Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.1s (20.9%)

Memory

-12.0MiB live, 1 470.1MiB allocated

Samples

780.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 483.0ms

ival-mult: 227.0ms (47% of total)

ival-div: 159.0ms (32.9% of total)

ival-sub: 47.0ms (9.7% of total)

ival->: 32.0ms (6.6% of total)

exact: 13.0ms (2.7% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain197.0ms (3.6%)

Memory

17.3MiB live, 245.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
204	-	6	(5.83644729011545e-159)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
73	-	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	73	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	97
↳	`(*.f64 i i)`	overflow	146
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	73
`/.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	73	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	97
↳	`(*.f64 i i)`	overflow	146
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	73
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	73
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	73
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	73
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	68	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	107
↳	`(*.f64 i i)`	underflow	136
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	68
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	33	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	107
↳	`(*.f64 i i)`	underflow	136
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	24	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	97
↳	`(*.f64 i i)`	overflow	146

Confusion

	Predicted +	Predicted -
+	198	6
-	0	52

Precision

1.0

Recall

0.9705882352941176

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	198	0	6
-	0	0	52

Precision?

1.0

Recall?

0.9705882352941176

Freqs

test

number	freq
0	58
1	125
2	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 245 to 73 computations (70.2% saved)

Precisions

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

ival-div: 22.0ms (58.6% of total)

ival-mult: 12.0ms (32% of total)

ival-sub: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess186.0ms (3.4%)

Memory

40.2MiB live, 232.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(*.f64 (/.f64 i (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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.7%	(/.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

▶

22.7%

(/.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)

simplify160.0ms (2.9%)

Memory

-8.1MiB live, 186.1MiB 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)

localize25.0ms (0.5%)

Memory

1.5MiB live, 38.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.08984375	(.f64 (.f64 i i) (*.f64 i i))
accuracy	17.689303920829385	(/.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	45.3210726264121	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

18.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (52.8% of total)

ival-div: 4.0ms (35.2% of total)

ival-sub: 1.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB 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	@	-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))
1.0ms	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))

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

-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))

1.0ms

((/ (* (* 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))

simplify164.0ms (3%)

Memory

21.1MiB live, 238.0MiB 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)

rewrite174.0ms (3.2%)

Memory

-22.0MiB live, 256.1MiB 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)))

eval133.0ms (2.4%)

Memory: 4.7MiB live, 258.2MiB allocated
Compiler: Compiled 20 488 to 1 923 computations (90.6% saved)

prune337.0ms (6.1%)

Memory

-15.5MiB live, 181.1MiB 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
	71.5%	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
▶	72.2%	(/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
▶	49.4%	#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)))
▶	51.5%	#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))
▶	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
▶	50.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 104 to 80 computations (23.1% saved)

simplify147.0ms (2.7%)

Memory

7.3MiB live, 158.8MiB 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 #s(literal 2 binary64) i)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) i)
cost-diff	320	(.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
cost-diff	704	(/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))

Rules

9 970×	`lower-fma.f32`
9 968×	`lower-fma.f64`
5 020×	`lower-*.f32`
5 008×	`lower-*.f64`
2 636×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	225
0	45	205
1	108	195
2	368	170
3	1587	170
4	3847	165
5	6500	165
0	8105	159

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) i)
#s(literal 1/2 binary64)
i
(.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 i i)
#s(literal -1 binary64)
#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 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (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 #s(literal 1/2 binary64) i)
#s(literal 1/2 binary64)
i
(.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64)) i)
(/.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(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)
#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)

localize92.0ms (1.7%)

Memory

18.8MiB live, 90.9MiB 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	0.109375	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	32.39219308565518	#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	0.00390625	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy	0.0234375	(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
accuracy	0.03515625	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
accuracy	31.01614136939666	#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	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	30.99566307293106	#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	32.02574531120929	#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 1/2 binary64) i)
accuracy	0.0703125	(/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
accuracy	16.946087956222314	(.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 204 to 30 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 29.0ms (69.9% of total)

ival-div: 7.0ms (16.9% of total)

ival-sub: 2.0ms (4.8% of total)

ival-add: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

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

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

series47.0ms (0.9%)

