Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze24.0ms (0.3%)

Memory

-34.1MiB live, 4.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.4s (19.2%)

Memory

54.5MiB live, 1 619.6MiB allocated

Samples

617.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

ival-mult: 216.0ms (46.6% of total)

ival-div: 143.0ms (30.9% of total)

ival-sub: 64.0ms (13.8% of total)

ival->: 24.0ms (5.2% of total)

exact: 13.0ms (2.8% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain131.0ms (1.8%)

Memory

20.8MiB live, 215.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
186	-	4	(9.988360549108895e-160)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
76	-	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	76	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	108
↳	`(*.f64 i i)`	overflow	152
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	76
`/.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	76	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	108
↳	`(*.f64 i i)`	overflow	152
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	76
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	76
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	76
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	76
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	50	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	79
↳	`(*.f64 i i)`	underflow	100
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	50
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	32	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	108
↳	`(*.f64 i i)`	overflow	152
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	24	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	79
↳	`(*.f64 i i)`	underflow	100

Confusion

	Predicted +	Predicted -
+	182	4
-	0	70

Precision

1.0

Recall

0.978494623655914

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	182	0	4
-	0	0	70

Precision?

1.0

Recall?

0.978494623655914

Freqs

test

number	freq
0	74
1	106
2	76

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 245 to 73 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 12.0ms (54.6% of total)

ival-div: 7.0ms (31.9% of total)

ival-sub: 2.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess181.0ms (2.4%)

Memory

1.9MiB live, 185.3MiB 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 25 to 10 computations (60% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.3%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

29.3%

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

Compiler

Compiled 25 to 10 computations (60% saved)

simplify174.0ms (2.3%)

Memory

-21.7MiB live, 159.9MiB 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	7168	(/.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))
(pow.f64 i #s(literal 4 binary64))
(*.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)

localize49.0ms (0.7%)

Memory

-8.9MiB live, 73.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.12337875976844202	(.f64 (.f64 i i) (*.f64 i i))
accuracy	18.419846804562095	(/.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	40.96019957267663	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

42.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 27.0ms (85.8% of total)

ival-div: 3.0ms (9.5% of total)

ival-sub: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB 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 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 (* 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 -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 (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 (* 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 (* 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 1/16 (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 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 (.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 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 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 (* 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 1/16 (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 -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 (.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 -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 -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

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)) (* 2 i))

2.0ms

((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)) (* 2 i))

2.0ms

-inf

((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)) (* 2 i))

simplify164.0ms (2.2%)

Memory

3.6MiB live, 189.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 840×	`lower-fma.f64`
16 840×	`lower-fma.f32`
4 092×	`lower-*.f64`
4 092×	`lower-*.f32`
1 760×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1042	396
5	2094	396
6	4001	396
7	6190	396
0	8145	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))
(* (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))
(* 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)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
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))
(* (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)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
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))
(* (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)
(* 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 #s(literal -1/4 binary64) (.f64 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) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 i i (fma.f64 (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.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))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 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)
(* 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)
1/16
#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) (pow.f64 i #s(literal 4 binary64))) (+.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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 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))
(* (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)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 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)
(* 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)
1/16
#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) (pow.f64 i #s(literal 4 binary64))) (+.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))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 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))
(* (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)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 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)

rewrite153.0ms (2.1%)

