Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze4.0ms (0%)

Memory

-33.2MiB live, 9.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.7s (21%)

Memory

-12.4MiB live, 997.8MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 555.0ms (52.7% of total)

ival->: 228.0ms (21.7% of total)

ival-div: 215.0ms (20.4% of total)

ival-sub: 37.0ms (3.5% of total)

exact: 14.0ms (1.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain140.0ms (1.7%)

Memory

35.9MiB live, 392.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
190	-	1	(6.353409729063407e-81)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
55	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`i`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	74	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	108
↳	`(*.f64 i i)`	underflow	150
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	74
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	55	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	82
↳	`(*.f64 i i)`	overflow	110
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	55
`/.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	55	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	82
↳	`(*.f64 i i)`	overflow	110
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	55
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	55
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	55
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	55
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	33	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	108
↳	`(*.f64 i i)`	underflow	150
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	27	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	82
↳	`(*.f64 i i)`	overflow	110

Confusion

	Predicted +	Predicted -
+	189	1
-	0	66

Precision

1.0

Recall

0.9947368421052631

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	189	0	1
-	0	0	66

Precision?

1.0

Recall?

0.9947368421052631

Freqs

test

number	freq
0	67
1	134
2	55

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 174 to 34 computations (80.5% saved)

Precisions

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

ival-mult: 14.0ms (60.1% of total)

ival-div: 6.0ms (25.8% of total)

ival-sub: 2.0ms (8.6% of total)

exact: 1.0ms (4.3% of total)

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

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

preprocess315.0ms (3.9%)

Memory

-12.2MiB live, 255.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 602×	`lower-fma.f64`
3 602×	`lower-fma.f32`
2 547×	`lower-*.f32`
2 543×	`lower-*.f64`
1 582×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs i)

Compiler

Compiled 26 to 10 computations (61.5% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.2%	(/.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)))

Status

Accuracy

Program

▶

27.2%

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

simplify255.0ms (3.2%)

Memory

-7.7MiB live, 273.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

3 602×	`lower-fma.f64`
3 602×	`lower-fma.f32`
2 547×	`lower-*.f32`
2 543×	`lower-*.f64`
1 582×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize30.0ms (0.4%)

Memory

-2.8MiB live, 75.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.13119125976844204	(.f64 (.f64 i i) (*.f64 i i))
accuracy	13.325577868433106	(/.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	43.354813948401016	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

18.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

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

ival-mult: 6.0ms (53.4% of total)

ival-div: 3.0ms (26.7% of total)

ival-sub: 2.0ms (17.8% 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

19.7MiB live, 19.6MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify534.0ms (6.6%)

Memory

-26.5MiB live, 264.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 704×	`lower-fma.f64`
7 704×	`lower-fma.f32`
1 937×	`lower-*.f64`
1 937×	`lower-*.f32`
814×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite154.0ms (1.9%)

Memory

32.0MiB live, 312.5MiB allocated

Rules

2 509×	`lower-*.f32`
2 505×	`lower-*.f64`
2 120×	`lower-/.f32`
2 118×	`lower-/.f64`
1 989×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 665

Calls

Call 1

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

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

eval120.0ms (1.5%)

Memory: 4.7MiB live, 195.1MiB allocated
Compiler: Compiled 23 415 to 1 902 computations (91.9% saved)

prune148.0ms (1.8%)

Memory

11.4MiB live, 246.7MiB 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
	78.5%	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
	79.0%	(/.f64 (.f64 #s(literal 1/2 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
▶	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	44.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶	56.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
▶	56.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
▶	44.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 136 to 90 computations (33.8% saved)

simplify178.0ms (2.2%)

Memory

-10.0MiB live, 215.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

4 657×	`lower-fma.f32`
4 656×	`lower-fma.f64`
2 573×	`lower-*.f32`
2 569×	`lower-*.f64`
1 395×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (1.1%)

