Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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)

sample967.0ms (12.7%)

Memory

21.1MiB live, 1 356.3MiB allocated

Samples

612.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 461.0ms

ival-mult: 222.0ms (48.1% of total)

ival-div: 122.0ms (26.5% of total)

ival-sub: 75.0ms (16.3% of total)

ival->: 25.0ms (5.4% of total)

exact: 14.0ms (3% of total)

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

Bogosity

explain233.0ms (3.1%)

Memory

-15.6MiB live, 179.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	66	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	103
↳	`(*.f64 i i)`	underflow	132
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	66
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	66	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	90
↳	`(*.f64 i i)`	overflow	132
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	66
`/.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	66	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	90
↳	`(*.f64 i i)`	overflow	132
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	66
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	66
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	66
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	66
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	36	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	103
↳	`(*.f64 i i)`	underflow	132
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	24	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	90
↳	`(*.f64 i i)`	overflow	132

Confusion

	Predicted +	Predicted -
+	192	0
-	0	64

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	192	0	0
-	0	0	64

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	64
1	126
2	66

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 174 to 34 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 42.0ms (82.6% of total)

ival-div: 6.0ms (11.8% of total)

ival-sub: 2.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess409.0ms (5.4%)

Memory

5.9MiB live, 178.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs i)

Compiler

Compiled 26 to 10 computations (61.5% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.4%	(/.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

▶

26.4%

(/.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)

simplify612.0ms (8%)

Memory

-0.4MiB live, 242.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize69.0ms (0.9%)

Memory

-18.0MiB live, 59.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.12337875976844201	(.f64 (.f64 i i) (*.f64 i i))
accuracy	15.997724692119728	(/.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	43.330712430044706	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

35.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 23.0ms (82.8% of total)

ival-div: 3.0ms (10.8% of total)

ival-sub: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify381.0ms (5%)

Memory

-5.2MiB live, 322.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite232.0ms (3%)

Memory

19.5MiB live, 371.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 665

Calls

Call 1

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

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

eval93.0ms (1.2%)

Memory: -17.3MiB live, 188.1MiB allocated
Compiler: Compiled 23 419 to 1 900 computations (91.9% saved)

prune112.0ms (1.5%)

Memory

-2.0MiB live, 274.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

857 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(/.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
	74.9%	(.f64 (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
▶	48.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
▶	52.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
▶	52.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
▶	48.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 138 to 92 computations (33.3% saved)

simplify236.0ms (3.1%)

Memory

26.0MiB live, 332.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

6 822×	`lower-fma.f64`
6 822×	`lower-fma.f32`
5 234×	`lower-*.f32`
5 224×	`lower-*.f64`
3 330×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	209
0	41	193
1	86	185
2	253	161
3	1173	161
4	3808	153
5	5591	153
6	7998	153
0	8017	149

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (1.1%)

Memory

-43.0MiB live, 132.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
accuracy	0	(*.f64 i i)
accuracy	0.35360478831340086	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	33.22059034243215	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
accuracy	0.00390625	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy	0.02734375	(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
accuracy	0.046875	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
accuracy	30.270969032980297	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
accuracy	0	(.f64 i (.f64 i #s(literal -1/4 binary64)))
accuracy	0	(*.f64 i #s(literal -1/4 binary64))
accuracy	30.422950631477413	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
accuracy	32.91952810931529	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0	(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
accuracy	0	(*.f64 i i)
accuracy	0.2502906776657111	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
accuracy	0.44027375706911254	(/.f64 #s(literal 4 binary64) (*.f64 i i))

Samples

53.0ms

256×

valid

Compiler

Compiled 185 to 27 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 18.0ms (44% of total)

ival-add: 10.0ms (24.5% of total)

ival-div: 7.0ms (17.1% of total)

ival-sub: 4.0ms (9.8% of total)

exact: 1.0ms (2.4% of total)

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

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

series11.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

simplify304.0ms (4%)