Memory

-22.6MiB live, 221.4MiB 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 (pow.f64 (.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #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) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) i))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #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 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) i) i)))
(.f64 (/.f64 #s(literal -1/4 binary64) (.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(.f64 (.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 i (.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (neg.f64 i) (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (neg.f64 i) (.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (/.f64 #s(literal 1/2 binary64) i) (.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 (.f64 i (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(.f64 (pow.f64 i #s(literal -1 binary64)) (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) i) (.f64 (pow.f64 i #s(literal -1 binary64)) (.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 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) i))
(.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) i)))
(.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (neg.f64 i) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64)))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal 1/4 binary64) i))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (pow.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (pow.f64 i #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i))
(.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.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 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 2 binary64)))
(.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(.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 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) i) i)
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 (neg.f64 i) i))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (.f64 i i)))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) i) i))
(/.f64 (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) i)) i)
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 4 binary64))) i)
(/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))) (.f64 i i))
(/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 4 binary64))) (.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #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) (pow.f64 i #s(literal 3 binary64))) i)
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (*.f64 i i))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) i) (.f64 (.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) i) (pow.f64 i #s(literal 3 binary64))) (.f64 (.f64 #s(literal 2 binary64) i) i))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (.f64 i i)))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 i i)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (.f64 (neg.f64 i) i))
(/.f64 (neg.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (.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 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 i i))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) i)
(/.f64 (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 i i))
(/.f64 (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) #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 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) i)
(/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 i i))
(/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 i #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) (pow.f64 i #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1/4 binary64) i) (*.f64 i (pow.f64 i #s(literal -4 binary64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal -1 binary64)))
(/.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 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -2 binary64) i))
(/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) (neg.f64 (.f64 #s(literal -2 binary64) i)))
(/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) i))
(/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) i))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (pow.f64 i #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) i))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) i) i) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) #s(literal 1 binary64))
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(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #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 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #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 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) i)
(*.f64 (neg.f64 (neg.f64 i)) (pow.f64 i #s(literal 3 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 i) i)) (*.f64 i i))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (neg.f64 i))
(*.f64 (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 3 binary64))))
(.f64 (.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) i))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 (neg.f64 i)))
(*.f64 (pow.f64 i #s(literal 3 binary64)) i)
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #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 (neg.f64 (pow.f64 i #s(literal 3 binary64)))))
(*.f64 i (pow.f64 i #s(literal 3 binary64)))
(pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 i #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(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) (pow.f64 i #s(literal -1 binary64)))
(.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)))

eval127.0ms (1.7%)

Memory: 51.5MiB live, 276.9MiB allocated
Compiler: Compiled 20 488 to 1 923 computations (90.6% saved)

prune94.0ms (1.3%)

Memory

-10.9MiB live, 271.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	850	6	856
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	851	6	857

Accuracy

100.0%

Counts

857 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.3%	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
▶	71.1%	(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
▶	51.2%	#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)))
▶	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
▶	48.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
▶	51.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 100 to 76 computations (24% saved)

simplify265.0ms (3.6%)

Memory

-9.8MiB live, 129.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

10 658×	`lower-fma.f32`
10 656×	`lower-fma.f64`
4 894×	`lower-*.f32`
4 882×	`lower-*.f64`
2 968×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	217
0	43	197
1	94	189
2	286	165
3	1292	165
4	3785	160
5	5926	160
0	8510	155

Stop Event

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

Calls

Call 1

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

localize226.0ms (3%)

Memory

-18.1MiB live, 91.8MiB 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	0.6304691399793337	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	31.21050320414209	#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	(*.f64 i i)
accuracy	0.01953125	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
accuracy	0.046875	(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
accuracy	32.54337705000198	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
accuracy	0	(*.f64 i i)
accuracy	0.00390625	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	32.85460395312201	#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	31.118595661567582	#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	(*.f64 #s(literal 1/4 binary64) i)
accuracy	0.09375	(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
accuracy	17.80668651659135	(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))

Samples

60.0ms

256×

valid

Compiler

Compiled 196 to 29 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 15.0ms (42.8% of total)

ival-mult: 14.0ms (39.9% of total)

ival-sub: 2.0ms (5.7% of total)

ival-add: 2.0ms (5.7% of total)

exact: 1.0ms (2.9% of total)

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

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

series13.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

((* (/ i (+ (* 4 (* i i)) -1)) (* 1/4 i)) (/ i (+ (* 4 (* i i)) -1)) (+ (* 4 (* i i)) -1) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* 1/4 i))

2.0ms

inf

((* (/ i (+ (* 4 (* i i)) -1)) (* 1/4 i)) (/ i (+ (* 4 (* i i)) -1)) (+ (* 4 (* i i)) -1) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* 1/4 i))

2.0ms

-inf

((* (/ i (+ (* 4 (* i i)) -1)) (* 1/4 i)) (/ i (+ (* 4 (* i i)) -1)) (+ (* 4 (* i i)) -1) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* 1/4 i))

simplify118.0ms (1.6%)

Memory

2.8MiB live, 87.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 418×	`lower-fma.f64`
6 418×	`lower-fma.f32`
3 180×	`lower-*.f64`
3 180×	`lower-*.f32`
1 950×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1419
1	248	1419
2	688	1358
3	2086	1357
4	5960	1357
0	8551	1327