Memory

-26.8MiB live, 44.7MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

36.0ms

-inf

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

3.0ms

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

2.0ms

inf

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

simplify164.0ms (3%)

Memory

7.8MiB live, 196.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 596×	`lower-fma.f64`
17 596×	`lower-fma.f32`
3 618×	`lower-*.f64`
3 618×	`lower-*.f32`
1 762×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	1324
1	183	1324
2	507	1292
3	1509	1254
4	5669	1254
0	8083	1227

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))
(/ -2 i)
(/ (- (* 8 (pow i 2)) 2) i)
(/ (- (* 8 (pow i 2)) 2) i)
(/ (- (* 8 (pow i 2)) 2) i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(/ 2 i)
(/ 2 i)
(/ 2 i)
(/ 2 i)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1/4 (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))
(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) (- (* -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))
1/16
(+ 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))))))
(* 8 i)
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(/ 2 i)
(/ 2 i)
(/ 2 i)
(/ 2 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))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(pow i 2)
(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 (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))
1/16
(+ 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))))))
(* 8 i)
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(/ 2 i)
(/ 2 i)
(/ 2 i)
(/ 2 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))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(pow i 2)
(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 (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))

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 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) #s(literal -1/4 binary64))) (*.f64 i i))
(/ -2 i)
(/.f64 #s(literal -2 binary64) i)
(/ (- (* 8 (pow i 2)) 2) i)
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(/ (- (* 8 (pow i 2)) 2) i)
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(/ (- (* 8 (pow i 2)) 2) i)
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) #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 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) #s(literal -1/4 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))
(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 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) #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 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* i (- (* -1 (pow i 2)) 1/4))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(* i (- (* -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 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1/4 binary64))) (.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (fma.f64 (neg.f64 i) i (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) #s(literal -1/4 binary64))) (*.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))
1/16
#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))))
(* 8 i)
(*.f64 #s(literal 8 binary64) i)
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
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))
(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 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -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))
1/16
#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))))
(* 8 i)
(*.f64 #s(literal 8 binary64) i)
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
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))
(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 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* -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))

rewrite148.0ms (2.7%)

Memory

34.3MiB live, 260.4MiB allocated

Rules

4 504×	`lower-fma.f32`
4 502×	`lower-fma.f64`
4 262×	`lower-*.f32`
4 250×	`lower-*.f64`
4 128×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	197
0	45	169
1	203	159
2	1650	128
0	8514	126

Stop Event

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

Counts

15 → 565

Calls

Call 1

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

Outputs
(.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)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) (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 #s(literal 2 binary64) i)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (/.f64 #s(literal 2 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 -4 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 (*.f64 i i) #s(literal 4 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 -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 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (.f64 i (.f64 i #s(literal 1/2 binary64))))
(.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))) i)
(.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 (/.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 (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) (pow.f64 i #s(literal -2 binary64)))) #s(literal -1 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))) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.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 (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 4 binary64) (pow.f64 i #s(literal -2 binary64)))) #s(literal 1/4 binary64))
(.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 i (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) i) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(.f64 (.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i))))
(.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) (.f64 i i)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) (.f64 i #s(literal 1/2 binary64)))
(.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(.f64 (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64)))))
(.f64 (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(.f64 (.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) i) (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (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 4 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 i i)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) i) (.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))))
(.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 (.f64 i i) (.f64 (.f64 i i) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(.f64 i (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))))
(.f64 i (.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -2 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) i))
(pow.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal -2 binary64) i))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (neg.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)))) (*.f64 #s(literal -2 binary64) i))
(/.f64 (neg.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 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 #s(literal -4 binary64) (pow.f64 i #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i 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 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (.f64 (*.f64 i i) #s(literal 4 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))) (*.f64 #s(literal 2 binary64) i))
(/.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 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i))))
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(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))) (.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (fma.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #s(literal -1/256 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/256 binary64))) (*.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))))
(/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #s(literal -1/256 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64))) (neg.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 1/1024 binary64)) (.f64 i i)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))))))
(/.f64 (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) #s(literal -1/256 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))
(/.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 1/1024 binary64)) (.f64 i i))))
(/.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64)) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 1/1024 binary64)) (.f64 i i))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/262144 binary64) #s(literal 1/4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))))
(fma.f64 (pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) #s(literal 1/16 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (/.f64 #s(literal -1 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) i) (pow.f64 i #s(literal -1 binary64)) #s(literal 1/16 binary64))
(fma.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))))
(fma.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal -64 binary64))) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)) #s(literal 1/16 binary64))
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))))
(-.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(+.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (neg.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(.f64 (pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 1/64 binary64) i))
(*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64))
(.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (.f64 i i)))
(.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 i i) #s(literal -64 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)))
(pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i))) i)
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 #s(literal -1/64 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 i i) #s(literal -64 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -64 binary64)))
(neg.f64 (.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)))
(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)))

