Metrics for Octave 3.8, jcobi/4, as called

analyze4.0ms (0%)

Memory

-31.9MiB live, 6.4MiB 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 (13.6%)

Memory

-77.9MiB live, 1 574.2MiB allocated

Samples

872.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 718.0ms

ival-mult: 484.0ms (67.4% of total)

ival-div: 151.0ms (21% of total)

ival-sub: 39.0ms (5.4% of total)

ival->: 27.0ms (3.8% of total)

exact: 13.0ms (1.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess336.0ms (3.9%)

Memory

6.9MiB live, 552.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs i)

explain201.0ms (2.3%)

Memory

15.4MiB live, 268.9MiB 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

77.0ms

512×

valid

Compiler

Compiled 200 to 44 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 50.0ms (84.6% of total)

ival-div: 6.0ms (10.1% of total)

ival-sub: 2.0ms (3.4% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

simplify285.0ms (3.3%)

Memory

-11.3MiB live, 466.9MiB 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)

localize35.0ms (0.4%)

Memory

8.7MiB live, 45.6MiB 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

17.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (58.2% of total)

ival-div: 3.0ms (29.1% of total)

ival-sub: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB 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	@	inf	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
1.0ms	i	@	0	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms	i	@	inf	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms	i	@	inf	(* (* 2 i) (* 2 i))
0.0ms	i	@	inf	(* 2 i)

simplify405.0ms (4.7%)

Memory

-6.1MiB live, 668.9MiB 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))

rewrite311.0ms (3.6%)

Memory

-2.8MiB live, 518.0MiB 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)))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -1/2 binary64)) (.f64 i #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 i i)) #s(literal -4 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i)))
(/.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) i))
(/.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i i))))
(/.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) (.f64 i (.f64 i i))))
(/.f64 (neg.f64 (.f64 i (.f64 i i))) (*.f64 i #s(literal -4 binary64)))
(/.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64))) (.f64 i (.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (*.f64 i i))
(/.f64 (.f64 i (.f64 (*.f64 i i) #s(literal 1/4 binary64))) i)
(/.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) i) i))
(/.f64 (.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (.f64 i i)) (*.f64 i i))
(/.f64 (.f64 (.f64 (*.f64 i i) #s(literal 1/4 binary64)) i) i)
(/.f64 (.f64 (neg.f64 (.f64 i i)) #s(literal 1 binary64)) (.f64 (.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 i (*.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (.f64 i i))
(/.f64 (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) #s(literal 1 binary64)) i)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))) (.f64 i (*.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))))) (.f64 i i))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 i i))) (.f64 (/.f64 #s(literal 2 binary64) i) (.f64 i #s(literal -2 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 i i)) (.f64 i (.f64 i #s(literal 1/2 binary64)))) (.f64 i (.f64 i #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (.f64 i i)) (.f64 i (.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (neg.f64 (.f64 i i))) (.f64 i (.f64 i #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (.f64 i (.f64 i #s(literal 1/2 binary64)))) (.f64 i i))
(/.f64 (neg.f64 (.f64 i (.f64 i #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))) (.f64 i (.f64 i #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))))) (neg.f64 (*.f64 i i)))
(/.f64 (neg.f64 (.f64 i (.f64 (*.f64 i i) #s(literal 1/4 binary64)))) (neg.f64 i))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i i)) #s(literal 4 binary64))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1 binary64)) (.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i i))) (.f64 i (.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) i) (.f64 i (.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 i #s(literal 1/4 binary64)) (.f64 i (.f64 i i))) (*.f64 i i))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i (*.f64 i i))) i)
(/.f64 (.f64 (.f64 i #s(literal 1/4 binary64)) (*.f64 i i)) i)
(/.f64 (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) i) (*.f64 i i))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 i (.f64 i (.f64 i i)))) (.f64 i (.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i (.f64 i (.f64 i i)))) (*.f64 i i))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) i) (.f64 i (.f64 i (.f64 i i)))) i)
(/.f64 (.f64 (.f64 i (.f64 (.f64 i (*.f64 i i)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) i)) i)
(/.f64 (/.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) #s(literal 2 binary64)) (.f64 i (*.f64 i #s(literal -2 binary64))))
(/.f64 (/.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) #s(literal -1 binary64)) (.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (/.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) #s(literal 4 binary64)) (neg.f64 (.f64 i i)))
(/.f64 (/.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 i #s(literal 4 binary64))) (neg.f64 i))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) i) i)
(pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(.f64 i (.f64 (neg.f64 (.f64 i (.f64 i i))) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 i (.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/2 binary64))))
(.f64 i (.f64 (/.f64 #s(literal 1/4 binary64) i) (*.f64 i i)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(.f64 (.f64 i (.f64 i (.f64 i i))) (pow.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 i i)) #s(literal 1 binary64)))
(.f64 (.f64 i #s(literal 1/2 binary64)) (*.f64 i #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (.f64 i (.f64 i (*.f64 i i))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (*.f64 i i)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(.f64 (.f64 i (*.f64 i i)) (/.f64 #s(literal 1/4 binary64) i))
(.f64 (.f64 i (.f64 i i)) (.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64)))
(.f64 (.f64 i (.f64 i i)) (.f64 (neg.f64 i) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (.f64 i (.f64 i i)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) i)))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) i))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))))
(.f64 (neg.f64 (.f64 i i)) #s(literal -1/4 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 i (*.f64 i #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 i i)))
(.f64 (.f64 i #s(literal 1/4 binary64)) i)
(.f64 (.f64 i #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) i) (.f64 i i)))
(.f64 (/.f64 #s(literal 1 binary64) i) (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) i) (.f64 i (*.f64 i i)))
(.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i (*.f64 i i))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) i) (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 i) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (neg.f64 i) (/.f64 (.f64 i (.f64 i i)) (.f64 (*.f64 i i) #s(literal -4 binary64))))
(.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (neg.f64 (.f64 i (.f64 i i))) (/.f64 i (.f64 (*.f64 i i) #s(literal -4 binary64))))
(.f64 (.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1/4 binary64) (.f64 i i)) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 i (*.f64 i #s(literal 2 binary64)))))
(.f64 (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 i i)))
(.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(.f64 (.f64 i (*.f64 i #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 i i)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 i (*.f64 i i))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 #s(literal 1 binary64) (.f64 i (.f64 i i))) (/.f64 #s(literal 1/4 binary64) i))
(.f64 (neg.f64 (neg.f64 (.f64 i i))) #s(literal 1/4 binary64))
(.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)))
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(.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)))

