Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

5.6MiB live, 5.6MiB 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 (15.4%)

Memory

-65.7MiB live, 1 710.7MiB allocated

Samples

821.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 664.0ms

ival-mult: 474.0ms (71.4% of total)

ival-div: 99.0ms (14.9% of total)

ival-sub: 43.0ms (6.5% of total)

ival->: 31.0ms (4.7% of total)

exact: 13.0ms (2% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain127.0ms (1.8%)

Memory

-6.2MiB live, 312.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
196	-	2	(4.0079016345932577e-81)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
68	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`i`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	68	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	104
↳	`(*.f64 i i)`	overflow	136
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	68
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	o/o	68	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	104
↳	`(*.f64 i i)`	overflow	136
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	68
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	68
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	68
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	68
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	58	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	90
↳	`(*.f64 i i)`	underflow	116
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	58
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	36	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	104
↳	`(*.f64 i i)`	overflow	136
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	32	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	90
↳	`(*.f64 i i)`	underflow	116

Confusion

	Predicted +	Predicted -
+	194	2
-	0	60

Precision

1.0

Recall

0.9897959183673469

Confusion?

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

Precision?

1.0

Recall?

0.9897959183673469

Freqs

test

number	freq
0	62
1	126
2	68

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 174 to 34 computations (80.5% saved)

Precisions

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

ival-mult: 12.0ms (56.9% of total)

ival-div: 6.0ms (28.5% of total)

ival-sub: 2.0ms (9.5% of total)

exact: 1.0ms (4.7% of total)

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

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

preprocess204.0ms (2.9%)

Memory

33.1MiB live, 185.4MiB 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 26 to 10 computations (61.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.4%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

25.4%

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

simplify144.0ms (2%)

Memory

-21.6MiB live, 180.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize25.0ms (0.3%)

Memory

4.5MiB live, 42.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.09765625	(.f64 (.f64 i i) (*.f64 i i))
accuracy	16.4821491146082	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy	43.777529831664914	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

18.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

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

ival-mult: 7.0ms (60.6% of total)

ival-div: 3.0ms (26% of total)

ival-sub: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

6 → 72

Calls

Call 1

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

Outputs
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow i 2)) (taylor 0 i) (#s(alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (patch (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow i 2)) (taylor 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))
2.0ms	i	@	0	((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (* (* i i) (* i i)) (* 2 i))

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))

2.0ms

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

simplify188.0ms (2.7%)

Memory

-20.4MiB live, 167.4MiB 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 (.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) (.f64 i i) #s(literal -1/4 binary64)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) i) i)
(* 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)
(.f64 (.f64 (*.f64 i i) i) i)
(pow i 4)
(.f64 (.f64 (*.f64 i i) i) i)
(pow i 4)
(.f64 (.f64 (*.f64 i i) i) i)
(pow i 4)
(.f64 (.f64 (*.f64 i i) i) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 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 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) (.f64 i i)) i)) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 (*.f64 i i) i) i))) #s(literal 1/16 binary64))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(pow i 4)
(.f64 (.f64 (*.f64 i i) i) i)
(pow i 4)
(.f64 (.f64 (*.f64 i i) i) i)
(pow i 4)
(.f64 (.f64 (*.f64 i i) i) i)
(pow i 4)
(.f64 (.f64 (*.f64 i i) i) i)
(* 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 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) (.f64 i i)) i)) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 (*.f64 i i) i) i))) #s(literal 1/16 binary64))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(pow i 4)
(.f64 (.f64 (*.f64 i i) i) i)
(pow i 4)
(.f64 (.f64 (*.f64 i i) i) i)
(pow i 4)
(.f64 (.f64 (*.f64 i i) i) i)
(pow i 4)
(.f64 (.f64 (*.f64 i i) i) i)
(* 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)

rewrite173.0ms (2.4%)

Memory

18.7MiB live, 213.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	66
0	17	50
1	75	44
2	653	32
0	8740	30

Stop Event

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

Counts

6 → 665

Calls

Call 1

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

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

eval136.0ms (1.9%)

Memory: 20.4MiB live, 264.8MiB allocated
Compiler: Compiled 23 415 to 1 899 computations (91.9% saved)

prune158.0ms (2.2%)

Memory

-18.0MiB live, 255.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

857 → 7

Alt Table

Click to see full alt table

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

Compiler

Compiled 132 to 84 computations (36.4% saved)

simplify162.0ms (2.3%)