eval146.0ms (2.7%)

Memory: -32.5MiB live, 337.9MiB allocated
Compiler: Compiled 13 386 to 2 090 computations (84.4% saved)

prune129.0ms (2.3%)

Memory

-10.8MiB live, 269.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	848	2	850
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	850	6	856

Accuracy

100.0%

Counts

856 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.5%	(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
▶	99.9%	(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
✓	49.4%	#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)))
✓	51.5%	#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))
✓	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	50.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 49 to 40 computations (18.4% saved)

simplify139.0ms (2.5%)

Memory

23.4MiB live, 137.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
cost-diff	0	(*.f64 #s(literal 1/4 binary64) i)
cost-diff	0	(.f64 (.f64 #s(literal 1/4 binary64) i) i)
cost-diff	0	(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
cost-diff	0	#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) i)
cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))

Rules

4 284×	`lower-*.f32`
4 276×	`lower-*.f64`
3 418×	`lower-fma.f32`
3 414×	`lower-fma.f64`
1 572×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	89
0	34	87
1	62	87
2	116	85
3	175	85
4	232	79
5	343	79
6	590	79
7	1733	79
8	3303	79
9	4329	79
10	6253	79
11	7135	79
12	7409	79
13	7720	79
0	8423	79

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(*.f64 #s(literal 1/2 binary64) i)
#s(literal 1/2 binary64)
i
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
#s(literal 8 binary64)
(/.f64 #s(literal -2 binary64) i)
#s(literal -2 binary64)
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)

Outputs
(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(/.f64 (.f64 i #s(literal 1/2 binary64)) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(*.f64 #s(literal 1/2 binary64) i)
(*.f64 i #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
i
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
#s(literal 8 binary64)
(/.f64 #s(literal -2 binary64) i)
#s(literal -2 binary64)
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)

localize44.0ms (0.8%)

Memory

-0.2MiB live, 38.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 #s(literal 1/4 binary64) i) i)
accuracy	0	(*.f64 i i)
accuracy	0	(*.f64 #s(literal 1/4 binary64) i)
accuracy	17.689303920829385	(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy	0	(/.f64 #s(literal -2 binary64) i)
accuracy	0	(*.f64 #s(literal 1/2 binary64) i)
accuracy	0	#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))
accuracy	0.0703125	(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))

Samples

30.0ms

256×

valid

Compiler

Compiled 80 to 25 computations (68.8% saved)

Precisions

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

ival-mult: 11.0ms (53.1% of total)

ival-div: 6.0ms (29% of total)

ival-add: 3.0ms (14.5% of total)

exact: 1.0ms (4.8% of total)

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

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

series8.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) i) i) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/4 binary64) i) (patch (.f64 #s(literal 1/4 binary64) i) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) i) (patch (/.f64 #s(literal -2 binary64) i) #<representation binary64>) () ())
#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())

