Metrics for Octave 3.8, jcobi/4, as called

start35.0ms (0.5%)

Memory: -44.2MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

4.6MiB live, 4.6MiB 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)

sample862.0ms (12.3%)

Memory

85.1MiB live, 1 675.8MiB allocated

Samples

563.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-mult: 219.0ms (53.5% of total)

ival-div: 96.0ms (23.5% of total)

ival-sub: 48.0ms (11.7% of total)

ival->: 29.0ms (7.1% of total)

exact: 14.0ms (3.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain132.0ms (1.9%)

Memory

-2.5MiB live, 355.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
196	-	2	(4.0079016345932577e-81)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
68	-	0	-	`(/.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	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`i`
0	-	0	-	`#s(literal 2 binary64)`
0	-	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	68	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	104
↳	`(*.f64 i i)`	overflow	136
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	68
`/.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	68	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	104
↳	`(*.f64 i i)`	overflow	136
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	68
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	68
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	68
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	68
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	58	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	90
↳	`(*.f64 i i)`	underflow	116
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	58
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	36	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	104
↳	`(*.f64 i i)`	overflow	136
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	32	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	90
↳	`(*.f64 i i)`	underflow	116

Confusion

	Predicted +	Predicted -
+	194	2
-	0	60

Precision

1.0

Recall

0.9897959183673469

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	194	0	2
-	0	0	60

Precision?

1.0

Recall?

0.9897959183673469

Freqs

test

number	freq
0	62
1	126
2	68

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 174 to 34 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 14.0ms (60.6% of total)

ival-div: 6.0ms (26% of total)

ival-sub: 2.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess219.0ms (3.1%)

Memory

-9.2MiB live, 225.5MiB 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 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)

Symmetry

(abs i)

Compiler

Compiled 26 to 10 computations (61.5% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.4%	(/.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

▶

25.4%

(/.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)

simplify135.0ms (1.9%)

Memory

-14.1MiB live, 181.6MiB 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 (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i)
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(.f64 (.f64 i i) (*.f64 i i))
(.f64 (.f64 (*.f64 i i) i) i)
(*.f64 i i)
i
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(.f64 #s(literal 4 binary64) (.f64 i 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))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 1 binary64)

localize30.0ms (0.4%)

Memory

34.9MiB live, 69.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.09765625	(.f64 (.f64 i i) (*.f64 i i))
accuracy	16.4821491146082	(/.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	43.777529831664914	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

17.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (58% of total)

ival-div: 3.0ms (29% of total)

ival-sub: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.5%)

Memory

-24.3MiB live, 10.6MiB allocated

Counts

6 → 72

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>) () ())
#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) 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>) () ())) ())
#s(alt (* 2 i) (taylor 0 i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor 0 i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor 0 i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor 0 i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor inf i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor inf i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor inf i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor inf i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor -inf i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor -inf i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor -inf i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 2 i) (taylor -inf i) (#s(alt (.f64 #s(literal 2 binary64) i) (patch (.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())) ())

Calls

18 calls:

Time	Variable		Point	Expression
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))
0.0ms	i	@	-inf	(* 2 i)

simplify212.0ms (3%)

Memory

19.9MiB live, 224.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 408×	`lower-fma.f64`
15 408×	`lower-fma.f32`
3 874×	`lower-*.f64`
3 874×	`lower-*.f32`
1 628×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1045	396
5	2097	396
6	4072	396
7	6268	396
0	8056	384

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)

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

rewrite176.0ms (2.5%)

Memory

-0.7MiB live, 240.4MiB 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	66
0	17	50
1	75	44
2	653	32
0	8740	30

Stop Event

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

Counts

6 → 665

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))
(*.f64 #s(literal 2 binary64) i)

