Metrics for Octave 3.8, jcobi/4, as called

analyze3.0ms (0%)

Memory

7.4MiB live, 7.4MiB 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)

sample1.2s (13.3%)

Memory

40.8MiB live, 1 656.4MiB allocated

Samples

842.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 570.0ms

ival-mult: 314.0ms (55.1% of total)

ival-div: 160.0ms (28.1% of total)

ival-sub: 57.0ms (10% of total)

ival->: 22.0ms (3.9% of total)

exact: 14.0ms (2.5% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

preprocess361.0ms (4.1%)

Memory

-53.8MiB live, 454.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs i)

explain176.0ms (2%)

Memory

38.0MiB live, 311.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
193	-	6	(8.724932866547569e-79)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
65	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`i`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	65	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	95
↳	`(*.f64 i i)`	overflow	128
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
`/.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	64	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	95
↳	`(*.f64 i i)`	overflow	128
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	64
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	65
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	59	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	92
↳	`(*.f64 i i)`	underflow	118
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	59
`/.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	92
↳	`(*.f64 i i)`	underflow	118
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	30	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	95
↳	`(*.f64 i i)`	overflow	128
`/.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)))`	n/o	1	0
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	65
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65

Confusion

	Predicted +	Predicted -
+	187	6
-	0	63

Precision

1.0

Recall

0.9689119170984456

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	187	0	6
-	0	0	63

Precision?

1.0

Recall?

0.9689119170984456

Freqs

test

number	freq
0	69
1	122
2	65

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 200 to 44 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 31.0ms (77.3% of total)

ival-div: 6.0ms (15% of total)

ival-sub: 2.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.1%	(/.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)))

Status

Accuracy

Program

▶

28.1%

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

simplify336.0ms (3.8%)

Memory

-32.3MiB live, 411.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

20.2MiB live, 64.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	99.8%	(.f64 (.f64 i i) (*.f64 i i))
✓	accuracy	75.4%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
✓	accuracy	33.9%	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

20.0ms

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 (55.7% of total)

ival-div: 3.0ms (27.8% of total)

ival-sub: 1.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-21.1MiB live, 18.3MiB allocated

Counts

6 → 72

Calls

Call 1

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

Outputs
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt -1>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>

Calls

18 calls:

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

rewrite249.0ms (2.8%)

Memory

17.8MiB live, 418.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 665

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 i i))) (log.f64 (.f64 (.f64 i i) #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 i i) #s(literal -4 binary64))) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(neg.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(/.f64 i (/.f64 #s(literal 4 binary64) i))
(/.f64 i (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(/.f64 (.f64 i i) (.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i #s(literal 2 binary64))) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 i (.f64 i (.f64 (*.f64 i i) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 i (.f64 i (.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (*.f64 i i) #s(literal -4 binary64)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (.f64 i (.f64 i i)) (*.f64 i #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) (.f64 i #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) (neg.f64 (.f64 i #s(literal -2 binary64))))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))))) (fma.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))) (fma.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 i (.f64 (.f64 i i) #s(literal 8 binary64)) #s(literal 1 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))) (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal 256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 i (.f64 i (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))))
(.f64 (neg.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 i (.f64 i (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))))) (.f64 #s(literal 256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))))))
(.f64 (/.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64)))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 i i))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (log.f64 (*.f64 i i))))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(neg.f64 (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 1 binary64))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 i (neg.f64 (neg.f64 (.f64 i (*.f64 i i)))))
(.f64 (.f64 i i) (*.f64 i i))
(.f64 (.f64 i i) (neg.f64 (neg.f64 (*.f64 i i))))
(.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i))))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(.f64 (.f64 i (*.f64 i i)) i)
(.f64 (.f64 i (*.f64 i i)) (neg.f64 (neg.f64 i)))
(.f64 (neg.f64 (.f64 i i)) (neg.f64 (*.f64 i i)))
(.f64 (neg.f64 i) (neg.f64 (.f64 i (*.f64 i i))))
(.f64 (neg.f64 (.f64 i (*.f64 i i))) (neg.f64 i))
(.f64 (neg.f64 (neg.f64 (.f64 i i))) (*.f64 i i))
(.f64 (neg.f64 (neg.f64 i)) (.f64 i (*.f64 i i)))
(.f64 (neg.f64 (neg.f64 (.f64 i (*.f64 i i)))) i)
(exp.f64 (.f64 (log.f64 (.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i))
(/.f64 (.f64 i (.f64 i #s(literal 2 binary64))) i)
(/.f64 (.f64 i (.f64 i #s(literal -2 binary64))) (neg.f64 i))
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal 2 binary64))
(.f64 (.f64 i i) (/.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i #s(literal 2 binary64)))
(.f64 (.f64 i (*.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) i))
(.f64 (pow.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)))

simplify383.0ms (4.4%)