Memory

-16.5MiB live, 154.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

6 732×	`lower-fma.f64`
6 732×	`lower-fma.f32`
5 190×	`lower-*.f32`
5 182×	`lower-*.f64`
3 330×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	209
0	39	193
1	84	185
2	250	161
3	1173	161
4	3819	153
5	5598	153
0	8003	149

Stop Event

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

Calls

Call 1

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

localize59.0ms (0.8%)

Memory

23.4MiB live, 60.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy	0	(*.f64 i i)
accuracy	0.1645590143526445	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	30.732501122328507	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy	0	(*.f64 i i)
accuracy	0.0234375	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
accuracy	0.0546875	(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
accuracy	33.32831120806016	#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	33.71979925315201	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
accuracy	30.494831067114372	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0	(*.f64 i i)
accuracy	0.00390625	(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
accuracy	0.11140770756382705	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
accuracy	0.20200012402234166	(/.f64 #s(literal 4 binary64) (*.f64 i i))

Samples

46.0ms

256×

valid

Compiler

Compiled 185 to 26 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 19.0ms (55.7% of total)

ival-mult: 10.0ms (29.3% of total)

ival-sub: 3.0ms (8.8% of total)

ival-add: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

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

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

series16.0ms (0.2%)

Memory

-12.8MiB live, 22.4MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

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

3.0ms

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

2.0ms

inf

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

simplify163.0ms (2.3%)

Memory

31.4MiB live, 187.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 308×	`lower-fma.f64`
18 308×	`lower-fma.f32`
3 654×	`lower-*.f64`
3 654×	`lower-*.f32`
1 942×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1328
1	163	1328
2	476	1260
3	1520	1240
4	5220	1240
5	7641	1240
0	8624	1222

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite207.0ms (2.9%)

Memory

-4.6MiB live, 183.2MiB allocated

Rules

4 954×	`lower-fma.f64`
4 954×	`lower-fma.f32`
4 738×	`lower-/.f32`
4 732×	`lower-/.f64`
4 294×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	188
0	39	164
1	171	156
2	1361	140
0	8444	132

Stop Event

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

Counts

14 → 308

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (*.f64 i i) i) i)))))
(.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))) #s(literal -1 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (neg.f64 (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) (neg.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (*.f64 i i) i))))))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i))))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64)) (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (*.f64 i i) i)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))
(.f64 (neg.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64)))))
(.f64 (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))
(.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))))
(.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))))
(.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))))
(.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))))) (.f64 (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))))) (+.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))))) (+.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal 256 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 256 binary64)) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (fma.f64 (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) (.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal 256 binary64)))))))
(/.f64 (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))) #s(literal 4096 binary64)) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 256 binary64) (.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i))))) (neg.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal 256 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))))
(/.f64 (-.f64 (.f64 #s(literal 4096 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))) (.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64)) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal 256 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (neg.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (neg.f64 (+.f64 #s(literal 256 binary64) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal 256 binary64))))
(/.f64 (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))))
(/.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))) (+.f64 #s(literal 256 binary64) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))))))
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(/.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))) (neg.f64 (+.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (.f64 i i))) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (*.f64 i i) i) i)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 1/256 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #s(literal 1/1024 binary64)) (.f64 i i))))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))) (+.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (.f64 i i))) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (*.f64 i i) i) i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #s(literal 1/1024 binary64)) (.f64 i i))) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(fma.f64 (pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (/.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))) (neg.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
(fma.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64)))) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))) (neg.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(.f64 (pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(*.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 1/64 binary64))
(.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (.f64 i i)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 i i) #s(literal 64 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 i i)))
(.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1 binary64))
(.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))
(pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 #s(literal -1/64 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64))))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 i i) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))

eval82.0ms (1.2%)

Memory: 15.4MiB live, 172.3MiB allocated
Compiler: Compiled 9 497 to 1 108 computations (88.3% saved)

prune143.0ms (2%)

Memory

-45.5MiB live, 125.5MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	555	2	557
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	556	8	564

Accuracy

100.0%

Counts

564 → 8

Alt Table

Click to see full alt table

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

Compiler

Compiled 79 to 49 computations (38% saved)

simplify398.0ms (5.6%)

Memory

-14.2MiB live, 255.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

11 718×	`lower-fma.f32`
11 710×	`lower-fma.f64`
4 674×	`lower-*.f32`
4 658×	`lower-*.f64`
3 022×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	202
0	50	196
1	117	176
2	367	166
3	1485	164
4	4310	164
5	6872	164
0	8238	160

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (1.1%)