eval149.0ms (1.7%)

Memory: 14.9MiB live, 233.0MiB allocated
Compiler: Compiled 23 419 to 1 900 computations (91.9% saved)

prune96.0ms (1.1%)

Memory

-2.2MiB live, 276.2MiB 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%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
▶	51.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
	50.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
▶	50.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 170 to 110 computations (35.3% saved)

simplify513.0ms (6%)

Memory

20.4MiB live, 696.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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	320	(.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	cost-diff	704	(/.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	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	320	(/.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 #s(literal -1/4 binary64) (*.f64 i i))
✓	cost-diff	0	(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	cost-diff	0	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
✓	cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) (*.f64 i i))
✓	cost-diff	0	(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))

Rules

17 144×	`lower-fma.f32`
17 142×	`lower-fma.f64`
4 022×	`lower-*.f32`
4 010×	`lower-*.f64`
3 486×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	191
0	48	195
1	116	187
2	412	162
3	1785	162
4	3484	158
5	6038	158
0	8572	153

Stop Event

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

Calls

Call 1

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

localize150.0ms (1.7%)

Memory

-26.4MiB live, 231.9MiB allocated

Localize:

Found 17 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 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	51.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
✓	accuracy	50.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
✓	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

90.0ms

256×

valid

Compiler

Compiled 186 to 33 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 42.0ms (55.5% of total)

ival-div: 28.0ms (37% of total)

ival-sub: 3.0ms (4% of total)

ival-add: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series8.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

16 → 192

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

48 calls:

Time	Variable		Point	Expression
1.0ms	i	@	-inf	(* i 1/2)
1.0ms	i	@	0	(/ 1 (- 16 (/ 4 (* i i))))
0.0ms	i	@	inf	(* i (* i (- -1/4 (* i i))))
0.0ms	i	@	0	(* (/ 2 i) (+ (* (* i i) 4) -1))
0.0ms	i	@	inf	(* (/ 2 i) (+ (* (* i i) 4) -1))

simplify378.0ms (4.4%)

Memory

-2.7MiB live, 475.1MiB 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	1422
1	208	1422
2	577	1354
3	1733	1316
4	4902	1316
5	7112	1316
0	8217	1283

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

rewrite498.0ms (5.8%)

Memory

0.9MiB live, 315.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 514×	`lower-/.f32`
4 504×	`lower-/.f64`
3 946×	`lower-fma.f32`
3 944×	`lower-fma.f64`
3 602×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	160
0	48	156
1	226	148
2	1847	120
0	8465	118

Stop Event

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

Counts

16 → 893

Calls

Call 1

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

eval475.0ms (5.5%)

Memory: 18.4MiB live, 203.9MiB allocated
Compiler: Compiled 26 605 to 2 656 computations (90% saved)

prune228.0ms (2.6%)

Memory

-9.8MiB live, 407.6MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 286	5	1 291
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 290	9	1 299

Accuracy

100.0%

Counts

1 299 → 9

Alt Table

Click to see full alt table

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

Compiler

Compiled 150 to 96 computations (36% saved)

simplify444.0ms (5.1%)

Memory

-18.1MiB live, 587.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

11 570×	`lower-fma.f32`
11 566×	`lower-fma.f64`
4 462×	`lower-*.f32`
4 448×	`lower-*.f64`
2 700×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	296
0	62	268
1	137	254
2	386	234
3	1558	234
4	3781	228
5	6544	228
0	8209	221

Stop Event

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

Calls

Call 1

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

localize102.0ms (1.2%)

Memory

1.3MiB live, 240.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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	51.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 #s(literal -1/4 binary64) i) i (neg.f64 (.f64 i (.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	99.9%	(/.f64 (.f64 i #s(literal 1/2 binary64)) #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (/.f64 #s(literal -2 binary64) i)))
✓	accuracy	51.1%	#s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (/.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	50.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
✓	accuracy	100.0%	(.f64 i #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)))
✓	accuracy	99.9%	(.f64 i (.f64 i #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64))))
✓	accuracy	52.4%	#s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64))
✓	accuracy	51.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)))))
✓	accuracy	100.0%	(*.f64 i #s(literal 1/2 binary64))
✓	accuracy	100.0%	#s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
✓	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)) #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))

Samples

55.0ms

256×

valid

Compiler

Compiled 238 to 40 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 21.0ms (53.7% of total)

ival-div: 9.0ms (23% of total)

ival-add: 4.0ms (10.2% of total)

ival-sub: 2.0ms (5.1% 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)

series12.0ms (0.1%)

Memory

-21.5MiB live, 16.2MiB allocated

Counts

21 → 252

Calls

Call 1

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

Calls

63 calls:

Time	Variable		Point	Expression
0.0ms	i	@	0	(+ (* i 8) (/ -2 i))
0.0ms	i	@	-inf	(* i (* i i))
0.0ms	i	@	0	(/ 1/64 (* i i))
0.0ms	i	@	inf	(* -1/4 i)
0.0ms	i	@	0	(* i (* i i))

simplify349.0ms (4.1%)

Memory

22.4MiB live, 658.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	1703
1	183	1703
2	507	1662
3	1511	1588
4	5723	1588
0	8137	1543

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

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

rewrite349.0ms (4%)

Memory

24.2MiB live, 533.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 768×	`lower-fma.f32`
5 764×	`lower-fma.f64`
5 498×	`lower-/.f32`
5 490×	`lower-/.f64`
4 058×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	273
0	62	245
1	266	231
2	2078	207
0	8793	201