Memory

-18.1MiB live, 693.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval128.0ms (1.4%)

Memory: 16.8MiB live, 128.3MiB allocated
Compiler: Compiled 23 299 to 1 900 computations (91.8% saved)

prune239.0ms (2.7%)

Memory

16.5MiB live, 174.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	848	8	856
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	849	8	857

Accuracy

100.0%

Counts

857 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
	58.8%	(/.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) (.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) i))
▶	75.2%	(/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
	50.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶	51.0%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
	50.8%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
▶	50.4%	#s(literal 1/16 binary64)

Compiler

Compiled 162 to 110 computations (32.1% saved)

simplify671.0ms (7.6%)

Memory

-24.8MiB live, 266.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) i)
✓	cost-diff	0	(*.f64 i #s(literal 1/2 binary64))
✓	cost-diff	192	(/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	cost-diff	640	(.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(.f64 (.f64 i i) #s(literal 1/4 binary64))
✓	cost-diff	128	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	cost-diff	0	(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	cost-diff	0	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	cost-diff	0	(*.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

3 366×	`lower-fma.f32`
3 364×	`lower-fma.f64`
3 232×	`lower-*.f32`
3 220×	`lower-*.f64`
2 450×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	129
0	39	127
1	79	127
2	180	126
3	334	126
4	491	122
5	663	118
6	1000	118
7	2557	118
8	4586	118
9	6975	118
0	8392	117

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

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

localize119.0ms (1.3%)

Memory

11.6MiB live, 131.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(*.f64 i #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	accuracy	76.3%	(.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(.f64 (.f64 i i) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	75.4%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	accuracy	99.9%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
✓	accuracy	99.6%	(/.f64 #s(literal 4 binary64) (*.f64 i i))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))

Samples

47.0ms

256×

valid

Compiler

Compiled 136 to 27 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sub: 13.0ms (39.2% of total)

ival-mult: 10.0ms (30.1% of total)

ival-div: 8.0ms (24.1% of total)

ival-add: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

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

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

series31.0ms (0.4%)

Memory

-8.7MiB live, 28.0MiB allocated

Counts

14 → 168

Calls

Call 1

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

Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt -1>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (/ -2 i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (* 8 i)>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* 8 i)>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (/ 2 i)>
#<alt (/ 2 i)>
#<alt (/ 2 i)>
#<alt (/ 2 i)>
#<alt (/ 2 i)>
#<alt (/ 2 i)>
#<alt (/ 2 i)>
#<alt (/ 2 i)>
#<alt (/ 2 i)>
#<alt (/ 2 i)>
#<alt (/ 2 i)>
#<alt (/ 2 i)>

Calls

42 calls:

Time	Variable		Point	Expression
18.0ms	i	@	0	(* (/ 2 i) (+ (* (* i i) 4) -1))
1.0ms	i	@	-inf	(* i 1/2)
1.0ms	i	@	inf	(* (/ 2 i) (+ (* (* i i) 4) -1))
1.0ms	i	@	0	(/ 1 (- 16 (/ 4 (* i i))))
1.0ms	i	@	inf	(* i (* i (- -1/4 (* i i))))

rewrite699.0ms (8%)

Memory

28.7MiB live, 623.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 470×	`lower-fma.f32`
7 468×	`lower-fma.f64`
5 548×	`lower-*.f32`
5 536×	`lower-*.f64`
3 750×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	98
0	38	96
1	155	96
2	1122	95
0	9007	92