Outputs
#s(alt (* -1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4)) (taylor 0 i) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 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 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 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 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor 0 i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor 0 i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor 0 i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor 0 i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (/ -2 i) (taylor 0 i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 8 (pow i 2)) 2) i) (taylor 0 i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 8 (pow i 2)) 2) i) (taylor 0 i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 8 (pow i 2)) 2) i) (taylor 0 i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (/ -2 i) (taylor 0 i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 8 (pow i 2)) 2) i) (taylor 0 i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 8 (pow i 2)) 2) i) (taylor 0 i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 8 (pow i 2)) 2) i) (taylor 0 i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 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 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #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 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #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 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #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 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) i) i) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) i) i) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) i) i) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) i) i) #<representation binary64>) () ())) ())
#s(alt (* 1/4 i) (taylor 0 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 0 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 0 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 0 i) (#s(alt (.f64 #s(literal 1/4 binary64) i) (patch (.f64 #s(literal 1/4 binary64) i) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow i 2)) 1) (taylor 0 i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<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 (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 1/16 (taylor inf i) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 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 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 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 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor inf i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor inf i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor inf i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor inf i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 8 i) (taylor inf i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* i (- 8 (* 2 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* i (- 8 (* 2 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* i (- 8 (* 2 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 8 i) (taylor inf i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* i (- 8 (* 2 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* i (- 8 (* 2 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* i (- 8 (* 2 (/ 1 (pow i 2))))) (taylor inf i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #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 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #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 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) i) i) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) i) i) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) i) i) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor inf i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) 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>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor inf i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor inf i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<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 (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 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 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 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 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 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor -inf i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor -inf i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor -inf i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 1/2 i) (taylor -inf i) (#s(alt (.f64 #s(literal 1/2 binary64) i) (patch (.f64 #s(literal 1/2 binary64) i) #<representation binary64>) () ())) ())
#s(alt (* 8 i) (taylor -inf i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) (taylor -inf i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) (taylor -inf i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) (taylor -inf i) (#s(alt #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (patch #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 8 i) (taylor -inf i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) (taylor -inf i) (#s(alt (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (patch (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) #<representation binary64>) () ())) ())
#s(alt 1/16 (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #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 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #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 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) i) i) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) i) i) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) i) i) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor -inf i) (#s(alt (.f64 (.f64 #s(literal 1/4 binary64) i) i) (patch (.f64 (.f64 #s(literal 1/4 binary64) 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>) () ())) ())
#s(alt (* 4 (pow i 2)) (taylor -inf i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow i 2) (- 4 (/ 1 (pow i 2)))) (taylor -inf i) (#s(alt (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #<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 (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>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (+ (* 8 i) (/ -2 i)) (/ (* (* 1/4 i) i) (+ (* (* i i) 4) -1)) (* (* 1/4 i) i) (* 1/4 i) (+ (* (* i i) 4) -1) (/ -2 i) (* i i))

1.0ms

-inf

((/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (+ (* 8 i) (/ -2 i)) (/ (* (* 1/4 i) i) (+ (* (* i i) 4) -1)) (* (* 1/4 i) i) (* 1/4 i) (+ (* (* i i) 4) -1) (/ -2 i) (* i i))

1.0ms

((/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (+ (* 8 i) (/ -2 i)) (/ (* (* 1/4 i) i) (+ (* (* i i) 4) -1)) (* (* 1/4 i) i) (* 1/4 i) (+ (* (* i i) 4) -1) (/ -2 i) (* i i))

simplify171.0ms (3.1%)

Memory

-26.0MiB live, 109.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 466×	`lower-fma.f64`
11 466×	`lower-fma.f32`
4 054×	`lower-*.f64`
4 054×	`lower-*.f32`
1 506×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	728
1	135	728
2	303	726
3	695	682
4	1462	682
5	2748	682
6	5456	682
0	8176	649