Outputs
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i)) i)
(.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 (pow.f64 (.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 i) i)) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 i i) i)) (/.f64 #s(literal 1/4 binary64) i))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) i))
(*.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 2 binary64) (.f64 i i)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 (.f64 i i) i) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (.f64 i i) i) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 (.f64 (.f64 i i) i) (.f64 #s(literal 1/4 binary64) i)) (/.f64 #s(literal 1 binary64) (.f64 i i)))
(.f64 (.f64 i (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) i) i)))
(.f64 (/.f64 #s(literal -1/4 binary64) (.f64 i i)) (.f64 (neg.f64 i) (.f64 (*.f64 i i) i)))
(.f64 (.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 i) (.f64 i i)) (/.f64 i (.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (.f64 (neg.f64 i) (.f64 i i)) (.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (neg.f64 i) (/.f64 (.f64 (.f64 i i) i) (.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (neg.f64 i) (.f64 (.f64 (.f64 i i) i) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (/.f64 #s(literal 1/2 binary64) i) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i)))
(.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 i i) i)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/4 binary64) i) (.f64 (*.f64 i i) i))
(.f64 (/.f64 #s(literal 1 binary64) i) (.f64 (.f64 (.f64 i i) i) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) i) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 i i)))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 i i)))
(.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 (*.f64 #s(literal 1/2 binary64) i) i))
(.f64 (.f64 (neg.f64 i) i) #s(literal -1/4 binary64))
(.f64 (.f64 (.f64 (.f64 i i) i) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i)))
(.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i)) (*.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i)) (/.f64 #s(literal 1/2 binary64) i))
(.f64 (.f64 (.f64 i i) i) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) i)))
(.f64 (.f64 (.f64 i i) i) (.f64 (neg.f64 i) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (.f64 (.f64 i i) i) (.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 i i) i) (/.f64 #s(literal 1/4 binary64) i))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 i i) i) i)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (.f64 (.f64 (*.f64 i i) i) i))
(.f64 (.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i))
(.f64 (.f64 (neg.f64 i) (.f64 (.f64 i i) i)) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 i i)) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 i) (.f64 (.f64 i i) i)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(.f64 (.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(.f64 (.f64 (.f64 (.f64 i i) i) i) (pow.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 i i) i) i) (/.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(.f64 i (.f64 (/.f64 #s(literal 1/4 binary64) i) (*.f64 i i)))
(.f64 i (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) i)))
(.f64 i (.f64 (.f64 (neg.f64 i) (.f64 i i)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 #s(literal 1/4 binary64) i)) i) i)
(/.f64 (/.f64 (.f64 (neg.f64 i) (.f64 (.f64 i i) i)) (.f64 #s(literal 4 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 (.f64 (neg.f64 i) (.f64 (.f64 i i) i)) #s(literal 4 binary64)) (.f64 (neg.f64 i) i))
(/.f64 (/.f64 (.f64 (neg.f64 i) (.f64 (.f64 i i) i)) #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (/.f64 (.f64 (neg.f64 i) (.f64 (.f64 i i) i)) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal -2 binary64) i) i))
(/.f64 (.f64 (.f64 i (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 i i) i))) (/.f64 #s(literal 1/2 binary64) i)) i)
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) i) (.f64 (.f64 (.f64 i i) i) i)) i)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 i i) i) i)) (*.f64 i i))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 i i) i) i)) (.f64 (.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 (.f64 (.f64 i i) i) #s(literal 1/4 binary64)) i) (*.f64 i i))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) (*.f64 i i)) i)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 i i) i)) i)
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) (.f64 (.f64 i i) i)) (*.f64 i i))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i)) i) (.f64 (.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (.f64 i i) i)) (.f64 (.f64 #s(literal 2 binary64) i) i))
(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) i) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 i i) i) #s(literal 1/4 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 i i) i) (.f64 #s(literal 1/4 binary64) i))) (*.f64 (neg.f64 i) i))
(/.f64 (neg.f64 (.f64 i (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i)))) (.f64 (.f64 #s(literal -2 binary64) i) i))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) i) i)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) i) i) (.f64 (.f64 #s(literal 1/2 binary64) i) i)) (.f64 i i))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) i) i) (.f64 (neg.f64 i) i)) (.f64 (.f64 #s(literal -2 binary64) i) i))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) i) i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 (neg.f64 i) i) (.f64 (.f64 #s(literal 1/2 binary64) i) i)) (.f64 (.f64 #s(literal -2 binary64) i) i))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 i) i)) (.f64 (/.f64 #s(literal 2 binary64) i) (.f64 #s(literal -2 binary64) i)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 #s(literal 1/4 binary64) i))) (.f64 i i))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 i (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i)))) (.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 (.f64 (.f64 i i) i) #s(literal 1/4 binary64)) #s(literal 1 binary64)) i)