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 i)
(* i (- (* -4 (pow i 2)) 1))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(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))
(* -1/4 (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))
(* -1/4 (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))
(* -1/4 (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))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -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))
(/ 1/64 (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))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
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)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(* 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 2)
(pow i 2)
(pow i 2)
(pow i 2)
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))
1/16
(+ 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 (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 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
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 (* 1/64 (/ 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))
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
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)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
(* 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 2)
(pow i 2)
(pow i 2)
(pow i 2)
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))
1/16
(+ 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 (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 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
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 (* 1/64 (/ 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))
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 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 (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 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
(* -1 i)
(neg.f64 i)
(* i (- (* -4 (pow i 2)) 1))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (neg.f64 i))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -64 binary64) (.f64 i i) #s(literal -16 binary64)) (.f64 i i) #s(literal -4 binary64)) (neg.f64 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))
(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 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.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 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.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))
(* (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 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(* (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) (- (* -1 (pow i 2)) 1/4))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.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 (- (* -1 (pow i 2)) 1/4))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(* i (- (* -1 (pow i 2)) 1/4))
(.f64 (-.f64 #s(literal -1/4 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))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 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 (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 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) i) i)
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) i) i)
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) 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))
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
1/16
#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) (pow.f64 i #s(literal 4 binary64))) #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) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 i i)) #s(literal -1/4 binary64)) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 i i))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal -1/16 binary64) (*.f64 i i)))) i)
(* 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 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.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) (pow.f64 i #s(literal 4 binary64))) #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) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.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) (pow.f64 i #s(literal 4 binary64))) #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) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.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))
1/16
#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) (pow.f64 i #s(literal 4 binary64))) #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) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(* -1 (pow i 3))
(neg.f64 (pow.f64 i #s(literal 3 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 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) (pow.f64 i #s(literal 4 binary64))) #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) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.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))
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
1/16
#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) (pow.f64 i #s(literal 4 binary64))) #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) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 i i)) #s(literal -1/4 binary64)) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal 1/64 binary64)) (pow.f64 i #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) i))
(* 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 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.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) (pow.f64 i #s(literal 4 binary64))) #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) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.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) (pow.f64 i #s(literal 4 binary64))) #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) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.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))
1/16
#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) (pow.f64 i #s(literal 4 binary64))) #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) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(* -1 (pow i 3))
(neg.f64 (pow.f64 i #s(literal 3 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 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) (pow.f64 i #s(literal 4 binary64))) #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) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.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))
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)

rewrite435.0ms (5.9%)

Memory

-11.7MiB live, 214.9MiB allocated

Rules

7 562×	`lower-fma.f32`
7 560×	`lower-fma.f64`
5 188×	`lower-*.f32`
5 176×	`lower-*.f64`
3 696×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	196
0	43	168
1	181	160
2	1332	129
0	8842	127

Stop Event

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

Counts

15 → 664

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (/.f64 i (*.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (/.f64 i (.f64 #s(literal 2 binary64) i))) (/.f64 i (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (.f64 i #s(literal 1/2 binary64))) (/.f64 i (.f64 (*.f64 #s(literal 2 binary64) i) i)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (.f64 i (pow.f64 i #s(literal -2 binary64)))) (.f64 #s(literal 1/4 binary64) i))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (.f64 #s(literal 1/4 binary64) i)) (.f64 i (pow.f64 i #s(literal -2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (.f64 i i)) (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) i) (.f64 i (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64)))))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))) (/.f64 i (.f64 (.f64 #s(literal 2 binary64) i) i)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) i))) (/.f64 (.f64 i i) i))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 i i) #s(literal 1/2 binary64))) (/.f64 (.f64 i i) (.f64 (.f64 #s(literal 2 binary64) i) i)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 i (.f64 #s(literal 4 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) i))) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 i (.f64 #s(literal 2 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 i #s(literal 1/2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) i) i)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (*.f64 i (pow.f64 i #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 i (pow.f64 i #s(literal -2 binary64)))) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 i #s(literal 3 binary64))) (.f64 i (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64)))))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal 4 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 i #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 i i)) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) (.f64 i (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))))) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 i (fma.f64 #s(literal -4 binary64) (.f64 i i) (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64)))
(.f64 (pow.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) (*.f64 #s(literal 4 binary64) i)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 i 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 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64)))
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(neg.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 i (/.f64 i (*.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64))
(.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (/.f64 i (.f64 (*.f64 #s(literal 2 binary64) i) i)))
(.f64 (.f64 i (.f64 i (pow.f64 i #s(literal -2 binary64)))) (.f64 #s(literal 1/4 binary64) i))
(.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64))))
(.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64))))
(*.f64 #s(literal 1/4 binary64) i)
(.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 i (.f64 #s(literal 2 binary64) i)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) i))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (.f64 i (pow.f64 i #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64))
(.f64 (.f64 i i) (.f64 i (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64)))))
(*.f64 i #s(literal 1/4 binary64))
(/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (.f64 #s(literal -4 binary64) (.f64 i i)))
(/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (.f64 i i) #s(literal 4 binary64)))
(/.f64 (neg.f64 i) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) i))
(/.f64 i #s(literal 4 binary64))