Memory

-19.1MiB live, 127.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 i i)
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy	0.5853471609064635	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	35.63857830785102	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy	0	(neg.f64 i)
accuracy	0.03515625	(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy	0.05078125	(.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy	28.02718949815927	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
accuracy	0	(*.f64 i i)
accuracy	0	(.f64 #s(literal -1/4 binary64) (.f64 i i))
accuracy	28.114573744054287	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
accuracy	35.48040460101291	#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	0.08203125	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
accuracy	0.7103471596766155	(/.f64 #s(literal 4 binary64) (*.f64 i i))

Samples

38.0ms

256×

valid

Compiler

Compiled 185 to 28 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 11.0ms (44.1% of total)

ival-div: 8.0ms (32% of total)

ival-sub: 2.0ms (8% of total)

ival-add: 2.0ms (8% of total)

exact: 1.0ms (4% of total)

ival-neg: 1.0ms (4% of total)

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

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

series10.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

simplify168.0ms (2.1%)

Memory

2.9MiB live, 224.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 114×	`lower-fma.f64`
8 114×	`lower-fma.f32`
1 847×	`lower-*.f64`
1 847×	`lower-*.f32`
875×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite187.0ms (2.3%)

Memory

11.9MiB live, 315.7MiB allocated

Rules

2 498×	`lower-fma.f32`
2 497×	`lower-fma.f64`
2 391×	`lower-/.f32`
2 388×	`lower-/.f64`
2 129×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

15 → 346

Calls

Call 1

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

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

eval91.0ms (1.1%)

Memory: -2.7MiB live, 169.3MiB allocated
Compiler: Compiled 9 750 to 1 161 computations (88.1% saved)

prune70.0ms (0.9%)

Memory

-17.0MiB live, 139.5MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	579	1	580
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	580	7	587

Accuracy

100.0%

Counts

587 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.5%	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	90.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)) i)))
✓	44.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	56.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓	56.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	44.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 67 to 44 computations (34.3% saved)

simplify83.0ms (1%)

Memory

31.2MiB live, 108.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
cost-diff	0	(*.f64 i i)
cost-diff	0	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
cost-diff	320	(.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 4 binary64) (.f64 (.f64 i i) i))
cost-diff	0	(-.f64 #s(literal 16 binary64) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)) i))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)) i)))
cost-diff	640	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)) i)

Rules

1 089×	`lower-*.f32`
1 084×	`lower-*.f64`
910×	`lower-fma.f32`
909×	`lower-fma.f64`
872×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	87
0	26	87
1	57	75
2	119	69
3	257	69
4	581	69
5	1352	69
6	2249	69
7	2965	69
8	4338	69
9	7564	69
0	8144	67

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

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

localize55.0ms (0.7%)

Memory

-9.0MiB live, 96.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 i i)
accuracy	0	(.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
accuracy	0	(*.f64 #s(literal 4 binary64) i)
accuracy	13.325577868433106	(/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
accuracy	0.06640625	(.f64 (.f64 i i) i)
accuracy	0.08203125	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)) i)))
accuracy	0.15586349778341121	(/.f64 #s(literal 4 binary64) (.f64 (.f64 i i) i))
accuracy	10.696625453307291	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)) i)

Samples

26.0ms

256×

valid

Compiler

Compiled 92 to 18 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (54.5% of total)

ival-div: 5.0ms (30.3% of total)

ival-sub: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 i i) i)) i) (patch (.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 i i) i)) i) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 i i) i)) i))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 i i) i)) i))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 16 binary64) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 i i) i)) i)) (patch (-.f64 #s(literal 16 binary64) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 i i) i)) i)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (.f64 (.f64 i i) i)) (patch (/.f64 #s(literal 4 binary64) (.f64 (.f64 i i) i)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (patch (.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))) (patch (/.f64 (.f64 i i) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 i i) (patch (.f64 i i) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (patch (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 i i) i) (patch (.f64 (.f64 i i) i) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) i) (patch (.f64 #s(literal 4 binary64) i) #<representation binary64>) () ())