Memory

17.9MiB live, 366.2MiB 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	1364
1	163	1364
2	476	1296
3	1522	1276
4	5180	1276
5	7590	1276
0	8579	1258

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite274.0ms (3.6%)

Memory

-12.3MiB live, 337.4MiB allocated

Rules

5 050×	`lower-fma.f64`
5 050×	`lower-fma.f32`
4 606×	`lower-/.f32`
4 600×	`lower-/.f64`
4 206×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	191
0	41	167
1	174	159
2	1363	143
0	8634	135

Stop Event

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

Counts

15 → 471

Calls

Call 1

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

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

eval82.0ms (1.1%)

Memory: 16.0MiB live, 170.0MiB allocated
Compiler: Compiled 12 159 to 1 399 computations (88.5% saved)

prune101.0ms (1.3%)

Memory

-11.3MiB live, 218.1MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	712	1	713
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	712	8	720

Accuracy

100.0%

Counts

720 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.0%	(/.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
✓	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	74.9%	(.f64 (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
▶	52.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i))))))
✓	48.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
✓	52.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
✓	52.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
✓	48.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 84 to 53 computations (36.9% saved)

simplify238.0ms (3.1%)

Memory

20.1MiB live, 372.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 (.f64 i i) #s(literal 1/4 binary64))
cost-diff	0	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
cost-diff	1088	(/.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
cost-diff	0	(*.f64 i #s(literal 4 binary64))
cost-diff	0	(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	320	(.f64 (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
cost-diff	0	(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
cost-diff	0	(*.f64 i i)
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i))))))
cost-diff	640	(fma.f64 (.f64 i i) #s(literal -1/4 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))

Rules

8 946×	`lower-fma.f32`
8 938×	`lower-fma.f64`
5 054×	`lower-*.f32`
5 040×	`lower-*.f64`
2 512×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	159
0	48	154
1	108	137
2	326	125
3	1319	125
4	3981	122
5	6458	122
0	8501	119

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1%)

Memory

10.4MiB live, 168.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 i i) #s(literal 1/4 binary64))
accuracy	0	(*.f64 i i)
accuracy	0.00390625	(/.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
accuracy	15.300089402032336	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
accuracy	0	(*.f64 i #s(literal 4 binary64))
accuracy	0	(*.f64 i #s(literal 1/4 binary64))
accuracy	0.09765625	(.f64 (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
accuracy	15.302663409907353	(/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0	(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
accuracy	0.078125	(.f64 i (.f64 i i))
accuracy	0.08203125	(.f64 i (.f64 i (*.f64 i i)))
accuracy	30.270969032980297	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i))))))

Samples

46.0ms

256×

valid

Compiler

Compiled 156 to 33 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 18.0ms (55.5% of total)

ival-div: 7.0ms (21.6% of total)

ival-add: 4.0ms (12.3% of total)

ival-sub: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

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

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

series12.0ms (0.2%)

Memory

-14.3MiB live, 24.2MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	i	@	-inf	(/ i (+ (* i (* i 4)) -1))
0.0ms	i	@	-inf	(* i (* i i))
0.0ms	i	@	-inf	(* i 4)
0.0ms	i	@	0	(* i (* i i))
0.0ms	i	@	-inf	(/ (* (* i i) 1/4) (+ (* i 2) -1))

simplify226.0ms (3%)

Memory

10.7MiB live, 259.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 516×	`lower-fma.f64`
8 516×	`lower-fma.f32`
3 356×	`lower-*.f64`
3 356×	`lower-*.f32`
2 144×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	1156
1	342	1156
2	838	1116
3	2160	1101
4	5053	1101
0	8092	1067

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) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 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))
1/16
(+ 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 i)
(* i (- (* -4 (pow i 2)) 1))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
(/ 1/4 i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(/ 1/4 i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* 4 i)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1/2 i) 1/4))
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4))
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4))
(* 1/8 i)
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))))
(* 1/8 i)
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8)))
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8)))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)
(* 1/4 i)