eval191.0ms (2.6%)

Memory: 10.2MiB live, 217.7MiB allocated
Compiler: Compiled 15 124 to 2 343 computations (84.5% saved)

prune167.0ms (2.2%)

Memory

-14.1MiB live, 223.7MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	940	3	943
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	942	7	949

Accuracy

100.0%

Counts

949 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.3%	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
✓	71.1%	(.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
✓	51.2%	#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)))
▶	49.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i))
▶	49.1%	#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)))
▶	48.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i))
✓	51.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 63 to 47 computations (25.4% saved)

simplify492.0ms (6.6%)

Memory

-106.1MiB live, 261.2MiB 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	(*.f64 (neg.f64 i) i)
cost-diff	0	(.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i)
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i))
cost-diff	320	(fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i))
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)))
cost-diff	0	#s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64))
cost-diff	0	(.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i)
cost-diff	0	(.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i)
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i))

Rules

11 682×	`lower-fma.f32`
11 676×	`lower-fma.f64`
4 654×	`lower-*.f32`
4 638×	`lower-*.f64`
3 006×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	222
0	48	202
1	115	190
2	360	175
3	1467	172
4	4307	172
5	6866	172
0	8221	167

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

localize108.0ms (1.5%)

Memory

-24.2MiB live, 134.8MiB 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	18.423753054562095	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
accuracy	0	(neg.f64 i)
accuracy	0.01953125	(.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i)
accuracy	0.02734375	(fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i))
accuracy	32.54337705000198	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i))
accuracy	0	(*.f64 (neg.f64 i) i)
accuracy	0	(neg.f64 i)
accuracy	0.0625	(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
accuracy	32.54337705000198	#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)))
accuracy	0.01953125	(.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i)
accuracy	0.046875	(.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i)
accuracy	31.820588703696437	#s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64))
accuracy	32.54337705000198	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i))

Samples

80.0ms

256×

valid

Compiler

Compiled 191 to 31 computations (83.8% saved)

Precisions

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

ival-mult: 31.0ms (46.1% of total)

ival-div: 28.0ms (41.7% of total)

ival-add: 3.0ms (4.5% of total)

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

exact: 1.0ms (1.5% of total)

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

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

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

series13.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB 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 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i) (patch (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i) (patch (.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i) #<representation binary64>) () ())
#s(alt #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) (patch #s(approx (- -1/4 (* 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 (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 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) (patch (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i)) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i) (patch (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i) #<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 (.f64 i i) (patch (.f64 i i) #<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 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) 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 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) 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 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) 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 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i)) (patch #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i) (patch (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i) (patch (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i) (patch (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i) (patch (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i) #<representation binary64>) () ())) ())
#s(alt (* -1/4 i) (taylor 0 i) (#s(alt (.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i) (patch (.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i) #<representation binary64>) () ())) ())
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i) (patch (.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i) #<representation binary64>) () ())) ())
#s(alt (* i (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i) (patch (.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i) #<representation binary64>) () ())) ())
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#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 (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 (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 -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 3)) (taylor -inf i) (#s(alt (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) (patch (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) (patch (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) (patch (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) (taylor -inf i) (#s(alt (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) (patch (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) 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 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i)) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) 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 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i)) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) 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 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i)) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) 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 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i)) (patch #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow i 4)) (taylor -inf i) (#s(alt (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i) (patch (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) 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 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i) (patch (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) 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 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i) (patch (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) 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 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i) (patch (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i) #<representation binary64>) () ())) ())
#s(alt (* 16 (pow i 2)) (taylor -inf i) (#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 (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) (taylor -inf i) (#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 (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) (taylor -inf i) (#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 (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2))))) (taylor -inf i) (#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 1/16 (taylor -inf i) (#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 (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#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 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (taylor -inf i) (#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 (+ 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) (.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 (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 (* 4 (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 (* (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 -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