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

Calls

30 calls:

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

simplify240.0ms (3%)

Memory

-30.2MiB live, 219.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 183×	`lower-fma.f64`
5 183×	`lower-fma.f32`
1 907×	`lower-*.f64`
1 907×	`lower-*.f32`
864×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	752
1	120	752
2	283	714
3	662	706
4	1445	706
5	2973	706
6	6504	706
0	8247	682

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite256.0ms (3.2%)

Memory

18.0MiB live, 256.2MiB allocated

Rules

2 557×	`lower-fma.f32`
2 556×	`lower-fma.f64`
2 196×	`lower-*.f32`
2 191×	`lower-*.f64`
1 673×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	77
0	26	67
1	108	65
2	667	59
3	7810	59
0	8724	55

Stop Event

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

Counts

10 → 588

Calls

Call 1

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

Outputs
(.f64 (/.f64 i (.f64 (neg.f64 i) (*.f64 i i))) #s(literal -4 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 i) i)) #s(literal -4 binary64))
(.f64 (/.f64 i #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)))
(.f64 (/.f64 i (neg.f64 i)) (/.f64 #s(literal -4 binary64) (.f64 i i)))
(.f64 (/.f64 i (.f64 (neg.f64 i) i)) (/.f64 #s(literal -4 binary64) i))
(*.f64 (/.f64 i (pow.f64 i #s(literal 3/2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3/2 binary64))) (/.f64 i (pow.f64 i #s(literal 3/2 binary64))))
(.f64 (/.f64 #s(literal -4 binary64) i) (/.f64 i (.f64 (neg.f64 i) i)))
(.f64 (/.f64 i #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) i)))
(.f64 (neg.f64 (neg.f64 i)) (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)))
(.f64 (.f64 (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 i i) i)))
(*.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 #s(literal 1 binary64) i))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) (/.f64 i (*.f64 #s(literal 1/4 binary64) i)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (/.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 4 binary64) i))
(.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (/.f64 i (neg.f64 i)))
(.f64 (.f64 #s(literal -4 binary64) i) (/.f64 #s(literal -1 binary64) (.f64 (.f64 i i) i)))
(.f64 (neg.f64 i) (/.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) i)))
(.f64 (/.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) i)) (neg.f64 i))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 i i) i)) (/.f64 i #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) i)) (.f64 i #s(literal 4 binary64)))
(.f64 #s(literal -4 binary64) (/.f64 i (.f64 (neg.f64 i) (*.f64 i i))))
(.f64 #s(literal -4 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 i i) i)) i))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 i) i)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))
(.f64 (.f64 i #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) i)) #s(literal 1 binary64)))
(.f64 (.f64 i #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) i)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (*.f64 (/.f64 #s(literal 1 binary64) i) i))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)) (/.f64 i #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)) (neg.f64 (neg.f64 i)))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)) i)
(.f64 i (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)) #s(literal 1 binary64)))
(.f64 i (/.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) i)))
(.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 1 binary64)))
(.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i)))
(pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 #s(literal -4 binary64) i) #s(literal -1 binary64)) (.f64 (*.f64 i i) i))
(/.f64 (/.f64 (.f64 #s(literal -4 binary64) i) (.f64 i i)) (neg.f64 i))
(/.f64 (/.f64 (.f64 #s(literal -4 binary64) i) i) (.f64 (neg.f64 i) i))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 4 binary64)) i)
(/.f64 (/.f64 #s(literal -4 binary64) i) (neg.f64 i))
(/.f64 (/.f64 (*.f64 i #s(literal 4 binary64)) (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -4 binary64) i)) (.f64 (*.f64 i i) i))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) i)) (neg.f64 i))
(/.f64 (.f64 i (/.f64 #s(literal -4 binary64) (.f64 i i))) (neg.f64 i))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) i) i) (.f64 i i))
(/.f64 (.f64 (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 i i) i))
(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal 4 binary64) i) i)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -4 binary64) i) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 i) (.f64 i i))))
(/.f64 (.f64 #s(literal -4 binary64) i) (.f64 (neg.f64 i) (*.f64 i i)))
(/.f64 (neg.f64 i) (.f64 (.f64 (*.f64 i i) i) #s(literal -1/4 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(/.f64 (.f64 i #s(literal 4 binary64)) (.f64 (*.f64 i i) i))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(/.f64 i (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 i i) i)))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (-.f64 #s(literal 65536 binary64) (.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i))))) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) #s(literal 256 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (-.f64 #s(literal 16777216 binary64) (.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)))))) (fma.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (*.f64 i i) i) i)) #s(literal 256 binary64)) #s(literal 65536 binary64)))
(.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 #s(literal 16777216 binary64) (.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)))))) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (*.f64 i i))) #s(literal 4096 binary64)))