Outputs
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (.f64 i i) (fma.f64 i (.f64 i (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (.f64 i i) (fma.f64 i (.f64 i (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))))
(* -1 i)
(neg.f64 i)
(* i (- (* -4 (pow i 2)) 1))
(.f64 i (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(.f64 i (fma.f64 i (.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
(.f64 i (fma.f64 (.f64 i i) (fma.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal -64 binary64) #s(literal -16 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 i i)) (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (.f64 i i)))))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 i i))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 6 binary64))))) i)
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 i i))) i)
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 i i))) (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1/256 binary64) (.f64 i i))) (.f64 i (.f64 i (*.f64 i i))))) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(.f64 i (.f64 i #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(.f64 i (.f64 i #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* 4 i)
(*.f64 i #s(literal 4 binary64))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (.f64 i (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (.f64 i i) (fma.f64 i (.f64 i (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 i (.f64 i (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i (.f64 i (.f64 i i)))))))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1/2 i) 1/4))
(.f64 i (.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4))
(.f64 i (.f64 i (fma.f64 i (-.f64 #s(literal -1/2 binary64) i) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4))
(.f64 (.f64 i i) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1/4 binary64)))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(fma.f64 i #s(literal 1/8 binary64) #s(literal 1/16 binary64))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))))
(fma.f64 i #s(literal 1/8 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))))
(fma.f64 i #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (fma.f64 i #s(literal 1/32 binary64) #s(literal 1/64 binary64)) #s(literal 1/16 binary64)))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(fma.f64 i #s(literal 1/8 binary64) #s(literal 1/16 binary64))
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8)))
(fma.f64 i #s(literal 1/8 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)))
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8)))
(fma.f64 i #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (fma.f64 i #s(literal 1/32 binary64) #s(literal 1/64 binary64)) #s(literal 1/16 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(pow i 3)
(.f64 i (.f64 i i))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))
(* 1/4 i)
(*.f64 i #s(literal 1/4 binary64))

rewrite265.0ms (3.5%)

Memory

-12.4MiB live, 383.8MiB allocated

Rules

8 274×	`lower-fma.f32`
8 266×	`lower-fma.f64`
3 788×	`lower-*.f32`
3 774×	`lower-*.f64`
3 728×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	137
0	48	132
1	209	115
2	1673	103
0	8633	103

Stop Event

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

Counts

14 → 776

Calls

Call 1

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

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

eval226.0ms (3%)

Memory: -4.1MiB live, 276.6MiB allocated
Compiler: Compiled 22 979 to 2 136 computations (90.7% saved)

prune342.0ms (4.5%)

Memory

23.1MiB live, 256.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	993	1	994
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	994	8	1 002

Accuracy

100.0%

Counts

1 002 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(/.f64 (.f64 i #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) i))
✓	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	74.9%	(.f64 (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
✓	52.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i))))))
✓	48.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
✓	52.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
✓	52.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
✓	48.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 81 to 51 computations (37% saved)

simplify5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) i)
cost-diff	0	(*.f64 i #s(literal 1/4 binary64))
cost-diff	384	(/.f64 (.f64 i #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) i))

Rules

54×	`lower-*.f32`
50×	`lower-*.f64`
18×	`*-commutative`
18×	`lower-/.f32`
14×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	15	36
1	24	36
2	38	36
3	47	36
4	53	36
0	53	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.5%)

Memory

13.7MiB live, 49.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 i i)
accuracy	0	(*.f64 i #s(literal 1/4 binary64))
accuracy	0.0546875	(/.f64 (.f64 i #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) i))
accuracy	15.265385277959297	(/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) i)

Samples

30.0ms

256×

valid

Compiler

Compiled 41 to 12 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (42.3% of total)

ival-div: 3.0ms (31.7% of total)

ival-add: 1.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

simplify245.0ms (3.2%)

Memory

-4.5MiB live, 274.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 406×	`lower-fma.f64`
12 406×	`lower-fma.f32`
4 048×	`lower-*.f64`
4 048×	`lower-*.f32`
1 992×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	371
1	112	371
2	256	370
3	596	348
4	1206	348
5	2640	348
6	5835	348
0	8294	327