3 calls:

Time

Variable

Point

Expression

3.0ms

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (+ (* (* (neg i) i) i) (* -1/4 i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* (neg i) i) i) (* -1/4 i)) i) (* 4 (+ (* 4 (* i i)) -1)) (/ (* i i) (* 4 (+ (* 4 (* i i)) -1))) (* i i) (+ (* 4 (* i i)) -1) (neg i))

2.0ms

inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (+ (* (* (neg i) i) i) (* -1/4 i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* (neg i) i) i) (* -1/4 i)) i) (* 4 (+ (* 4 (* i i)) -1)) (/ (* i i) (* 4 (+ (* 4 (* i i)) -1))) (* i i) (+ (* 4 (* i i)) -1) (neg i))

2.0ms

-inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (+ (* (* (neg i) i) i) (* -1/4 i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* (neg i) i) i) (* -1/4 i)) i) (* 4 (+ (* 4 (* i i)) -1)) (/ (* i i) (* 4 (+ (* 4 (* i i)) -1))) (* i i) (+ (* 4 (* i i)) -1) (neg i))

simplify133.0ms (1.8%)

Memory

16.7MiB live, 205.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 258×	`lower-fma.f64`
15 258×	`lower-fma.f32`
3 204×	`lower-*.f64`
3 204×	`lower-*.f32`
1 410×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1386
1	169	1386
2	479	1328
3	1454	1312
4	4562	1312
0	8431	1273

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

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

rewrite136.0ms (1.8%)

Memory

-6.8MiB live, 269.4MiB allocated

Rules

4 340×	`lower-/.f32`
4 338×	`lower-/.f64`
3 962×	`lower-*.f32`
3 946×	`lower-*.f64`
3 138×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	204
0	48	178
1	207	166
2	1499	146
0	8689	145

Stop Event

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

Counts

16 → 704

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i))
(.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i)
(.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i)
#s(approx (- -1/4 (* i i)) #s(literal -1/4 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)))
(.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 (neg.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 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i))
(.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i)
(.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))))
(*.f64 i i)
(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 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i))
(.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i)
(.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) (*.f64 i i))
(.f64 (.f64 i i) #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)))
(.f64 i (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i))
(.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i)
(.f64 i #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)))
#s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(.f64 (.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 i i))) i) (pow.f64 (*.f64 i (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/64 binary64) (pow.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 3/2 binary64))) i) (pow.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) (fma.f64 #s(literal -1/4 binary64) i (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (neg.f64 i) i)) (pow.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (.f64 (neg.f64 i) i)) (pow.f64 (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(.f64 (.f64 i (-.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 i i)))) (pow.f64 (*.f64 i (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 i (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/64 binary64) (pow.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) (fma.f64 #s(literal -1/4 binary64) i (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 i) i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (neg.f64 i) i) (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(.f64 (.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64))) i)
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 i i)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 i i) (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(.f64 (.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64)))
(.f64 (neg.f64 i) (.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(.f64 i (.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 i (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i))
(/.f64 (-.f64 (.f64 (.f64 i (.f64 #s(literal -1/4 binary64) i)) (.f64 i (.f64 #s(literal -1/4 binary64) i))) (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))) (-.f64 (.f64 i (.f64 #s(literal -1/4 binary64) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))) (-.f64 (.f64 (*.f64 #s(literal -1/4 binary64) i) i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (.f64 (.f64 i (.f64 #s(literal -1/4 binary64) i)) (.f64 i (.f64 #s(literal -1/4 binary64) i)))) (-.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 i (.f64 #s(literal -1/4 binary64) i))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (pow.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) #s(literal 2 binary64))) (-.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (*.f64 #s(literal -1/4 binary64) i) i)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i)) (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i))) (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i)) (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i)))) (-.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i))))
(/.f64 (+.f64 (pow.f64 (.f64 i (.f64 #s(literal -1/4 binary64) i)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 i (.f64 #s(literal -1/4 binary64) i)) (.f64 i (.f64 #s(literal -1/4 binary64) i)) (-.f64 (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (.f64 (.f64 i (.f64 #s(literal -1/4 binary64) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 i (.f64 #s(literal -1/4 binary64) i)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))) (-.f64 (.f64 (.f64 i (.f64 #s(literal -1/4 binary64) i)) (.f64 i (.f64 #s(literal -1/4 binary64) i))) (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 i (.f64 #s(literal -1/4 binary64) i))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)) (.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (fma.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) i) i)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i)) (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i)) (-.f64 (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i)) (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i))) (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 i i))) i)) (neg.f64 (.f64 i (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/64 binary64) (pow.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 3/2 binary64))) i)) (neg.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) i) (fma.f64 #s(literal -1/4 binary64) i (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 i (-.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 i i))))) (neg.f64 (.f64 i (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 i (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/64 binary64) (pow.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) i) (fma.f64 #s(literal -1/4 binary64) i (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (neg.f64 i) i))) (neg.f64 (fma.f64 i i #s(literal -1/4 binary64))))
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eval286.0ms (3.9%)