(/.f64 (.f64 (.f64 (.f64 (.f64 i i) i) (.f64 #s(literal 1/4 binary64) i)) #s(literal 1 binary64)) (.f64 i i))
(/.f64 (.f64 (.f64 i (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i))) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 (neg.f64 i) i) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) i) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 i i)) i) i)
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (.f64 i i)) (*.f64 i i))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) i) i) (*.f64 (/.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) i) i) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (*.f64 i i) i) #s(literal 1/4 binary64)) i)
(/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 #s(literal 1/4 binary64) i)) (*.f64 i i))
(/.f64 (.f64 i (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i))) (.f64 (.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (neg.f64 i) (.f64 i i)) (*.f64 i #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) (.f64 (.f64 i i) i)))
(/.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) i)))
(/.f64 (*.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal 1 binary64) i))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i)))
(/.f64 (*.f64 (neg.f64 i) i) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 (.f64 i i) i) #s(literal -1/2 binary64)) (.f64 #s(literal -2 binary64) i))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i)) (neg.f64 (.f64 #s(literal -2 binary64) i)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i)) (.f64 #s(literal 2 binary64) i))
(/.f64 (.f64 (.f64 i i) i) (*.f64 #s(literal 4 binary64) i))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 i i) i) i)))
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) i))
(/.f64 (.f64 (neg.f64 i) (.f64 (.f64 i i) i)) (.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (.f64 (.f64 (*.f64 i i) i) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 (.f64 (.f64 i i) i) (*.f64 #s(literal 1/4 binary64) i))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) (.f64 i (.f64 #s(literal 1/2 binary64) (.f64 (.f64 i i) i)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (.f64 i i) (.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(/.f64 i (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 i (/.f64 #s(literal 4 binary64) i))
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(fma.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (/.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 i i) i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) i) (/.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (neg.f64 (.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 i i) i)) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) i) i)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 i (/.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 i (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(expm1.f64 (log.f64 (.f64 #s(literal 4 binary64) (.f64 i i))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) #s(literal 64 binary64)) i) (.f64 i i)) (fma.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) i) i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) i) i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) i) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) #s(literal 64 binary64)) i) (.f64 i i)) (fma.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) i) i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) i) i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) i) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) #s(literal 64 binary64)) i) (.f64 i i)) (fma.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) i) i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) i) i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 i i)))
(+.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -1 binary64))
(.f64 (neg.f64 (.f64 (neg.f64 i) (*.f64 i i))) i)
(.f64 (neg.f64 (neg.f64 i)) (.f64 (*.f64 i i) i))
(.f64 (neg.f64 (.f64 (neg.f64 i) i)) (*.f64 i i))
(.f64 (.f64 (neg.f64 i) (*.f64 i i)) (neg.f64 i))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) (*.f64 i i)))
(.f64 (.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) i))
(.f64 (.f64 (*.f64 i i) i) (neg.f64 (neg.f64 i)))
(.f64 (.f64 (*.f64 i i) i) i)
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 i) (.f64 (.f64 i i) i)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 i i) i) i))
(.f64 (.f64 (.f64 (.f64 i i) i) i) #s(literal 1 binary64))
(.f64 (.f64 i i) (neg.f64 (*.f64 (neg.f64 i) i)))
(.f64 (.f64 i i) (*.f64 i i))
(.f64 i (neg.f64 (.f64 (neg.f64 i) (*.f64 i i))))
(.f64 i (.f64 (*.f64 i i) i))
(pow.f64 (.f64 (.f64 (*.f64 i i) i) i) #s(literal 1 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 i #s(literal 4 binary64))
(neg.f64 (.f64 (neg.f64 i) (.f64 (*.f64 i i) i)))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 i) (.f64 (*.f64 i i) i)))
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) i) i) (/.f64 #s(literal 1 binary64) i))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) i))
(.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) i)
(.f64 (.f64 i i) (/.f64 #s(literal 2 binary64) i))
(*.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) i) i) (neg.f64 i))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) i)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