Stop Event

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

Counts

14 → 951

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) #s(literal 256 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.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 -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))))))) #s(literal 256 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 #s(literal 64 binary64) (.f64 i i))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) #s(literal 16 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 4 binary64) (.f64 i i))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (*.f64 i i)))))) #s(literal 16 binary64)))
(+.f64 (.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))))
(+.f64 (.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (.f64 (/.f64 #s(literal 64 binary64) (.f64 i i)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))))
(+.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (*.f64 i i))))))))
(+.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i))))))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (*.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 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))))
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i))))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i))))))))
(fma.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))))
(fma.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))))
(fma.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.f64 #s(literal 64 binary64) (.f64 i i)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) #s(literal 256 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) #s(literal 256 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 #s(literal 64 binary64) (*.f64 i i))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) #s(literal 16 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 4 binary64) (.f64 i i))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) #s(literal 16 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -16 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 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 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal 256 binary64))) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
(/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -16 binary64)) (+.f64 #s(literal -256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i))))))
(pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -16 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))) #s(literal 1 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 -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))))
(.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (*.f64 i i)))))))
(.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)))
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(.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 8 binary64) #s(literal -2 binary64)))) i)
(.f64 (.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 64 binary64) #s(literal -1 binary64)))) (+.f64 (fma.f64 i (.f64 i (.f64 #s(literal 16 binary64) (.f64 i i))) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (.f64 i i))))
(.f64 (.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 i i) (.f64 #s(literal 16 binary64) (.f64 i i)) #s(literal -1 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 8 binary64) #s(literal -2 binary64))) (.f64 i #s(literal -1/2 binary64))) (neg.f64 i))
(.f64 (.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 8 binary64) #s(literal -2 binary64))) #s(literal 1/2 binary64)) i)
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal -1/2 binary64)))
(neg.f64 (*.f64 i #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) i))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 i #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) i))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))
(/.f64 (neg.f64 i) #s(literal -2 binary64))
(/.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) i))
(pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i #s(literal 1/2 binary64)))
(*.f64 i #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 i #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) i)
(*.f64 (neg.f64 i) #s(literal -1/2 binary64))
(.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 i))
(exp.f64 (.f64 (log.f64 (.f64 i #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) i))
(neg.f64 (/.f64 #s(literal -2 binary64) i))
(/.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 i #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) i)
(/.f64 #s(literal -2 binary64) (neg.f64 i))
(pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) i))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) i))
(.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))

simplify418.0ms (4.7%)

Memory

-4.8MiB live, 519.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 218×	`lower-fma.f64`
10 218×	`lower-fma.f32`
3 032×	`lower-*.f64`
3 032×	`lower-*.f32`
1 984×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1152
1	208	1152
2	577	1086
3	1733	1056
4	4902	1056
5	7112	1056
0	8217	1029

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval153.0ms (1.7%)

Memory: 3.9MiB live, 466.2MiB allocated
Compiler: Compiled 26 421 to 2 514 computations (90.5% saved)

prune132.0ms (1.5%)

Memory

-19.5MiB live, 305.5MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 306	4	1 310
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	1 309	9	1 318

Accuracy

100.0%

Counts

1 318 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
▶	99.9%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
▶	50.7%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
✓	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	50.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	51.0%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
▶	50.8%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	50.4%	#s(literal 1/16 binary64)

Compiler

Compiled 136 to 96 computations (29.4% saved)

simplify334.0ms (3.8%)

Memory

25.6MiB live, 225.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 i (.f64 i (*.f64 i i)))
✓	cost-diff	0	(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
✓	cost-diff	0	(*.f64 i #s(literal -1/4 binary64))
✓	cost-diff	640	(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) i)
✓	cost-diff	0	(*.f64 i #s(literal 1/2 binary64))
✓	cost-diff	1088	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	cost-diff	0	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	cost-diff	0	(*.f64 i #s(literal -1/4 binary64))
✓	cost-diff	0	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) i)
✓	cost-diff	0	(fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))
✓	cost-diff	0	(*.f64 i #s(literal 1/2 binary64))
✓	cost-diff	320	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))

Rules

1 888×	`lower-fma.f32`
1 884×	`lower-fma.f64`
1 372×	`div-sub`
1 328×	`lower-*.f32`
1 316×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	37	101
1	67	95
2	117	95
3	177	95
4	288	95
5	467	95
6	755	95
7	1334	95
8	1781	95
9	2448	95
10	3137	95
11	3688	95
12	4076	94
13	4642	94
14	5451	94
15	5815	94
16	6242	94
17	6320	94
18	6551	94
19	6676	94
20	6790	94
21	6849	94
22	6853	94
23	6853	94
24	6861	94
25	6861	94
26	6877	94
27	6891	94
28	6921	94
0	6921	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
(*.f64 i #s(literal 1/2 binary64))
i
#s(literal 1/2 binary64)
(fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))
#s(literal 8 binary64)
(/.f64 #s(literal -2 binary64) i)
#s(literal -2 binary64)
(.f64 i (.f64 i #s(literal -1/4 binary64)))
i
(*.f64 i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
(*.f64 i #s(literal 1/2 binary64))
i
#s(literal 1/2 binary64)
(/.f64 #s(literal -2 binary64) i)
#s(literal -2 binary64)
(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(*.f64 i #s(literal -1/4 binary64))
i
#s(literal -1/4 binary64)
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 i (.f64 i i))
(*.f64 i i)