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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))
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(/ -2 i)
(/ (- (* 8 (pow i 2)) 2) i)
(/ (- (* 8 (pow i 2)) 2) i)
(/ (- (* 8 (pow i 2)) 2) i)
(/ -2 i)
(/ (- (* 8 (pow i 2)) 2) i)
(/ (- (* 8 (pow i 2)) 2) i)
(/ (- (* 8 (pow i 2)) 2) i)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(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))))))
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 8 i)
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(* 8 i)
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(* i (- 8 (* 2 (/ 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))))))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 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))))
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(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))))))
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 8 i)
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(* 8 i)
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 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))))
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(pow i 2)
(pow i 2)
(pow i 2)
(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 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64))) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (neg.f64 (fma.f64 i i (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1/4 binary64))))) (.f64 i i))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(/ -2 i)
(/.f64 #s(literal -2 binary64) i)
(/ (- (* 8 (pow i 2)) 2) i)
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(/ (- (* 8 (pow i 2)) 2) i)
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(/ (- (* 8 (pow i 2)) 2) i)
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(/ -2 i)
(/.f64 #s(literal -2 binary64) i)
(/ (- (* 8 (pow i 2)) 2) i)
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(/ (- (* 8 (pow i 2)) 2) i)
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(/ (- (* 8 (pow i 2)) 2) i)
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* -1/4 (pow i 2))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64))) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (neg.f64 (fma.f64 i i (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1/4 binary64))))) (.f64 i i))
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) 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
#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))
(/ -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)
(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 #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))))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 8 i)
(*.f64 #s(literal 8 binary64) i)
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* 8 i)
(*.f64 #s(literal 8 binary64) i)
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 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))))
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) 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)
(* 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))
(/ -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)
(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 #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))))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* 8 i)
(*.f64 #s(literal 8 binary64) i)
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* 8 i)
(*.f64 #s(literal 8 binary64) i)
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 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))))
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(* 1/4 (pow i 2))
(.f64 (.f64 #s(literal 1/4 binary64) 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)
(* 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))
(/ -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)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)

rewrite265.0ms (4.8%)

Memory

8.8MiB live, 167.2MiB allocated

Rules

7 862×	`lower-fma.f32`
7 858×	`lower-fma.f64`
5 102×	`lower-*.f32`
5 094×	`lower-*.f64`
3 300×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	81
0	34	79
1	128	79
2	801	77
3	7788	77
0	8466	75

Stop Event

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

Counts

10 → 415

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(*.f64 #s(literal 1/2 binary64) i)
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) i)
(*.f64 i i)

Outputs
(.f64 (pow.f64 (.f64 #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (/.f64 #s(literal 2 binary64) i)) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (/.f64 #s(literal 2 binary64) i)) #s(literal -1/2 binary64)))
(.f64 (/.f64 i #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(.f64 (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) i)
(.f64 (/.f64 #s(literal -1 binary64) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (*.f64 #s(literal -1/2 binary64) i))
(.f64 #s(literal -1/2 binary64) (.f64 i (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))))
(.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(.f64 #s(literal -1/2 binary64) (/.f64 i (neg.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))))
(.f64 (/.f64 i #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #s(literal 1/2 binary64))
(.f64 (pow.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #s(literal -1 binary64)) (*.f64 i #s(literal 1/2 binary64)))
(.f64 (.f64 i #s(literal 1/2 binary64)) (pow.f64 #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) i) (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(.f64 (neg.f64 i) (/.f64 #s(literal 1/2 binary64) (neg.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))))
(.f64 (neg.f64 i) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(.f64 i (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))))
(.f64 i (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(.f64 #s(literal 1/2 binary64) (/.f64 i #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(pow.f64 (.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 i) (pow.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 (pow.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #s(literal -1 binary64)) (neg.f64 i)) #s(literal -2 binary64))
(/.f64 (.f64 i (/.f64 #s(literal -1 binary64) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (/.f64 #s(literal -2 binary64) i))
(/.f64 (/.f64 i #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #s(literal 2 binary64))
(/.f64 (pow.f64 #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 (.f64 i #s(literal 1/2 binary64)) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(/.f64 (.f64 #s(literal -1/2 binary64) i) (neg.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (neg.f64 i) (.f64 (neg.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 i) (.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (/.f64 #s(literal -2 binary64) i)))
(/.f64 i (.f64 (neg.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) #s(literal -2 binary64)))
(/.f64 i (.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) i))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (/.f64 #s(literal 2 binary64) i))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))))
(neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))) (/.f64 (.f64 #s(literal -1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) (/.f64 #s(literal 2 binary64) i))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 i))
(.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i #s(literal 1/2 binary64)))
(*.f64 (neg.f64 i) #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) i))
(*.f64 i #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) i)
(pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) i))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) i))
(/.f64 (neg.f64 i) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) i))
(/.f64 i #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) i))
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eval168.0ms (3.1%)