Memory: 3.4MiB live, 254.3MiB allocated
Compiler: Compiled 17 037 to 2 168 computations (87.3% saved)

prune232.0ms (3.1%)

Memory

-6.0MiB live, 150.9MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	977	2	979
Fresh	0	0	0
Picked	1	3	4
Done	1	2	3
Total	979	7	986

Accuracy

100.0%

Counts

986 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.3%	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
▶	71.1%	(.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i)
✓	51.2%	#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)))
✓	49.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i))
✓	49.1%	#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)))
✓	48.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i))
✓	51.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB 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)

localize63.0ms (0.8%)

Memory

-4.2MiB live, 33.7MiB 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	18.423753054562095	(/.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	0.09375	(.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i)
accuracy	17.797224318344387	(/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

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

ival-mult: 6.0ms (49.5% of total)

ival-div: 4.0ms (33% of total)

ival-add: 2.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB 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 (* -1/4 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 -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 (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 (* -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 -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 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 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 (* 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 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 1/16 (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 (* 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 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 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 (* 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 -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 1/16 (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 (* 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

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((* (/ i (+ (* 16 (* i i)) -4)) i) (/ i (+ (* 16 (* i i)) -4)) (+ (* 16 (* i i)) -4) (* i i) (/ (* i i) (+ (* (* i i) 16) -4)) (+ (* (* i i) 16) -4))

1.0ms

inf

((* (/ i (+ (* 16 (* i i)) -4)) i) (/ i (+ (* 16 (* i i)) -4)) (+ (* 16 (* i i)) -4) (* i i) (/ (* i i) (+ (* (* i i) 16) -4)) (+ (* (* i i) 16) -4))

1.0ms

((* (/ i (+ (* 16 (* i i)) -4)) i) (/ i (+ (* 16 (* i i)) -4)) (+ (* 16 (* i i)) -4) (* i i) (/ (* i i) (+ (* (* i i) 16) -4)) (+ (* (* i i) 16) -4))

simplify132.0ms (1.8%)

Memory

-11.6MiB live, 105.3MiB 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	1007	582
4	2604	582
5	5582	582
0	8311	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))
(* -1/4 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))
-4
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 4)
(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))
-4
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 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 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)
(* 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)
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))))))
(* 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)))))
1/16
(+ 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 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))
(* 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)
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))))))
(* 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 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) (*.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 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) i)
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) 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))
(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 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) (*.f64 i 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))
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 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal -1/64 binary64)) 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) (pow.f64 i #s(literal 6 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i i))) i) i)) #s(literal -1/16 binary64))
(/ 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 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal -1/64 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #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) (pow.f64 i #s(literal 6 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i i))) i) i)) #s(literal -1/16 binary64)) i)
(* 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)
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 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal -1/64 binary64)) 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) (pow.f64 i #s(literal 6 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i i))) i) i)) #s(literal -1/16 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))
1/16
#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 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal -1/64 binary64)) 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) (pow.f64 i #s(literal 6 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i i))) i) i)) #s(literal -1/16 binary64))
(/ 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 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal -1/64 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #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)) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) i)
(* 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)
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 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal -1/64 binary64)) 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) (pow.f64 i #s(literal 6 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i i))) i) i)) #s(literal -1/16 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))

rewrite252.0ms (3.4%)