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

localize77.0ms (0.9%)

Memory

-27.0MiB live, 146.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 i #s(literal -1/4 binary64))
✓	accuracy	100.0%	(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
✓	accuracy	99.9%	(.f64 i (.f64 i (*.f64 i i)))
✓	accuracy	99.9%	(.f64 i (.f64 i i))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) i)
✓	accuracy	100.0%	(*.f64 i #s(literal 1/2 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	accuracy	99.7%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	accuracy	100.0%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 i #s(literal -1/4 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) i)
✓	accuracy	100.0%	(*.f64 i #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))
✓	accuracy	99.9%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))

Samples

51.0ms

256×

valid

Compiler

Compiled 116 to 25 computations (78.4% saved)

Precisions

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

ival-mult: 26.0ms (68.1% of total)

ival-div: 7.0ms (18.3% of total)

ival-add: 3.0ms (7.9% of total)

exact: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

series13.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))>
#<alt (*.f64 i #s(literal 1/2 binary64))>
#<alt (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))>
#<alt (/.f64 #s(literal -2 binary64) i)>
#<alt (.f64 i (.f64 i #s(literal -1/4 binary64)))>
#<alt (*.f64 i #s(literal -1/4 binary64))>
#<alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))>
#<alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i))>
#<alt (*.f64 i i)>
#<alt (/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))>
#<alt (fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))>
#<alt (neg.f64 (.f64 i (.f64 i (*.f64 i i))))>
#<alt (.f64 i (.f64 i (*.f64 i i)))>
#<alt (.f64 i (.f64 i i))>

Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (/ -2 i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (* 8 i)>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* 8 i)>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<alt (/ -2 i)>
#<alt (/ -2 i)>
#<alt (/ -2 i)>
#<alt (/ -2 i)>
#<alt (/ -2 i)>
#<alt (/ -2 i)>
#<alt (/ -2 i)>
#<alt (/ -2 i)>
#<alt (/ -2 i)>
#<alt (/ -2 i)>
#<alt (/ -2 i)>
#<alt (/ -2 i)>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>

Calls

42 calls:

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

rewrite349.0ms (4%)

Memory

-9.3MiB live, 654.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 250×	`lower-fma.f32`
10 246×	`lower-fma.f64`
5 342×	`lower-*.f32`
5 330×	`lower-*.f64`
3 428×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	85
0	37	75
1	135	69
2	1000	69
0	9044	68

Stop Event

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

Counts

14 → 633

Calls

Call 1

Inputs
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
(*.f64 i #s(literal 1/2 binary64))
(fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))
(/.f64 #s(literal -2 binary64) i)
(.f64 i (.f64 i #s(literal -1/4 binary64)))
(*.f64 i #s(literal -1/4 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(*.f64 i i)
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 i (.f64 i i))