eval89.0ms (1.3%)

Memory: 14.7MiB live, 201.0MiB allocated
Compiler: Compiled 23 415 to 1 897 computations (91.9% saved)

prune165.0ms (2.4%)

Memory

2.1MiB live, 278.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	849	7	856
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	850	7	857

Accuracy

100.0%

Counts

857 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.4%	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
▶	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
	74.1%	(.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i)
▶	52.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶	47.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
▶	47.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
▶	52.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 132 to 84 computations (36.4% saved)

simplify174.0ms (2.5%)

Memory

-30.2MiB live, 135.9MiB 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 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff	0	(fma.f64 i i #s(literal 1/4 binary64))
cost-diff	0	(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
cost-diff	0	(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 #s(literal -1/4 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 -1/4 binary64) (.f64 i i)))
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

9 314×	`lower-fma.f32`
9 312×	`lower-fma.f64`
5 146×	`lower-*.f32`
5 138×	`lower-*.f64`
2 790×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	206
0	42	190
1	88	182
2	269	158
3	1260	158
4	4041	150
5	6295	150
0	8092	146

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

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

localize86.0ms (1.2%)

Memory

-3.3MiB live, 120.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy	0	(*.f64 i i)
accuracy	0.1645590143526445	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	30.732501122328507	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy	0	(neg.f64 i)
accuracy	0.0234375	(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy	0.0546875	(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy	33.32831120806016	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
accuracy	0	(*.f64 i i)
accuracy	0	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	33.71979925315201	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
accuracy	30.494831067114372	#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	0.11140770756382705	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
accuracy	0.20200012402234166	(/.f64 #s(literal 4 binary64) (*.f64 i i))

Samples

55.0ms

256×

valid

Compiler

Compiled 185 to 28 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-neg: 18.0ms (42% of total)

ival-mult: 12.0ms (28% of total)

ival-div: 7.0ms (16.3% of total)

ival-sub: 2.0ms (4.7% of total)

ival-add: 2.0ms (4.7% of total)

exact: 1.0ms (2.3% of total)

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

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

series10.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

15 → 180

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

45 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(/ 1 (- 16 (/ 4 (* i i))))
0.0ms	i	@	inf	(* (* (+ (* i i) 1/4) i) (neg i))
0.0ms	i	@	0	(* (* (+ (* i i) 1/4) i) (neg i))
0.0ms	i	@	inf	(* -1/4 (* i i))
0.0ms	i	@	0	(/ 1/64 (* i i))

simplify199.0ms (2.8%)

Memory

24.6MiB live, 174.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 228×	`lower-fma.f64`
16 228×	`lower-fma.f32`
3 694×	`lower-*.f64`
3 694×	`lower-*.f32`
1 750×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1330
1	159	1330
2	403	1280
3	1198	1260
4	4404	1260
5	7668	1260
0	8372	1224

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

rewrite457.0ms (6.5%)

Memory

-139.9MiB live, 241.1MiB allocated

Rules

4 996×	`lower-fma.f32`
4 994×	`lower-fma.f64`
4 782×	`lower-/.f32`
4 776×	`lower-/.f64`
4 258×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	188
0	42	164
1	177	156
2	1377	140
0	8499	132

Stop Event

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

Counts

15 → 346

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (pow.f64 (/.f64 #s(literal 1 binary64) (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))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i 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)))
(.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 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 (.f64 (*.f64 i i) 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 (.f64 i i) i) (.f64 (.f64 i i) i))))))
(.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)))))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))) #s(literal -1 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 (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 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64))
(/.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 (.f64 (.f64 i i) 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 (.f64 i i) i) (.f64 (*.f64 i 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 (.f64 (.f64 i i) 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 (.f64 i i) i) (.f64 (*.f64 i 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))))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))
(.f64 (neg.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (/.f64 #s(literal 1 binary64) (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)))))
(.f64 (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))
(.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))))
(.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (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 (+.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 -16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))))
(.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 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))))) (.f64 (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))))) (+.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4096 binary64) (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) (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 (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i 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))) (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i 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))))) (+.f64 (/.f64 #s(literal 4096 binary64) (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 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i 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)))))
(/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 256 binary64)) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (fma.f64 (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4096 binary64) (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))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i 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))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4096 binary64) (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) (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))) (fma.f64 (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i 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))) (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i 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))) (.f64 (/.f64 #s(literal 4096 binary64) (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 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i 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)))))))
(/.f64 (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))) #s(literal 4096 binary64)) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 256 binary64) (.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i))))) (neg.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))))) (neg.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)))))
(/.f64 (-.f64 (.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (.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)))))
(/.f64 (-.f64 (.f64 #s(literal 4096 binary64) (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 (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 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i 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)) (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 (neg.f64 (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (neg.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (neg.f64 (+.f64 #s(literal 256 binary64) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))))))
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(/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 1/256 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (neg.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #s(literal 1/1024 binary64)) (.f64 i i)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (neg.f64 (+.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (.f64 i i))) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (*.f64 i i) i) i)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 1/256 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #s(literal 1/1024 binary64)) (.f64 i i))))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))) (+.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (.f64 i i))) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (*.f64 i i) i) i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #s(literal 1/1024 binary64)) (.f64 i i))) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(fma.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)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (/.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))) (neg.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
(fma.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64)))) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))) (neg.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i 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)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(*.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 1/64 binary64))
(.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 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 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 i i)))
(.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1 binary64))
(.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))
(pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 #s(literal -1/64 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal -1 binary64) (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 (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (*.f64 i i) i)) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(.f64 (.f64 (neg.f64 i) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal -1 binary64) i)
(*.f64 i #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 i) (neg.f64 i))) (-.f64 #s(literal 0 binary64) (neg.f64 i)))
(/.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 (neg.f64 (neg.f64 (.f64 (.f64 i i) i))) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 i i) i)) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 i) i) i)
(/.f64 (*.f64 i i) (neg.f64 i))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (neg.f64 (.f64 (.f64 i i) i))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 i) i)))
(neg.f64 i)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (.f64 (.f64 i i) i) (fma.f64 i i #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 #s(literal 0 binary64) i)
(+.f64 #s(literal 0 binary64) (neg.f64 i))

eval94.0ms (1.3%)