Memory

24.3MiB live, 208.1MiB 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)) (pow.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 i i) (-.f64 #s(literal 16 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)))) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #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) (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (*.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)))))
(.f64 (/.f64 (.f64 i i) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #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 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 i) i)) (pow.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #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 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 i i)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)) #s(literal -1 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) (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))) #s(literal -1 binary64)) (*.f64 i i)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))) (.f64 i i)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64))) (.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))) (.f64 i i)))
(.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) i) #s(literal -1 binary64)))
(.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))) (/.f64 i (pow.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))) (.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) i))
(.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))) #s(literal -1 binary64)) i) #s(literal -1 binary64)))
(.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))) (/.f64 i (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))) (.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (*.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))) i))
(.f64 (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (*.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (*.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 (pow.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) #s(literal -1 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 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal -1 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 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))) (/.f64 (*.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))))
(.f64 (neg.f64 i) (.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 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) (pow.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 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) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal -1 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 (pow.f64 i #s(literal -2 binary64)) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) (.f64 (pow.f64 i #s(literal -2 binary64)) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)))) (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)))) (-.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))))) (.f64 (.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) (.f64 (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) (-.f64 (.f64 (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))))) (.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) (.f64 (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))))) (.f64 (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) (.f64 (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)) (/.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))))))))
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(fma.f64 i (pow.f64 (*.f64 #s(literal 16 binary64) i) #s(literal 1 binary64)) #s(literal -4 binary64))
(fma.f64 i (/.f64 (.f64 (.f64 #s(literal 256 binary64) (.f64 i i)) 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)))))
(fma.f64 i (*.f64 #s(literal 16 binary64) i) #s(literal -4 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))) #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (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 (pow.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (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 (pow.f64 i #s(literal 12 binary64)) (pow.f64 (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (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 (pow.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (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 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64)) (.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal 16 binary64)))))
(-.f64 (/.f64 #s(literal 16 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64))))) (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 16777216 binary64)) (.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4096 binary64) #s(literal 256 binary64))))) (/.f64 #s(literal 4096 binary64) (.f64 (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4096 binary64) #s(literal 256 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 16777216 binary64)) (.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64)))) (/.f64 #s(literal 4096 binary64) (.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (*.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)))))) (/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.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 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #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 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #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 (pow.f64 i #s(literal 12 binary64)) #s(literal 16777216 binary64)) (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #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 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #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 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (.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 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #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 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal 16 binary64))) (neg.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 16777216 binary64)) (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #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 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #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 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (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 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #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 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal 16 binary64))) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 16777216 binary64)) (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #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 (pow.f64 i #s(literal 8 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #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 (pow.f64 i #s(literal 12 binary64)) #s(literal 16777216 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (*.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 16777216 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)))))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (*.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 16777216 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (fma.f64 (*.f64 i i) #s(literal 64 binary64) #s(literal 16 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (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 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #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 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (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 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (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 #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 (pow.f64 (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (.f64 #s(literal -16 binary64) (.f64 i i))) #s(literal -4 binary64))
(+.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -16 binary64) (.f64 i i) #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)))

eval210.0ms (2.8%)

Memory: -32.4MiB live, 179.8MiB allocated
Compiler: Compiled 22 506 to 1 968 computations (91.3% saved)

prune121.0ms (1.6%)

Memory

26.4MiB live, 139.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	892	0	892
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	892	7	899

Accuracy

100.0%

Counts

899 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.3%	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
✓	71.1%	(.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (.f64 i i) #s(literal -4 binary64))) i)
✓	51.2%	#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)))
✓	49.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i))
✓	49.1%	#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)))
✓	48.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i))
✓	51.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 183 to 96 computations (47.5% saved)

regimes9.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

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

Calls

2 calls:

4.0ms

(/.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`
81.1%	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 26 to 11 computations (57.7% saved)

regimes23.0ms (0.3%)

