f64 i)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (neg.f64 (.f64 i (.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 (*.f64 i i))))
(/.f64 (neg.f64 (*.f64 i i)) i)
(/.f64 (neg.f64 (.f64 i (.f64 i i))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 i i))) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (.f64 i (.f64 i i)))) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 i) (neg.f64 i)) (.f64 #s(literal 0 binary64) (neg.f64 i)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 i) (neg.f64 i))) (-.f64 #s(literal 0 binary64) (neg.f64 i)))
(*.f64 i #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) i)
(.f64 (neg.f64 (.f64 i i)) (/.f64 #s(literal 1 binary64) i))
(.f64 (neg.f64 (.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))

eval69.0ms (0.9%)

Memory: -28.7MiB live, 117.4MiB allocated
Compiler: Compiled 6 871 to 621 computations (91% saved)

prune48.0ms (0.6%)

Memory

-8.0MiB live, 107.6MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	273	7	280

Accuracy

100.0%

Counts

280 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.8%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	99.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	50.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
✓	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64)))))
✓	49.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
✓	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
✓	50.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 165 to 80 computations (51.5% saved)

regimes7.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))

Calls

2 calls:

3.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.0%	1	`i`
99.0%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64))))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 i (*.f64 i i)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))

Calls

2 calls:

3.0ms

2.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.3%	2	`i`
76.3%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (*.f64 i #s(literal 1/4 binary64)))))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

-35.0MiB live, 3.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (*.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64)))))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

2 calls:

1.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
50.7%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
50.7%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch11.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.07022184479419477	0.8117890656350066

Samples

6.0ms

96×

valid

Compiler

Compiled 185 to 104 computations (43.8% saved)

Precisions

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

ival-mult: 2.0ms (52.2% of total)

ival-div: 1.0ms (26.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.07022184479419477	0.8117890656350066

Compiler

Compiled 161 to 98 computations (39.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.07022184479419477	0.8117890656350066

Compiler

Compiled 125 to 74 computations (40.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.07022184479419477	0.8117890656350066

Compiler

Compiled 101 to 62 computations (38.6% saved)

simplify11.0ms (0.1%)

Memory

-9.1MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	312
1	62	312
2	81	312
3	91	312
4	96	312
5	97	312

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64)))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (neg.f64 (.f64 i i)))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (neg.f64 (.f64 i i)))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64)))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

soundness837.0ms (10.7%)

Memory

-13.9MiB live, 468.3MiB allocated

Rules

16 840×	`lower-fma.f64`
16 840×	`lower-fma.f32`
5 226×	`lower-fma.f32`
5 224×	`lower-fma.f64`
5 018×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	365
1	94	365
2	218	364
3	503	360
4	1053	360
5	2102	360
6	4010	360
7	6212	360
0	8170	348
0	31	187
0	42	163
1	180	155
2	1442	139
0	8557	131
0	10	63
0	17	47
1	75	41
2	653	29
0	8740	27

Stop Event

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

Compiler

Compiled 183 to 85 computations (53.6% saved)

preprocess59.0ms (0.8%)

Memory: 29.2MiB live, 67.8MiB allocated
Remove: (abs i)
Compiler: Compiled 282 to 106 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample1.7s (22%)

explain183.0ms (2.3%)

preprocess264.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify223.0ms (2.8%)

localize31.0ms (0.4%)

series7.0ms (0.1%)

simplify241.0ms (3.1%)

rewrite464.0ms (5.9%)

eval83.0ms (1.1%)

prune110.0ms (1.4%)

simplify168.0ms (2.1%)

localize117.0ms (1.5%)

series9.0ms (0.1%)

simplify212.0ms (2.7%)

rewrite296.0ms (3.8%)

eval154.0ms (2%)

prune125.0ms (1.6%)

simplify201.0ms (2.6%)

localize85.0ms (1.1%)

series6.0ms (0.1%)

simplify280.0ms (3.6%)

rewrite456.0ms (5.8%)

eval170.0ms (2.2%)

prune342.0ms (4.4%)

simplify232.0ms (3%)

localize47.0ms (0.6%)

series3.0ms (0%)

simplify258.0ms (3.3%)

rewrite292.0ms (3.7%)

eval69.0ms (0.9%)

prune48.0ms (0.6%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify11.0ms (0.1%)

soundness837.0ms (10.7%)

preprocess59.0ms (0.8%)

end0.0ms (0%)

Profiling