Memory

27.0MiB live, 173.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
accuracy	0	(*.f64 i i)
accuracy	0	(.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))
accuracy	16.4821491146082	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
accuracy	0	(*.f64 i i)
accuracy	0.10775375976844202	(.f64 (.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i)
accuracy	0.12549639624249193	(/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
accuracy	15.774052565765121	(.f64 i (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))))
accuracy	0	(*.f64 (neg.f64 i) i)
accuracy	0	(neg.f64 i)
accuracy	0.05078125	(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
accuracy	33.32831120806016	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
accuracy	0.00390625	(fma.f64 i #s(literal -1/4 binary64) (.f64 (.f64 (neg.f64 i) i) i))
accuracy	0.0234375	(.f64 (fma.f64 i #s(literal -1/4 binary64) (.f64 (*.f64 (neg.f64 i) i) i)) i)
accuracy	0.0859375	(.f64 (.f64 (neg.f64 i) i) i)
accuracy	33.32831120806016	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i #s(literal -1/4 binary64) (.f64 (*.f64 (neg.f64 i) i) i)) i))

Samples

57.0ms

256×

valid

Compiler

Compiled 193 to 34 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 23.0ms (51.8% of total)

ival-add: 10.0ms (22.5% of total)

ival-div: 8.0ms (18% of total)

ival-sub: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

series17.0ms (0.2%)

Memory

12.2MiB live, 48.0MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

3.0ms

inf

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

2.0ms

-inf

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

simplify344.0ms (4.9%)

Memory

-5.8MiB live, 198.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 558×	`lower-fma.f64`
9 558×	`lower-fma.f32`
3 330×	`lower-*.f64`
3 330×	`lower-*.f32`
1 580×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	1557
1	231	1557
2	622	1521
3	1903	1496
4	5218	1496
0	8514	1442

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite191.0ms (2.7%)

Memory

-12.0MiB live, 302.1MiB allocated

Rules

7 762×	`lower-fma.f32`
7 754×	`lower-fma.f64`
4 250×	`lower-*.f32`
4 234×	`lower-*.f64`
3 826×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	182
0	50	168
1	215	153
2	1647	134
0	9592	132