Memory: -10.6MiB live, 140.8MiB allocated
Compiler: Compiled 9 750 to 1 154 computations (88.2% saved)

prune83.0ms (1.2%)

Memory

-1.4MiB live, 205.0MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	578	2	580
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	579	8	587

Accuracy

100.0%

Counts

587 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
✓	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	74.1%	(.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i)
✓	52.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶	47.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
▶	47.9%	#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)) (.f64 (neg.f64 i) i)))
✓	47.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	52.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 79 to 49 computations (38% saved)

simplify348.0ms (5%)

Memory

22.9MiB live, 235.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

12 668×	`lower-fma.f32`
12 660×	`lower-fma.f64`
4 730×	`lower-*.f32`
4 714×	`lower-*.f64`
3 024×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	197
0	50	183
1	118	173
2	356	163
3	1508	161
4	4459	161
5	6964	161
0	8329	157

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

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

localize279.0ms (4%)

Memory

18.2MiB live, 220.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
accuracy	0	(*.f64 i i)
accuracy	0	(.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
accuracy	16.4821491146082	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
accuracy	0	(*.f64 i i)
accuracy	0.10775375976844202	(.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i)
accuracy	0.12549639624249193	(/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
accuracy	15.774052565765121	(.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
accuracy	0	(neg.f64 i)
accuracy	0.0234375	(.f64 (fma.f64 (.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))
accuracy	0.05078125	(fma.f64 (.f64 i i) i (.f64 i #s(literal 1/4 binary64)))
accuracy	33.32831120806016	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
accuracy	0	(*.f64 (neg.f64 i) i)
accuracy	0	(neg.f64 i)
accuracy	0.05078125	(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
accuracy	33.32831120806016	#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)) (.f64 (neg.f64 i) i)))

Samples

235.0ms

256×

valid

Compiler

Compiled 188 to 34 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-mult: 183.0ms (83.4% of total)

ival-neg: 23.0ms (10.5% of total)

ival-div: 7.0ms (3.2% of total)

ival-add: 4.0ms (1.8% of total)

ival-sub: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series78.0ms (1.1%)

Memory

-19.3MiB live, 25.6MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

48 calls:

Time	Variable		Point	Expression
68.0ms	i	@	0	(* (+ (* (* i i) i) (* i 1/4)) (neg i))
0.0ms	i	@	inf	(* (neg i) i)
0.0ms	i	@	0	(+ (* (* i i) i) (* i 1/4))
0.0ms	i	@	inf	(+ (* (* i i) i) (* i 1/4))
0.0ms	i	@	-inf	(* i (/ -1/4 (+ (* -4 (* i i)) 1)))

simplify129.0ms (1.8%)

Memory

-5.7MiB live, 183.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 382×	`lower-fma.f64`
9 382×	`lower-fma.f32`
4 778×	`lower-*.f64`
4 778×	`lower-*.f32`
1 812×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	1498
1	230	1498
2	589	1471
3	1697	1446
4	5828	1446
0	8977	1383

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

rewrite186.0ms (2.6%)

Memory

35.8MiB live, 270.5MiB allocated

Rules

7 380×	`lower-fma.f32`
7 372×	`lower-fma.f64`
4 250×	`lower-*.f32`
4 234×	`lower-*.f64`
3 934×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	175
0	50	156
1	217	148
2	1617	129
0	9492	127

Stop Event

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

Counts

16 → 1 180

Calls

Call 1

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

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (.f64 i i))
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(expm1.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) i) i)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i)))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i))
(-.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i)))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64))
(.f64 (.f64 (*.f64 (neg.f64 i) i) i) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) i)
(.f64 (.f64 (neg.f64 i) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 i #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 i) 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 i i) (.f64 #s(literal 0 binary64) (neg.f64 i)))))
(/.f64 (.f64 (.f64 (neg.f64 i) i) i) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 i i) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 i) i) (-.f64 #s(literal 0 binary64) (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 i) i) i)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 i) i) i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 i) i)))
(neg.f64 i)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (.f64 (.f64 i i) i) (fma.f64 i i #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 #s(literal 0 binary64) i)
(+.f64 #s(literal 0 binary64) (neg.f64 i))

eval319.0ms (4.5%)