Outputs
(+.f64 (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (.f64 i (.f64 i #s(literal 64 binary64)))) (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (/.f64 i i) #s(literal -16 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (/.f64 i i) #s(literal -16 binary64)))) (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (.f64 i (.f64 i #s(literal 64 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (.f64 i #s(literal 8 binary64))) (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) (/.f64 #s(literal 2 binary64) i)))
(+.f64 (.f64 (.f64 i (.f64 i #s(literal 64 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i)))))) (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (/.f64 i i) #s(literal -16 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i)))))))
(+.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (/.f64 i i) #s(literal -16 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i)))))) (.f64 (.f64 i (.f64 i #s(literal 64 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i)))))))
(+.f64 (.f64 (.f64 i #s(literal 8 binary64)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (.f64 i i))))) (.f64 (/.f64 #s(literal 2 binary64) i) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)) (.f64 i #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal -8 binary64) (/.f64 #s(literal 2 binary64) i))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i #s(literal -8 binary64) (/.f64 #s(literal 2 binary64) i))) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal -8 binary64) (/.f64 #s(literal 2 binary64) i))))
(fma.f64 (.f64 i #s(literal 8 binary64)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (.f64 (/.f64 #s(literal 2 binary64) i) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (.f64 i i))))))
(fma.f64 (.f64 i (.f64 i #s(literal 64 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (/.f64 i i) #s(literal -16 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (*.f64 i i)))))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (/.f64 i i) #s(literal -16 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (.f64 (.f64 i (.f64 i #s(literal 64 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (*.f64 i i)))))))
(fma.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (.f64 i (.f64 i #s(literal 64 binary64))) (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (*.f64 (/.f64 i i) #s(literal -16 binary64)))))
(fma.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (/.f64 i i) #s(literal -16 binary64))) (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (.f64 i (*.f64 i #s(literal 64 binary64)))))
(fma.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (.f64 i #s(literal 8 binary64)) (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 #s(literal 2 binary64) i)))
(neg.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal -8 binary64) (/.f64 #s(literal 2 binary64) i))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal -8 binary64) (/.f64 #s(literal 2 binary64) i)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)) (*.f64 i #s(literal 1/2 binary64)))))
(/.f64 i (*.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)) #s(literal 2 binary64)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)) (*.f64 i #s(literal 1/2 binary64))))
(/.f64 (*.f64 i #s(literal -1/2 binary64)) (fma.f64 i #s(literal -8 binary64) (/.f64 #s(literal 2 binary64) i)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)) (*.f64 i #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)) (*.f64 i #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))
(*.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))
(.f64 (.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))
(.f64 #s(literal 1 binary64) (/.f64 i (.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)) #s(literal 2 binary64))))
(.f64 (.f64 i #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))) (.f64 i #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal -8 binary64) (/.f64 #s(literal 2 binary64) i))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))) i)
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 i) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (-.f64 (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal 4 binary64) (.f64 i i))) (*.f64 (/.f64 i i) #s(literal -16 binary64))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal 4 binary64) (.f64 i i))) (*.f64 (/.f64 i i) #s(literal -16 binary64))))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i)))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (.f64 i i)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -8 binary64) (/.f64 #s(literal -2 binary64) i)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (/.f64 i (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal 4 binary64) (.f64 i i))) (.f64 (/.f64 i i) #s(literal -16 binary64))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) (/.f64 i (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -8 binary64) (/.f64 #s(literal -2 binary64) i)))))
(.f64 (/.f64 i (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal 4 binary64) (.f64 i i))) (.f64 (/.f64 i i) #s(literal -16 binary64))))))
(.f64 (/.f64 i (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -8 binary64) (/.f64 #s(literal -2 binary64) i)))))
(*.f64 (/.f64 i #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))
(.f64 (pow.f64 (/.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)) (.f64 i #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)) (*.f64 i #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i)))))) (-.f64 (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal 4 binary64) (.f64 i i))) (*.f64 (/.f64 i i) #s(literal -16 binary64))))
(.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal -4 binary64) (.f64 i i))))) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i)))))) (-.f64 (fma.f64 i (.f64 i #s(literal 64 binary64)) (/.f64 #s(literal 4 binary64) (.f64 i i))) (.f64 (/.f64 i i) #s(literal -16 binary64))))
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(/.f64 (fma.f64 (.f64 i #s(literal -1/2 binary64)) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 2 binary64) i) (neg.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 0 binary64))))
(/.f64 (fma.f64 (.f64 i #s(literal -1/2 binary64)) (.f64 i (.f64 i (.f64 i i))) (.f64 (/.f64 #s(literal 2 binary64) i) (.f64 i (.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))))) (.f64 (/.f64 #s(literal 2 binary64) i) (.f64 i (.f64 i (.f64 i i)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (neg.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))) #s(literal 0 binary64))))
(/.f64 (fma.f64 i (.f64 i (.f64 i (neg.f64 i))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 i (.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))))