Stop Event

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

Counts

17 → 1 102

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 i i) (fma.f64 (.f64 i i) (.f64 i i) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (.f64 i (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))
(.f64 (neg.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (-.f64 (.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))))
(.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i))) (/.f64 #s(literal 1 binary64) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))))
(.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (+.f64 #s(literal -1/4 binary64) (.f64 i i))))))
(.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (-.f64 (.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
(*.f64 i (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i))) #s(literal 1 binary64)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i))))
(/.f64 (.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (-.f64 (.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i))))) (.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))))) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i))))) (neg.f64 (.f64 (neg.f64 i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (.f64 (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))) (.f64 (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))))
(/.f64 (.f64 (.f64 (neg.f64 i) i) (fma.f64 (.f64 i i) (.f64 i i) #s(literal -1/16 binary64))) (neg.f64 (.f64 i (-.f64 (.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (.f64 i i) (fma.f64 (.f64 i i) (.f64 i i) #s(literal -1/16 binary64))) (.f64 i (-.f64 (.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (.f64 (neg.f64 i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))))
(/.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i))) (.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64))) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(/.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (-.f64 (.f64 (neg.f64 i) i) #s(literal -1/4 binary64))) (.f64 (.f64 i i) (fma.f64 (.f64 i i) (.f64 i i) #s(literal -1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (*.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))))
(neg.f64 (/.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i))) (.f64 (neg.f64 i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))))
(fma.f64 (pow.f64 (neg.f64 i) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 i) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/4 binary64) i))
(fma.f64 (.f64 (.f64 i i) i) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) i))
(fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 i i) i) (*.f64 #s(literal -1/4 binary64) i))
(fma.f64 (.f64 i i) (neg.f64 i) (.f64 #s(literal -1/4 binary64) i))
(fma.f64 (.f64 (neg.f64 i) i) i (.f64 #s(literal -1/4 binary64) i))
(fma.f64 (neg.f64 i) (.f64 i i) (.f64 #s(literal -1/4 binary64) i))
(fma.f64 #s(literal -1/4 binary64) i (.f64 (.f64 (neg.f64 i) i) i))
(fma.f64 i (.f64 (neg.f64 i) i) (.f64 #s(literal -1/4 binary64) i))
(fma.f64 i #s(literal -1/4 binary64) (.f64 (.f64 (neg.f64 i) i) i))
(-.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (.f64 i (-.f64 (.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(-.f64 (.f64 #s(literal -1/4 binary64) i) (.f64 (*.f64 i i) i))
(+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(+.f64 (.f64 #s(literal -1/4 binary64) i) (.f64 (*.f64 (neg.f64 i) i) i))
(+.f64 (.f64 (.f64 (neg.f64 i) i) i) (*.f64 #s(literal -1/4 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i))
(.f64 (.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i))) i) (/.f64 #s(literal 1 binary64) (.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(.f64 (.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64))) i) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))))
(.f64 (.f64 i (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (/.f64 #s(literal 1 binary64) (.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(.f64 (.f64 i (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))))
(.f64 (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i)
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 (.f64 i (.f64 (.f64 i i) (fma.f64 (.f64 i i) (.f64 i i) #s(literal -1/16 binary64)))) (.f64 i (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))
(/.f64 (.f64 i (neg.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i))))) (.f64 (neg.f64 i) (+.f64 #s(literal -1/4 binary64) (.f64 i i))))
(/.f64 (.f64 i (neg.f64 (.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 (neg.f64 i) i) i) #s(literal -1/64 binary64))))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 i i) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (-.f64 (.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (.f64 (.f64 #s(literal -1/4 binary64) i) i)) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (.f64 (.f64 (.f64 (neg.f64 i) i) i) i))) (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (.f64 (.f64 (*.f64 (neg.f64 i) i) i) i)))
(/.f64 (-.f64 (.f64 (.f64 i (.f64 #s(literal -1/4 binary64) i)) (.f64 i (.f64 #s(literal -1/4 binary64) i))) (.f64 (.f64 (.f64 (.f64 (neg.f64 i) i) i) i) (.f64 (.f64 (.f64 (neg.f64 i) i) i) i))) (-.f64 (.f64 i (.f64 #s(literal -1/4 binary64) i)) (.f64 (.f64 (*.f64 (neg.f64 i) i) i) i)))
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(fma.f64 (.f64 (.f64 #s(literal -2 binary64) i) i) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) i) (neg.f64 i) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) i) (.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) i) (.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) i) (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal -2 binary64) i) i) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 i i) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 i i) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 i i) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) (neg.f64 i) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(fma.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)))
(fma.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)))
(fma.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)))
(fma.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64)))))
(fma.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 (.f64 (.f64 i i) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 i) i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 (neg.f64 i) i) #s(literal -1 binary64))
(fma.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))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (neg.f64 (.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) i) i)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) i) i) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 i i) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 i) i) #s(literal -4 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 i) (*.f64 #s(literal -4 binary64) i) #s(literal -1 binary64))
(fma.f64 (neg.f64 i) (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(fma.f64 i (neg.f64 (*.f64 #s(literal -4 binary64) i)) #s(literal -1 binary64))
(fma.f64 i (*.f64 #s(literal -4 binary64) i) #s(literal -1 binary64))
(fma.f64 i (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(expm1.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) i) i)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i)))))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -4 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i))
(-.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) (.f64 (.f64 i i) i)) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal 4 binary64)) (.f64 i i) #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -4 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) i) i))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) i)
(.f64 (.f64 (*.f64 (neg.f64 i) i) i) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(.f64 (.f64 (neg.f64 i) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 i #s(literal -1 binary64))
(/.f64 (.f64 (.f64 i i) i) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (*.f64 i i) (neg.f64 i))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 i) i) i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 i) i)))
(/.f64 (.f64 (.f64 (neg.f64 i) i) i) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 i i) (.f64 #s(literal 0 binary64) (neg.f64 i)))))
(/.f64 (.f64 (.f64 (neg.f64 i) i) i) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 i) i) i)
(neg.f64 i)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) i)
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 #s(literal 0 binary64) i)
(+.f64 #s(literal 0 binary64) (neg.f64 i))

eval267.0ms (3.8%)

Memory: 3.9MiB live, 287.6MiB allocated
Compiler: Compiled 29 704 to 3 023 computations (89.8% saved)

prune397.0ms (5.6%)

Memory

-8.6MiB live, 308.2MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 436	2	1 438
Fresh	0	0	0
Picked	1	3	4
Done	1	3	4
Total	1 438	8	1 446

Accuracy

100.0%

Counts

1 446 → 8

Alt Table

Click to see full alt table

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

Compiler

Compiled 78 to 47 computations (39.7% saved)

simplify4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.5%)

Memory

4.1MiB live, 41.4MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

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

ival-mult: 6.0ms (52.1% of total)

ival-div: 3.0ms (26.1% of total)

ival-add: 2.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify175.0ms (2.5%)

Memory

-10.1MiB live, 147.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	599
1	159	599
2	391	594
3	1007	582
4	2604	582
5	5582	582
0	8311	555