Memory: -26.6MiB live, 263.8MiB allocated
Compiler: Compiled 31 546 to 2 838 computations (91% saved)

prune301.0ms (4.3%)

Memory

16.8MiB live, 298.2MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 498	2	1 500
Fresh	0	0	0
Picked	1	3	4
Done	1	3	4
Total	1 500	8	1 508

Accuracy

100.0%

Counts

1 508 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
▶	74.2%	(.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i)
✓	74.1%	(.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i)
✓	52.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	47.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
✓	47.9%	#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)) (.f64 (neg.f64 i) i)))
✓	47.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	52.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 78 to 47 computations (39.7% saved)

simplify57.0ms (0.8%)

Memory

-28.8MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
cost-diff	0	(*.f64 i i)
cost-diff	0	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
cost-diff	0	(/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)))
cost-diff	0	(.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i)

Rules

18×	`lower-*.f32`
14×	`lower-*.f64`
10×	`*-commutative`
8×	`lower-fma.f32`
4×	`lift-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	52
0	17	52
1	28	52
2	30	52
0	30	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize94.0ms (1.3%)

Memory

24.3MiB live, 62.9MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
accuracy	0	(*.f64 i i)
accuracy	16.4821491146082	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
accuracy	0	(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
accuracy	0	(*.f64 i i)
accuracy	0.10775375976844202	(.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i)
accuracy	15.864127485308696	(/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)))

Samples

83.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 69.0ms (91.6% of total)

ival-div: 3.0ms (4% of total)

ival-add: 2.0ms (2.7% 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

6.1MiB live, 6.1MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i) (patch (.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i) #<representation binary64>) () ())
#s(alt (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) (patch (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64)) (patch (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (patch (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	i	@	0	(* (/ i (+ (* 16 (* i i)) -4)) i)
0.0ms	i	@	inf	(* (/ i (+ (* 16 (* i i)) -4)) i)
0.0ms	i	@	inf	(+ (* 16 (* i i)) -4)
0.0ms	i	@	-inf	(/ i (+ (* 16 (* i i)) -4))
0.0ms	i	@	0	(+ (* 16 (* i i)) -4)

simplify134.0ms (1.9%)

Memory

-19.6MiB live, 76.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 186×	`lower-fma.f64`
8 186×	`lower-fma.f32`
3 154×	`lower-*.f64`
3 154×	`lower-*.f32`
1 662×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	599
1	159	599
2	391	594
3	1012	582
4	2610	582
5	5588	582
0	8291	555

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

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

rewrite307.0ms (4.4%)

Memory

14.8MiB live, 234.7MiB allocated

Rules

6 232×	`lower-fma.f32`
6 228×	`lower-fma.f64`
4 178×	`lower-*.f32`
4 174×	`lower-*.f64`
4 110×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	17	43
1	75	43
2	318	43
3	2491	43
0	8454	43