(/.f64 (fma.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i (.f64 i i))) (.f64 (/.f64 #s(literal -2 binary64) i) (.f64 i (.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))))) (.f64 (/.f64 #s(literal -2 binary64) i) (.f64 i (.f64 i (.f64 i i)))))
(/.f64 (fma.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (.f64 #s(literal -2 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))) #s(literal 0 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (.f64 i (.f64 i (.f64 i i))) (.f64 #s(literal -2 binary64) (.f64 i (.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))))) (.f64 #s(literal -2 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 i i) (.f64 #s(literal 1/16 binary64) (.f64 i i))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (.f64 (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i i)))))) (.f64 (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))))
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(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i))))
(/.f64 (neg.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (-.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))) (neg.f64 (.f64 (.f64 i i) (-.f64 (.f64 i (neg.f64 i)) #s(literal -1/4 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 i i) (.f64 #s(literal 1/16 binary64) (.f64 i i))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 i (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 i i) (.f64 #s(literal 1/16 binary64) (.f64 i i))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (/.f64 (.f64 (.f64 i i) (.f64 #s(literal 1/16 binary64) (.f64 i i))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (fma.f64 (/.f64 (.f64 i (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (/.f64 (.f64 i (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (.f64 (/.f64 (.f64 (.f64 i i) (.f64 #s(literal 1/16 binary64) (.f64 i i))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))) (/.f64 (.f64 i (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))) #s(literal -1 binary64))
(.f64 i (.f64 i (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(.f64 (.f64 i i) (fma.f64 i (neg.f64 i) #s(literal -1/4 binary64)))
(.f64 (neg.f64 i) (fma.f64 i (.f64 i i) (.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(.f64 (neg.f64 i) (fma.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (.f64 i (.f64 i i))))
(.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (.f64 i (.f64 i i)) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) i) (neg.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (.f64 i i) (-.f64 (.f64 i (neg.f64 i)) #s(literal -1/4 binary64))))))))
(.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (.f64 i (.f64 i i)) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i #s(literal -1/4 binary64))) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i)))))))
(.f64 #s(literal 1 binary64) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))))
(.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (.f64 i (.f64 i i)) #s(literal -1/64 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 i (.f64 (.f64 #s(literal 1/16 binary64) (.f64 i i)) i) (neg.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (.f64 i i) (-.f64 (.f64 i (neg.f64 i)) #s(literal -1/4 binary64)))))))))
(.f64 (neg.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (-.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) (-.f64 (*.f64 i (neg.f64 i)) #s(literal -1/4 binary64)))))
(.f64 (/.f64 (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) i) (/.f64 (.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i (neg.f64 i))))))
(+.f64 #s(literal 0 binary64) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 0 binary64))) (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))) (.f64 i (.f64 i (.f64 i i))))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(/.f64 (.f64 i (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i i)))) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 0 binary64)) (neg.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 i (.f64 i (.f64 i i))))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 i (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i i)))) (.f64 #s(literal 0 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i))))))))
(/.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (.f64 i i))))
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(.f64 i (.f64 i (*.f64 i (neg.f64 i))))
(.f64 (.f64 i i) (*.f64 i (neg.f64 i)))
(.f64 (.f64 i (*.f64 i i)) (neg.f64 i))
(.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1 binary64))
(.f64 (neg.f64 i) (.f64 i (*.f64 i i)))
(.f64 (.f64 i (neg.f64 i)) (*.f64 i i))
(.f64 #s(literal -1 binary64) (.f64 i (.f64 i (.f64 i i))))
(.f64 (.f64 i (*.f64 i (neg.f64 i))) i)
(.f64 (neg.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 0 binary64))))
(.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(.f64 (.f64 i #s(literal -1 binary64)) (.f64 i (.f64 i i)))
(.f64 (.f64 (.f64 i i) #s(literal -1 binary64)) (.f64 i i))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -1 binary64)) i)
(.f64 (.f64 (neg.f64 i) (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 i i)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(neg.f64 (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(/.f64 (.f64 i (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i i)))) (.f64 i (.f64 i (.f64 i i))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (neg.f64 (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))) #s(literal 0 binary64))))
(/.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 i (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i i)))) #s(literal 0 binary64))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (*.f64 i (neg.f64 i)) #s(literal 2 binary64))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 i (neg.f64 (.f64 i (*.f64 i (neg.f64 i)))))
(.f64 (.f64 i i) (*.f64 i i))
(.f64 (.f64 i (*.f64 i i)) i)
(.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) #s(literal -1 binary64))
(.f64 (neg.f64 i) (.f64 i (*.f64 i (neg.f64 i))))
(.f64 (.f64 i (neg.f64 i)) (*.f64 i (neg.f64 i)))
(.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i))))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(.f64 (.f64 i (*.f64 i (neg.f64 i))) (neg.f64 i))
(.f64 (.f64 (*.f64 i (neg.f64 i)) (neg.f64 i)) i)
(.f64 (.f64 (neg.f64 i) (*.f64 i (neg.f64 i))) i)
(.f64 (neg.f64 (.f64 i (*.f64 i (neg.f64 i)))) i)
(.f64 (.f64 #s(literal 1 binary64) (.f64 i (.f64 i i))) i)
(.f64 (.f64 (neg.f64 i) #s(literal -1 binary64)) (.f64 i (.f64 i i)))
(.f64 (.f64 i (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 i (neg.f64 i)) #s(literal -1 binary64)) (.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 3 binary64)))
(pow.f64 i #s(literal 3 binary64))
(pow.f64 (*.f64 i i) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 i #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 3 binary64))
(.f64 i (.f64 i i))
(.f64 (.f64 i i) i)
(*.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)))