(.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 #s(literal 68719476736 binary64) (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 9 binary64)))) (fma.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i))) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i))) #s(literal 4096 binary64)) #s(literal 16777216 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)))))) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i))))) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (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 -256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i))))) (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)) #s(literal 256 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 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -256 binary64) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (*.f64 i i) i) i)))))
(.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)) #s(literal 256 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.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 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))) #s(literal -1 binary64))
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(/.f64 (fma.f64 (.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i))) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i))) (.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) i) (.f64 i i)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i))) (.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 i i)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) (.f64 (neg.f64 i) (*.f64 i i))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) i #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) i) (.f64 i i) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) i #s(literal -1 binary64)) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) i) (.f64 i i) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 i #s(literal 4 binary64)) i)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) i) (fma.f64 (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 i i) i)) i) (.f64 i i) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) i) i) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) i) (fma.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) i #s(literal -1 binary64))) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) i) (/.f64 (.f64 i #s(literal 4 binary64)) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) (/.f64 i (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -4 binary64) i) (neg.f64 i) #s(literal -1 binary64))
(fma.f64 (neg.f64 i) (*.f64 #s(literal -4 binary64) i) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) (/.f64 (.f64 i i) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) i) i) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) i) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 #s(literal -4 binary64) (*.f64 (neg.f64 i) i) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) (/.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -4 binary64) i) i) #s(literal -1 binary64))
(fma.f64 (.f64 i #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) i) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 (*.f64 i #s(literal 4 binary64)) (neg.f64 (neg.f64 i)) #s(literal -1 binary64))
(fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))
(fma.f64 #s(literal 16 binary64) (/.f64 (.f64 (.f64 (.f64 i i) i) i) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 i #s(literal 4 binary64)) i) #s(literal -1 binary64))
(fma.f64 (.f64 i i) (/.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 i (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 i (neg.f64 (*.f64 #s(literal -4 binary64) i)) #s(literal -1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) i) i) (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 i #s(literal 4 binary64)) i))) (/.f64 (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) i) (-.f64 #s(literal -1 binary64) (.f64 (.f64 i #s(literal 4 binary64)) i))))
(-.f64 (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) (/.f64 i (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64))))
(-.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) i) (/.f64 i (fma.f64 (.f64 i #s(literal 4 binary64)) i #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 i #s(literal 4 binary64)) i) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i #s(literal 4 binary64)) i))
(.f64 (neg.f64 (neg.f64 i)) (.f64 i i))
(*.f64 (pow.f64 i #s(literal 3/2 binary64)) (/.f64 (pow.f64 i #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) i))
(.f64 (.f64 (neg.f64 i) i) (neg.f64 i))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 i) (*.f64 i i)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 i i) i))
(.f64 (.f64 (*.f64 i i) i) #s(literal 1 binary64))
(.f64 (.f64 i i) (/.f64 i #s(literal 1 binary64)))
(.f64 (.f64 i i) (neg.f64 (neg.f64 i)))
(.f64 (.f64 i i) i)
(.f64 i (/.f64 (.f64 i i) #s(literal 1 binary64)))
(.f64 i (.f64 i i))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 3 binary64))
(pow.f64 (pow.f64 i #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 3/2 binary64))
(pow.f64 i #s(literal 3 binary64))
(/.f64 (.f64 (neg.f64 i) (.f64 i i)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) i)))
(/.f64 (.f64 (.f64 i i) i) #s(literal 1 binary64))
(neg.f64 (.f64 (neg.f64 i) (.f64 i i)))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 i) (.f64 i i)))
(exp.f64 (*.f64 (log.f64 i) #s(literal 3 binary64)))
(*.f64 i #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) i)