Stop Event

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

Counts

6 → 752

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)) (/.f64 i (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 i i)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 i i) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i))) (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal -16 binary64))) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal -4096 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) #s(literal 64 binary64))) (neg.f64 (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64))))
(.f64 (/.f64 (.f64 i i) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal -16 binary64)))) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal -64 binary64)))) (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (*.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 i) i)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (*.f64 i i)) #s(literal -1/2 binary64)))
(.f64 (/.f64 i #s(literal 1 binary64)) (/.f64 i (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))))
(.f64 (/.f64 i #s(literal -1 binary64)) (/.f64 i (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal -16 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))) (.f64 i i)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal -16 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) (*.f64 i i))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal -16 binary64))) (.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) (*.f64 i i)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4096 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) #s(literal 64 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64))) (.f64 i i)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4096 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) #s(literal 64 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64)) (*.f64 i i))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4096 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) #s(literal 64 binary64))) (.f64 (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64)) (*.f64 i i)))
(.f64 (/.f64 i (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal -16 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))) i) #s(literal -1 binary64)))
(.f64 (/.f64 i (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal -16 binary64))) (/.f64 i (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(.f64 (/.f64 i (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal -16 binary64))) (.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) i))
(.f64 (/.f64 i (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal -64 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (*.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64))) i) #s(literal -1 binary64)))
(.f64 (/.f64 i (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal -64 binary64))) (/.f64 i (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (*.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64)))))
(.f64 (/.f64 i (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal -64 binary64))) (.f64 (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64)) i))
(.f64 (/.f64 (.f64 i i) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))))
(.f64 (/.f64 (.f64 i i) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal -16 binary64))) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 i i) (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64)))))
(.f64 (/.f64 (.f64 i i) (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal -64 binary64))) (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64)))
(.f64 (/.f64 i (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64))) (neg.f64 i))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (*.f64 (neg.f64 i) i))
(.f64 #s(literal -1 binary64) (.f64 i (/.f64 i (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) (/.f64 (.f64 i i) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal -16 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64))) (*.f64 i i))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))))
(.f64 (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal -64 binary64))))
(.f64 (neg.f64 i) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) i))
(.f64 (neg.f64 i) (/.f64 i (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64))))
(.f64 (.f64 (neg.f64 i) i) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 i (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) i)
(.f64 (.f64 i i) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64))))
(.f64 i (/.f64 i (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (.f64 i i)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (.f64 i i)) (/.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (*.f64 i i))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (.f64 i i)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) (.f64 i i)) #s(literal -1 binary64))
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(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64))))) (/.f64 (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal -64 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (*.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 65536 binary64)) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal 16 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 256 binary64) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal 16 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) #s(literal 16777216 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 65536 binary64) (fma.f64 (.f64 (.f64 (.f64 i i) i) i) #s(literal 4096 binary64) #s(literal 256 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 65536 binary64) (fma.f64 (.f64 (.f64 (.f64 i i) i) i) #s(literal 4096 binary64) #s(literal 256 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 16 binary64) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 65536 binary64)) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal 16 binary64))) (neg.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 256 binary64) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal 16 binary64))) (neg.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) #s(literal 16777216 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 65536 binary64) (fma.f64 (.f64 (.f64 (.f64 i i) i) i) #s(literal 4096 binary64) #s(literal 256 binary64)))) (neg.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 65536 binary64) (fma.f64 (.f64 (.f64 (.f64 i i) i) i) #s(literal 4096 binary64) #s(literal 256 binary64)))) (neg.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i) (neg.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))) (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 65536 binary64)) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal 16 binary64))) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 256 binary64) (fma.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i #s(literal 16 binary64))) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) #s(literal 16777216 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 65536 binary64) (fma.f64 (.f64 (.f64 (.f64 i i) i) i) #s(literal 4096 binary64) #s(literal 256 binary64)))) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 65536 binary64) (fma.f64 (.f64 (.f64 (.f64 i i) i) i) #s(literal 4096 binary64) #s(literal 256 binary64)))) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) #s(literal 16777216 binary64)) (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal 64 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64)))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal 64 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) #s(literal 16777216 binary64)) (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal 64 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64))))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal 64 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) #s(literal 16777216 binary64)) (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal 64 binary64))) (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i) #s(literal 64 binary64))) (fma.f64 (.f64 i i) (-.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) #s(literal -64 binary64)) #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal -16 binary64) (.f64 i i)) #s(literal -1 binary64)) #s(literal 4 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i) (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) (/.f64 i (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) i) (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) (/.f64 i (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) (/.f64 i (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)))
(-.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (.f64 #s(literal -16 binary64) (.f64 i i))) #s(literal -4 binary64))
(+.f64 (.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) i) (/.f64 i (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))))
(+.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) (neg.f64 (.f64 #s(literal -16 binary64) (.f64 i i))))
(+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))

eval161.0ms (2.3%)

Memory: 14.7MiB live, 213.3MiB allocated
Compiler: Compiled 31 287 to 1 922 computations (93.9% saved)

prune172.0ms (2.5%)

Memory

-11.6MiB live, 275.1MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	892	0	892
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	892	8	900

Accuracy

100.0%

Counts

900 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.4%	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
✓	74.2%	(.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i)
✓	74.1%	(.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i)
✓	52.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	47.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
✓	47.9%	#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)) (.f64 (neg.f64 i) i)))
✓	47.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	52.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 205 to 92 computations (55.1% saved)

regimes11.0ms (0.2%)

Memory

-23.7MiB live, 18.4MiB allocated

Counts

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

6.0ms

(/.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)))

4.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`i`
99.8%	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)

regimes6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

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

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

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
100.0%	2	`i`
78.0%	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

6.2MiB live, 6.2MiB 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 #s(literal -1/4 binary64) (.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#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)) (.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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 #s(literal -1/4 binary64) (.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#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)) (.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))

Outputs

#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)) (*.f64 (neg.f64 i) i)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

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

Outputs

#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)) (*.f64 (neg.f64 i) i)))

#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
98.6%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.2%)