simplify419.0ms (4.8%)

Memory

13.2MiB live, 604.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 900×	`lower-fma.f64`
16 900×	`lower-fma.f32`
3 300×	`lower-*.f64`
3 300×	`lower-*.f32`
2 380×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	854
1	154	854
2	360	844
3	856	822
4	1916	822
5	3340	822
6	6677	822
0	8041	807

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
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))))))
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(* 1/2 i)
(/ -2 i)
(/ (- (* 8 (pow i 2)) 2) i)
(/ (- (* 8 (pow i 2)) 2) i)
(/ (- (* 8 (pow i 2)) 2) i)
(* 8 i)
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(* 8 i)
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(/ -2 i)
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(/ 1/64 (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))
(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))
(* -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) (- (* -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 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(* -1 (pow i 4))
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)
(pow i 3)

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

eval106.0ms (1.2%)

Memory: 33.0MiB live, 221.2MiB allocated
Compiler: Compiled 15 327 to 1 507 computations (90.2% saved)

prune81.0ms (0.9%)

Memory

-26.9MiB live, 167.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	933	0	933
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	933	9	942

Accuracy

100.0%

Counts

942 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
✓	99.9%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
✓	50.7%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
▶	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
✓	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	50.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	51.0%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	50.8%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	50.4%	#s(literal 1/16 binary64)

Compiler

Compiled 79 to 56 computations (29.1% saved)

simplify10.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) i)
✓	cost-diff	0	(-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 4 binary64) i) i)

Rules

56×	`lower-+.f64`
56×	`lower-+.f32`
54×	`lower-fma.f64`
54×	`lower-fma.f32`
44×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	18	28
2	31	28
3	47	28
4	69	28
5	90	28
6	117	28
7	148	28
8	171	28
9	176	28
10	179	28
11	181	28
0	181	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.4%)

Memory

-6.1MiB live, 32.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) i)
✓	accuracy	100.0%	(-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 4 binary64) i) i)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))

Samples

30.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 22.0ms (93.4% of total)

ival-sub: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>
#<alt (/ 4 i)>

Calls

12 calls:

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

rewrite264.0ms (3%)

Memory

13.7MiB live, 408.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 448×	`lower-*.f64`
3 448×	`lower-*.f32`
2 926×	`lower-/.f32`
2 920×	`lower-/.f64`
2 590×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	54	24
2	382	24
3	4439	24
0	8925	22

Stop Event

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

Counts

4 → 249

Calls

Call 1

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

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

simplify350.0ms (4%)

Memory

13.5MiB live, 395.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 124×	`lower-fma.f64`
10 124×	`lower-fma.f32`
3 090×	`lower-*.f64`
3 090×	`lower-*.f32`
1 872×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	337
1	103	337
2	239	300
3	547	296
4	1066	296
5	1940	296
6	3902	296
7	6631	296
0	8120	293

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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

eval221.0ms (2.5%)

Memory: -60.2MiB live, 83.4MiB allocated
Compiler: Compiled 7 189 to 824 computations (88.5% saved)

prune100.0ms (1.1%)

Memory

15.1MiB live, 92.5MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	297	0	297
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	297	9	306

Accuracy

100.0%

Counts

306 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
✓	99.9%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
✓	50.7%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
✓	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
✓	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	50.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	51.0%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	50.8%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	50.4%	#s(literal 1/16 binary64)