eval291.0ms (3.6%)

Memory: -15.1MiB live, 102.9MiB allocated
Compiler: Compiled 17 162 to 1 886 computations (89% saved)

prune135.0ms (1.7%)

Memory

18.8MiB live, 140.4MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	732	2	734
Fresh	0	0	0
Picked	2	0	2
Done	1	4	5
Total	735	6	741

Accuracy

100.0%

Counts

741 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.5%	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
▶	79.0%	(/.f64 i (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) i))
✓	44.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	56.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓	56.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	44.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 52 to 31 computations (40.4% saved)

simplify4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
cost-diff	0	(*.f64 i i)
cost-diff	0	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) i)
cost-diff	384	(/.f64 i (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) i))

Rules

9×	`lower-*.f32`
8×	`lower-*.f64`
4×	`*-commutative`
4×	`lower-/.f32`
4×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	52
0	17	52
1	30	52
2	32	52
0	32	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (0.8%)

Memory

14.4MiB live, 51.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
accuracy	0	(*.f64 i i)
accuracy	13.325577868433106	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
accuracy	0	(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
accuracy	0	(*.f64 i i)
accuracy	0.07421875	(/.f64 i (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) i))
accuracy	12.886651003584568	(/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) i)

Samples

55.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 39.0ms (82.7% of total)

ival-div: 5.0ms (10.6% of total)

ival-add: 2.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.4%)

Memory

-29.7MiB live, 6.1MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
32.0ms	i	@	-inf	(+ (* (* i i) 16) -4)
0.0ms	i	@	inf	(/ (+ (* 16 (* i i)) -4) i)
0.0ms	i	@	0	(/ (+ (* 16 (* i i)) -4) i)
0.0ms	i	@	-inf	(/ (+ (* 16 (* i i)) -4) i)
0.0ms	i	@	0	(/ i (/ (+ (* 16 (* i i)) -4) i))

simplify399.0ms (4.9%)

Memory

0.1MiB live, 122.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 585×	`lower-fma.f64`
5 585×	`lower-fma.f32`
2 042×	`lower-*.f64`
2 042×	`lower-*.f32`
829×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	544
1	118	544
2	271	542
3	666	516
4	1529	516
5	2650	516
6	5556	516
0	8069	483

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite377.0ms (4.7%)

Memory

7.7MiB live, 285.0MiB allocated

Rules

2 469×	`lower-/.f32`
2 466×	`lower-/.f64`
1 894×	`lower-*.f32`
1 893×	`lower-*.f64`
1 474×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	17	43
1	81	43
2	376	43
3	3182	43
0	8739	43

Stop Event

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

Counts

6 → 913

Calls

Call 1

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

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

eval211.0ms (2.6%)

Memory: 47.3MiB live, 261.7MiB allocated
Compiler: Compiled 33 280 to 2 378 computations (92.9% saved)

prune446.0ms (5.5%)

Memory

-136.7MiB live, 261.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 050	1	1 051
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	1 051	6	1 057

Accuracy

100.0%

Counts

1 057 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.5%	(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
	99.9%	(/.f64 i #s(approx (/ (+ (* 16 (* i i)) -4) i) (fma.f64 #s(literal 16 binary64) i (/.f64 #s(literal -4 binary64) i))))
✓	44.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	56.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓	56.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	44.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 180 to 80 computations (55.6% saved)

regimes9.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms

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

Results

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes8.0ms (0.1%)