Memory

-33.4MiB live, 5.7MiB 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 #s(literal -1/4 binary64) (*.f64 i i)))

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

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.6%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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 #s(literal -1/4 binary64) (*.f64 i i)))

Outputs

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

#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
97.9%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB 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
52.4%	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)))`
52.4%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch14.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	11557685.427688666	3317464691.3493247

Samples

7.0ms

128×

valid

Compiler

Compiled 157 to 102 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (58.7% of total)

ival-sub: 1.0ms (19.6% of total)

ival-div: 1.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch42.0ms (0.6%)

Memory

-8.5MiB live, 28.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	0.3995196587372973	11.98679526979255

Samples

7.0ms

112×

valid

Compiler

Compiled 197 to 119 computations (39.6% saved)

Precisions

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

ival-mult: 2.0ms (45.5% of total)

ival-sub: 1.0ms (22.8% of total)

ival-div: 1.0ms (22.8% 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

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3995196587372973	11.98679526979255

Compiler

Compiled 183 to 112 computations (38.8% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3995196587372973	11.98679526979255

Compiler

Compiled 141 to 84 computations (40.4% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3995196587372973	11.98679526979255

Compiler

Compiled 141 to 84 computations (40.4% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3995196587372973	11.98679526979255

Compiler

Compiled 113 to 70 computations (38.1% saved)

simplify12.0ms (0.2%)

Memory

-14.0MiB live, 21.8MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
24×	`+-commutative_binary64`
22×	`sub-neg_binary64`
22×	`neg-sub0_binary64`
22×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	417
1	74	417
2	100	417
3	128	417
4	142	417
5	148	417
6	149	417

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 46000000 binary64)) (.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) 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 (fma.f64 (.f64 i i) i (.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #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)) (.f64 (neg.f64 i) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #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)) (.f64 (neg.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 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 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 #s(literal -1/4 binary64) (.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)) #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 46000000 binary64)) (.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) 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 (fma.f64 (.f64 i i) i (.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #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 (neg.f64 i) (fma.f64 (.f64 i i) i (.f64 #s(literal 1/4 binary64) i)))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #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)) (.f64 (neg.f64 i) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #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 (.f64 (neg.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 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #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)) (.f64 (neg.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 (.f64 (neg.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 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 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 #s(literal -1/4 binary64) (.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)) #s(literal 1/16 binary64))

soundness1.1s (15.3%)

Memory

27.8MiB live, 733.7MiB allocated

Rules

15 408×	`lower-fma.f64`
15 408×	`lower-fma.f32`
7 380×	`lower-fma.f32`
7 372×	`lower-fma.f64`
5 018×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1045	396
5	2097	396
6	4072	396
7	6268	396
0	8056	384
0	10	66
0	17	50
1	75	44
2	653	32
0	8740	30
0	31	188
0	42	164
1	177	156
2	1377	140
0	8499	132
0	32	175
0	50	156
1	217	148
2	1617	129
0	9492	127

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

Compiler

Compiled 288 to 135 computations (53.1% saved)

preprocess63.0ms (0.9%)

Memory: 13.3MiB live, 208.5MiB allocated
Remove: (abs i)
Compiler: Compiled 322 to 118 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start35.0ms (0.5%)

analyze3.0ms (0%)

sample862.0ms (12.3%)

explain132.0ms (1.9%)

preprocess219.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify135.0ms (1.9%)

localize30.0ms (0.4%)

series36.0ms (0.5%)

simplify212.0ms (3%)

rewrite176.0ms (2.5%)

eval89.0ms (1.3%)

prune165.0ms (2.4%)

simplify174.0ms (2.5%)

localize86.0ms (1.2%)

series10.0ms (0.1%)

simplify199.0ms (2.8%)

rewrite457.0ms (6.5%)

eval94.0ms (1.3%)

prune83.0ms (1.2%)

simplify348.0ms (5%)

localize279.0ms (4%)

series78.0ms (1.1%)

simplify129.0ms (1.8%)

rewrite186.0ms (2.6%)

eval319.0ms (4.5%)

prune301.0ms (4.3%)

simplify57.0ms (0.8%)

localize94.0ms (1.3%)

series3.0ms (0%)

simplify134.0ms (1.9%)

rewrite307.0ms (4.4%)

eval161.0ms (2.3%)

prune172.0ms (2.5%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes12.0ms (0.2%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch14.0ms (0.2%)

bsearch42.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify12.0ms (0.2%)

soundness1.1s (15.3%)

preprocess63.0ms (0.9%)

end0.0ms (0%)

Profiling