Compiler

Compiled 217 to 108 computations (50.2% saved)

regimes12.0ms (0.1%)

Memory

-23.6MiB live, 17.4MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(.f64 i (.f64 i #s(literal -1/4 binary64)))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
(/.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) (.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) i))
(/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

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

Calls

2 calls:

6.0ms

(/.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)))

4.0ms

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)

regimes6.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

3.0ms

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

Results

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms

2.0ms

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

Results

Accuracy	Segments	Branch
99.8%	2	`i`
77.4%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes18.0ms (0.2%)

Memory

-34.1MiB live, 5.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)

Outputs
#s(literal 1/16 binary64)

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
50.4%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
50.4%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch17.0ms (0.2%)

Memory

-3.0MiB live, 36.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0006091274200652351	22564.181497698926

Samples

8.0ms

144×

valid

Compiler

Compiled 245 to 158 computations (35.5% saved)

Precisions

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

ival-mult: 3.0ms (51.1% of total)

ival-div: 2.0ms (34% of total)

ival-sub: 1.0ms (17% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006091274200652351	22564.181497698926

Compiler

Compiled 209 to 140 computations (33% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006091274200652351	22564.181497698926

Compiler

Compiled 155 to 104 computations (32.9% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006091274200652351	22564.181497698926

Compiler

Compiled 119 to 86 computations (27.7% saved)

simplify9.0ms (0.1%)

Memory

-18.7MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
18×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	88
1	58	88
2	81	88
3	92	88
4	98	88
5	99	88

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

Outputs
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i #s(literal -1/4 binary64)) i (.f64 (.f64 i (.f64 i i)) (neg.f64 i))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness992.0ms (11.3%)

Memory

22.9MiB live, 656.4MiB allocated

Rules

15 408×	`lower-fma.f64`
15 408×	`lower-fma.f32`
10 218×	`lower-fma.f64`
10 218×	`lower-fma.f32`
7 470×	`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	23	98
0	38	96
1	155	96
2	1122	95
0	9007	92
0	87	1152
1	208	1152
2	577	1086
3	1733	1056
4	4902	1056
5	7112	1056
0	8217	1029
0	10	66
0	17	50
1	75	44
2	653	32
0	8740	30

Stop Event

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

Compiler

Compiled 163 to 84 computations (48.5% saved)

preprocess52.0ms (0.6%)

Memory: -8.3MiB live, 107.5MiB allocated
Remove: (abs i)
Compiler: Compiled 252 to 104 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	28
0	12	28
1	18	28
2	31	28
3	47	28
4	69	28
5	90	28
6	117	28
7	148	28
8	171	28
9	176	28
10	179	28
11	181	28
0	181	28

Iter	Nodes	Cost
0	8	28
0	12	28
1	18	28
2	31	28
3	47	28
4	69	28
5	90	28
6	117	28
7	148	28
8	171	28
9	176	28
10	179	28
11	181	28
0	181	28

analyze3.0ms (0%)

sample1.2s (13.3%)

preprocess361.0ms (4.1%)

explain176.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify336.0ms (3.8%)

localize32.0ms (0.4%)

series8.0ms (0.1%)

rewrite249.0ms (2.8%)

simplify383.0ms (4.4%)

eval128.0ms (1.4%)

prune239.0ms (2.7%)

simplify671.0ms (7.6%)

localize119.0ms (1.3%)

series31.0ms (0.4%)

rewrite699.0ms (8%)

simplify418.0ms (4.7%)

eval153.0ms (1.7%)

prune132.0ms (1.5%)

simplify334.0ms (3.8%)

localize77.0ms (0.9%)

series13.0ms (0.2%)

rewrite349.0ms (4%)

simplify419.0ms (4.8%)

eval106.0ms (1.2%)

prune81.0ms (0.9%)

simplify10.0ms (0.1%)

localize38.0ms (0.4%)

series3.0ms (0%)

rewrite264.0ms (3%)

simplify350.0ms (4%)

eval221.0ms (2.5%)

prune100.0ms (1.1%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes18.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify9.0ms (0.1%)

soundness992.0ms (11.3%)

preprocess52.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	28
0	12	28
1	18	28
2	31	28
3	47	28
4	69	28
5	90	28
6	117	28
7	148	28
8	171	28
9	176	28
10	179	28
11	181	28
0	181	28