Memory

-42.4MiB live, 4.3MiB allocated

Counts

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

Outputs

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

22.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

4.0MiB live, 4.0MiB 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 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) 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 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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:

3.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) 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 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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
98.9%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB 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 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) i) i))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) 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
98.4%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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
98.4%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

7.7MiB live, 7.7MiB 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
51.4%	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)))`
51.4%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch32.0ms (0.4%)

Memory

-15.6MiB live, 22.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
31.0ms	236.53251372088383	5857.353593022081

Samples

5.0ms

80×

valid

Compiler

Compiled 118 to 94 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (59.7% of total)

ival-div: 1.0ms (29.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.010332706694604598	8.032006925364414

Samples

8.0ms

128×

valid

Compiler

Compiled 188 to 150 computations (20.2% saved)

Precisions

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

ival-mult: 3.0ms (58.3% of total)

ival-sub: 1.0ms (19.4% of total)

ival-div: 1.0ms (19.4% 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

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.010332706694604598	8.032006925364414

Compiler

Compiled 172 to 142 computations (17.4% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.010332706694604598	8.032006925364414

Compiler

Compiled 124 to 110 computations (11.3% saved)

bsearch13.0ms (0.2%)

Memory

-34.5MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.010332706694604598	8.032006925364414

Compiler

Compiled 100 to 102 computations (-2% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.010332706694604598	8.032006925364414

Compiler

Compiled 92 to 94 computations (-2.2% saved)

simplify40.0ms (0.5%)

Memory

31.5MiB live, 69.9MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	416
1	69	416
2	74	416
3	77	416
4	78	416

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 5000 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)) (+.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 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) 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 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) 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 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) 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 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) 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 #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
(if (<=.f64 i #s(literal 5000 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)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 5000 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)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) 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 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i)) i)) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) 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 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i) i)) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) 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 #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)) 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 #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))

soundness1.0s (13.8%)

Memory

11.4MiB live, 731.8MiB allocated

Rules

16 840×	`lower-fma.f64`
16 840×	`lower-fma.f32`
7 562×	`lower-fma.f32`
7 560×	`lower-fma.f64`
6 418×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1042	396
5	2094	396
6	4001	396
7	6190	396
0	8145	384
0	31	196
0	43	168
1	181	160
2	1332	129
0	8842	127
0	104	1419
1	248	1419
2	688	1358
3	2086	1357
4	5960	1357
0	8551	1327
0	32	204
0	48	178
1	207	166
2	1499	146
0	8689	145
0	10	66
0	17	50
1	75	44
2	653	32
0	8740	30

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

Compiler

Compiled 230 to 123 computations (46.5% saved)

preprocess116.0ms (1.6%)

Memory: 16.0MiB live, 217.5MiB allocated
Remove: (abs i)
Compiler: Compiled 316 to 130 computations (58.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze24.0ms (0.3%)

sample1.4s (19.2%)

explain131.0ms (1.8%)

preprocess181.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify174.0ms (2.3%)

localize49.0ms (0.7%)

series8.0ms (0.1%)

simplify164.0ms (2.2%)

rewrite153.0ms (2.1%)

eval127.0ms (1.7%)

prune94.0ms (1.3%)

simplify265.0ms (3.6%)

localize226.0ms (3%)

series13.0ms (0.2%)

simplify118.0ms (1.6%)

rewrite435.0ms (5.9%)

eval191.0ms (2.6%)

prune167.0ms (2.2%)

simplify492.0ms (6.6%)

localize108.0ms (1.5%)

series13.0ms (0.2%)

simplify133.0ms (1.8%)

rewrite136.0ms (1.8%)

eval286.0ms (3.9%)

prune232.0ms (3.1%)

simplify4.0ms (0.1%)

localize63.0ms (0.8%)

series4.0ms (0.1%)

simplify132.0ms (1.8%)

rewrite252.0ms (3.4%)

eval210.0ms (2.8%)

prune121.0ms (1.6%)

regimes9.0ms (0.1%)

regimes23.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch32.0ms (0.4%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch13.0ms (0.2%)

bsearch1.0ms (0%)

simplify40.0ms (0.5%)

soundness1.0s (13.8%)

preprocess116.0ms (1.6%)

end0.0ms (0%)

Profiling