Memory

-23.0MiB live, 12.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms

(/.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)))

3.0ms

Results

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

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
100.0%	2	`i`
78.5%	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)

regimes2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Memory

-32.1MiB live, 6.2MiB 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:

7.0ms

(/.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)))

1.0ms

Results

Accuracy	Segments	Branch
44.6%	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)))`
44.6%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch4.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	76247.62366185144	1864627387.6427128

Samples

2.0ms

32×

valid

Compiler

Compiled 61 to 34 computations (44.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (73.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.46633740685239095	7.391616897306006

Samples

6.0ms

96×

valid

Compiler

Compiled 161 to 98 computations (39.1% saved)

Precisions

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

ival-mult: 2.0ms (51.1% of total)

ival-div: 1.0ms (25.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.46633740685239095	7.391616897306006

Compiler

Compiled 125 to 74 computations (40.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.46633740685239095	7.391616897306006

Compiler

Compiled 101 to 62 computations (38.6% saved)

simplify11.0ms (0.1%)

Memory

-19.5MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
9×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	295
1	63	295
2	78	295
3	97	295
4	107	295
5	112	295
6	113	295

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))))
(/.f64 i #s(approx (/ (+ (* 16 (* i i)) -4) i) (fma.f64 #s(literal 16 binary64) i (/.f64 #s(literal -4 binary64) i))))
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 i #s(approx (/ (+ (* 16 (* i i)) -4) i) (fma.f64 #s(literal 16 binary64) i (/.f64 #s(literal -4 binary64) i))))
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 #s(literal -1/4 binary64) (.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

soundness1.1s (14.2%)

Memory

19.5MiB live, 731.0MiB allocated

Rules

7 704×	`lower-fma.f64`
7 704×	`lower-fma.f32`
5 585×	`lower-fma.f64`
5 585×	`lower-fma.f32`
2 557×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1045	396
5	2097	396
6	4072	396
7	6268	396
0	8056	384
0	10	66
0	17	50
1	75	44
2	653	32
0	8740	30
0	57	544
1	118	544
2	271	542
3	666	516
4	1529	516
5	2650	516
6	5556	516
0	8069	483
0	15	77
0	26	67
1	108	65
2	667	59
3	7810	59
0	8724	55

Stop Event

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

Compiler

Compiled 274 to 126 computations (54% saved)

preprocess53.0ms (0.7%)

Memory: 17.0MiB live, 138.2MiB allocated
Remove: (abs i)
Compiler: Compiled 260 to 106 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0%)

sample1.7s (21%)

explain140.0ms (1.7%)

preprocess315.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify255.0ms (3.2%)

localize30.0ms (0.4%)

series6.0ms (0.1%)

simplify534.0ms (6.6%)

rewrite154.0ms (1.9%)

eval120.0ms (1.5%)

prune148.0ms (1.8%)

simplify178.0ms (2.2%)

localize91.0ms (1.1%)

series10.0ms (0.1%)

simplify168.0ms (2.1%)

rewrite187.0ms (2.3%)

eval91.0ms (1.1%)

prune70.0ms (0.9%)

simplify83.0ms (1%)

localize55.0ms (0.7%)

series7.0ms (0.1%)

simplify240.0ms (3%)

rewrite256.0ms (3.2%)

eval291.0ms (3.6%)

prune135.0ms (1.7%)

simplify4.0ms (0.1%)

localize67.0ms (0.8%)

series35.0ms (0.4%)

simplify399.0ms (4.9%)

rewrite377.0ms (4.7%)

eval211.0ms (2.6%)

prune446.0ms (5.5%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch4.0ms (0%)

bsearch10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify11.0ms (0.1%)

soundness1.1s (14.2%)

preprocess53.0ms (0.7%)

end0.0ms (0%)

Profiling