Memory: 16.7MiB live, 175.2MiB allocated
Compiler: Compiled 10 048 to 1 299 computations (87.1% saved)

prune144.0ms (2.6%)

Memory

-35.3MiB live, 209.2MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	535	0	535
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	535	6	541

Accuracy

100.0%

Counts

541 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.5%	(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	99.9%	(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
✓	49.4%	#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)))
✓	51.5%	#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))
✓	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	50.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 149 to 84 computations (43.6% saved)

regimes7.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

Calls

2 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.9%	1	`i`
99.9%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes6.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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 (-.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)))
(/.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 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))

Outputs

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

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

Calls

2 calls:

3.0ms

2.0ms

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

Results

Accuracy	Segments	Branch
100.0%	2	`i`
74.3%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

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:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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
99.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-31.3MiB live, 5.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #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
99.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
50.0%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
50.0%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch12.0ms (0.2%)

Memory

-8.0MiB live, 30.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4794527.282183749	48532493.77602948

Samples

6.0ms

96×

valid

Compiler

Compiled 112 to 86 computations (23.2% saved)

Precisions

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

ival-mult: 2.0ms (53.1% of total)

ival-div: 1.0ms (26.6% 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)

bsearch16.0ms (0.3%)

Memory

34.7MiB live, 34.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.116165934680581e-8	4.109444379023337

Samples

8.0ms

144×

valid

Compiler

Compiled 190 to 158 computations (16.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (54% of total)

ival-div: 2.0ms (36% of total)

ival-sub: 1.0ms (18% 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

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.116165934680581e-8	4.109444379023337

Compiler

Compiled 136 to 122 computations (10.3% saved)

bsearch3.0ms (0.1%)

Memory

-35.4MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.116165934680581e-8	4.109444379023337

Compiler

Compiled 100 to 104 computations (-4% saved)

simplify33.0ms (0.6%)

Memory

14.5MiB live, 58.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-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	48	292
1	62	292
2	68	292
3	72	292
4	74	292

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(if (<=.f64 i #s(literal 48000000 binary64)) (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.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 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(/.f64 (.f64 #s(literal 1/2 binary64) i) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(/.f64 (.f64 i #s(literal 1/2 binary64)) #s(approx ( (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(if (<=.f64 i #s(literal 48000000 binary64)) (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 48000000 binary64)) (/.f64 (.f64 i i) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)) #s(literal 4 binary64))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.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 #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))

soundness964.0ms (17.5%)

Memory

3.2MiB live, 515.7MiB allocated

Rules

17 596×	`lower-fma.f64`
17 596×	`lower-fma.f32`
16 840×	`lower-fma.f64`
16 840×	`lower-fma.f32`
5 018×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	1324
1	183	1324
2	507	1292
3	1509	1254
4	5669	1254
0	8083	1227
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	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×	node limit

Compiler

Compiled 165 to 86 computations (47.9% saved)

preprocess107.0ms (1.9%)

Memory: -1.7MiB live, 117.3MiB allocated
Remove: (abs i)
Compiler: Compiled 284 to 138 computations (51.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0.1%)

sample1.1s (20.9%)

explain197.0ms (3.6%)

preprocess186.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify160.0ms (2.9%)

localize25.0ms (0.5%)

series7.0ms (0.1%)

simplify164.0ms (3%)

rewrite174.0ms (3.2%)

eval133.0ms (2.4%)

prune337.0ms (6.1%)

simplify147.0ms (2.7%)

localize92.0ms (1.7%)

series47.0ms (0.9%)

simplify164.0ms (3%)

rewrite148.0ms (2.7%)

eval146.0ms (2.7%)

prune129.0ms (2.3%)

simplify139.0ms (2.5%)

localize44.0ms (0.8%)

series8.0ms (0.1%)

simplify171.0ms (3.1%)

rewrite265.0ms (4.8%)

eval168.0ms (3.1%)

prune144.0ms (2.6%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch12.0ms (0.2%)

bsearch16.0ms (0.3%)

bsearch1.0ms (0%)

bsearch3.0ms (0.1%)

simplify33.0ms (0.6%)

soundness964.0ms (17.5%)

preprocess107.0ms (1.9%)

end0.0ms (0%)

Profiling