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite499.0ms (6.5%)

Memory

-10.7MiB live, 417.6MiB allocated

Rules

5 518×	`lower-/.f32`
5 514×	`lower-/.f64`
3 790×	`lower-*.f32`
3 786×	`lower-*.f64`
3 148×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	15	32
1	54	32
2	346	32
3	3469	32
0	9504	32

Stop Event

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

Counts

5 → 574

Calls

Call 1

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

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

eval352.0ms (4.6%)

Memory: -116.0MiB live, 209.3MiB allocated
Compiler: Compiled 19 464 to 1 994 computations (89.8% saved)

prune107.0ms (1.4%)

Memory

16.8MiB live, 293.2MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	634	0	634
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	634	8	642

Accuracy

100.0%

Counts

642 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.9%	(/.f64 (.f64 i #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) i))
✓	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	74.9%	(.f64 (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
✓	52.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 i i) #s(literal -1/4 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i))))))
✓	48.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
✓	52.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
✓	52.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
✓	48.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 195 to 95 computations (51.3% saved)

regimes9.0ms (0.1%)

Memory

-16.7MiB live, 21.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms

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
99.6%	1	`i`
99.6%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`i`
74.5%	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)

regimes2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Memory

-28.8MiB live, 8.5MiB 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:

3.0ms

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
48.6%	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)))`
48.6%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch21.0ms (0.3%)

Memory

0.5MiB live, 39.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.12575394736893902	488396.83984452096

Samples

14.0ms

144×

valid

Compiler

Compiled 227 to 140 computations (38.3% saved)

Precisions

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

ival-mult: 9.0ms (81.3% of total)

ival-div: 2.0ms (18.1% of total)

ival-sub: 1.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.12575394736893902	488396.83984452096

Compiler

Compiled 173 to 104 computations (39.9% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.12575394736893902	488396.83984452096

Compiler

Compiled 137 to 86 computations (37.2% saved)

simplify8.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	236
1	50	236
2	63	236
3	71	236
4	76	236
5	77	236

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness699.0ms (9.2%)

Memory

-23.6MiB live, 348.3MiB allocated

Rules

15 408×	`lower-fma.f64`
15 408×	`lower-fma.f32`
5 018×	`lower-*.f32`
5 010×	`lower-*.f64`
4 240×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1045	396
5	2097	396
6	4072	396
7	6268	396
0	8056	384
0	10	66
0	17	50
1	75	44
2	653	32
0	8740	30

Stop Event

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

Compiler

Compiled 128 to 61 computations (52.3% saved)

preprocess32.0ms (0.4%)

Memory: 14.4MiB live, 89.4MiB allocated
Remove: (abs i)
Compiler: Compiled 196 to 82 computations (58.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample967.0ms (12.7%)

explain233.0ms (3.1%)

preprocess409.0ms (5.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify612.0ms (8%)

localize69.0ms (0.9%)

series6.0ms (0.1%)

simplify381.0ms (5%)

rewrite232.0ms (3%)

eval93.0ms (1.2%)

prune112.0ms (1.5%)

simplify236.0ms (3.1%)

localize80.0ms (1.1%)

series11.0ms (0.1%)

simplify304.0ms (4%)

rewrite274.0ms (3.6%)

eval82.0ms (1.1%)

prune101.0ms (1.3%)

simplify238.0ms (3.1%)

localize76.0ms (1%)

series12.0ms (0.2%)

simplify226.0ms (3%)

rewrite265.0ms (3.5%)

eval226.0ms (3%)

prune342.0ms (4.5%)

simplify5.0ms (0.1%)

localize39.0ms (0.5%)

series3.0ms (0%)

simplify245.0ms (3.2%)

rewrite499.0ms (6.5%)

eval352.0ms (4.6%)

prune107.0ms (1.4%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch21.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify8.0ms (0.1%)

soundness699.0ms (9.2%)

preprocess32.0ms (0.4%)

end0.0ms (0%)

Profiling