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite331.0ms (4.7%)

Memory

15.0MiB live, 227.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 752

Calls

Call 1

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

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

eval188.0ms (2.7%)

Memory: 1.0MiB live, 223.3MiB allocated
Compiler: Compiled 31 287 to 1 921 computations (93.9% saved)

prune131.0ms (1.9%)

Memory

-12.7MiB live, 244.8MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

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

Accuracy

100.0%

Counts

900 → 8

Alt Table

Click to see full alt table

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

Compiler

Compiled 205 to 93 computations (54.6% saved)

regimes15.0ms (0.2%)

Memory

-19.0MiB live, 19.6MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms

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
99.8%	1	`i`
99.8%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
100.0%	2	`i`
78.0%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB 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 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 i #s(literal -1/4 binary64) (.f64 (*.f64 (neg.f64 i) i) i)) i))

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.3%)

Memory

-33.8MiB live, 5.4MiB 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 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))

Outputs

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
98.6%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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
98.6%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.9%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
52.4%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
52.4%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch14.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	11557685.427688666	3317464691.3493247

Samples

7.0ms

128×

valid

Compiler

Compiled 157 to 102 computations (35% saved)

Precisions

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

ival-mult: 3.0ms (60.9% of total)

ival-sub: 1.0ms (20.3% of total)

ival-div: 1.0ms (20.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch38.0ms (0.5%)

Memory

-9.9MiB live, 29.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	0.3995196587372973	11.98679526979255

Samples

33.0ms

112×

valid

Compiler

Compiled 197 to 119 computations (39.6% saved)

Precisions

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

ival-mult: 29.0ms (94.9% of total)

ival-div: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3995196587372973	11.98679526979255

Compiler

Compiled 183 to 112 computations (38.8% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3995196587372973	11.98679526979255

Compiler

Compiled 141 to 84 computations (40.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3995196587372973	11.98679526979255

Compiler

Compiled 141 to 84 computations (40.4% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3995196587372973	11.98679526979255

Compiler

Compiled 113 to 70 computations (38.1% saved)

simplify12.0ms (0.2%)

Memory

-18.1MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
20×	`+-commutative_binary64`
18×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	417
1	73	417
2	92	417
3	112	417
4	122	417
5	127	417
6	128	417

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.2s (17.5%)

Memory

43.0MiB live, 819.3MiB allocated

Rules

18 308×	`lower-fma.f64`
18 308×	`lower-fma.f32`
16 840×	`lower-fma.f64`
16 840×	`lower-fma.f32`
7 762×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	182
0	50	168
1	215	153
2	1647	134
0	9592	132
0	70	1328
1	163	1328
2	476	1260
3	1520	1240
4	5220	1240
5	7641	1240
0	8624	1222
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	29	188
0	39	164
1	171	156
2	1361	140
0	8444	132
0	10	66
0	17	50
1	75	44
2	653	32
0	8740	30

Stop Event

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

Compiler

Compiled 252 to 118 computations (53.2% saved)

preprocess48.0ms (0.7%)

Memory: 6.2MiB live, 162.0MiB allocated
Remove: (abs i)
Compiler: Compiled 322 to 120 computations (62.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample1.1s (15.4%)

explain127.0ms (1.8%)

preprocess204.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify144.0ms (2%)

localize25.0ms (0.3%)

series8.0ms (0.1%)

simplify188.0ms (2.7%)

rewrite173.0ms (2.4%)

eval136.0ms (1.9%)

prune158.0ms (2.2%)

simplify162.0ms (2.3%)

localize59.0ms (0.8%)

series16.0ms (0.2%)

simplify163.0ms (2.3%)

rewrite207.0ms (2.9%)

eval82.0ms (1.2%)

prune143.0ms (2%)

simplify398.0ms (5.6%)

localize77.0ms (1.1%)

series17.0ms (0.2%)

simplify344.0ms (4.9%)

rewrite191.0ms (2.7%)

eval267.0ms (3.8%)

prune397.0ms (5.6%)

simplify4.0ms (0.1%)

localize37.0ms (0.5%)

series4.0ms (0.1%)

simplify175.0ms (2.5%)

rewrite331.0ms (4.7%)

eval188.0ms (2.7%)

prune131.0ms (1.9%)

regimes15.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes19.0ms (0.3%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch14.0ms (0.2%)

bsearch38.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify12.0ms (0.2%)

soundness1.2s (17.5%)

preprocess48.0ms (0.7%)

end0.0ms (0%)

Profiling