Stop Event

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

Counts

21 → 297

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (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 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (neg.f64 #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))))
(neg.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (neg.f64 #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))))
(neg.f64 (/.f64 (.f64 i #s(literal -1/2 binary64)) #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (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 #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (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) (neg.f64 (neg.f64 (/.f64 #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (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 #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))) (.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 i #s(literal -1/2 binary64)) (neg.f64 #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))))
(/.f64 (.f64 i #s(literal 1/2 binary64)) #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))
(/.f64 (neg.f64 (.f64 i #s(literal -1/2 binary64))) (neg.f64 (neg.f64 #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))
(/.f64 (neg.f64 (neg.f64 (.f64 i #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (neg.f64 #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))))))
(/.f64 (neg.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))))
(pow.f64 (/.f64 #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (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) #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))))
(.f64 #s(literal 1/2 binary64) (.f64 i (/.f64 #s(literal 1 binary64) #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))))
(.f64 #s(literal 1/2 binary64) (/.f64 i #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (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) (neg.f64 #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (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) #s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))) (*.f64 i #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))) i)
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal -1/2 binary64)))
(/.f64 i #s(literal 2 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 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.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 (neg.f64 (neg.f64 i)) #s(literal 2 binary64))
(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 i #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) i)
#s(approx (* (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
(+.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 i #s(literal 8 binary64)))
(+.f64 (*.f64 i #s(literal 8 binary64)) (/.f64 #s(literal -2 binary64) i))
(-.f64 (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal -2 binary64) i) (.f64 i #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 i #s(literal 8 binary64)))))
(fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 i)) (*.f64 i #s(literal 8 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)) (.f64 i #s(literal 8 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) i) #s(literal -1 binary64) (*.f64 i #s(literal 8 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal 8 binary64)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) i) (*.f64 i #s(literal 8 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) i) (*.f64 i #s(literal 8 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -2 binary64) (*.f64 i #s(literal 8 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal 2 binary64) (*.f64 i #s(literal 8 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (/.f64 (.f64 (.f64 i #s(literal 8 binary64)) #s(literal -2 binary64)) 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 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) i) (.f64 i #s(literal 8 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (.f64 i i) #s(literal 64 binary64)))))
(/.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i)))) (fma.f64 (/.f64 #s(literal -2 binary64) i) (-.f64 (/.f64 #s(literal -2 binary64) i) (.f64 i #s(literal 8 binary64))) (.f64 (*.f64 i i) #s(literal 64 binary64))))
(/.f64 (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 (.f64 i i) #s(literal 64 binary64)) (/.f64 (.f64 (*.f64 i #s(literal 8 binary64)) #s(literal -2 binary64)) i))))
(/.f64 (-.f64 (.f64 (.f64 i 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 (neg.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) i) (-.f64 (/.f64 #s(literal -2 binary64) i) (.f64 i #s(literal 8 binary64))) (.f64 (*.f64 i i) #s(literal 64 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (-.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (/.f64 (.f64 (*.f64 i #s(literal 8 binary64)) #s(literal -2 binary64)) i)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) (neg.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (.f64 i i) #s(literal 64 binary64))) (-.f64 (/.f64 #s(literal -2 binary64) i) (.f64 i #s(literal 8 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i)) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 512 binary64) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) i) (-.f64 (/.f64 #s(literal -2 binary64) i) (.f64 i #s(literal 8 binary64))) (.f64 (*.f64 i i) #s(literal 64 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 i i))))) (neg.f64 (neg.f64 (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (.f64 i i) #s(literal 64 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -2 binary64) i) (.f64 i #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))) (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))) (fma.f64 (/.f64 (/.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 4 binary64) (.f64 i i)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))) (.f64 (/.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))) #s(literal -1 binary64))
(.f64 (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) (fma.f64 (/.f64 #s(literal -2 binary64) i) (-.f64 (/.f64 #s(literal -2 binary64) i) (.f64 i #s(literal 8 binary64))) (.f64 (.f64 i i) #s(literal 64 binary64)))))
(.f64 (-.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) (/.f64 #s(literal 4 binary64) (.f64 i i))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) i))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64))))
(.f64 i (.f64 i #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64))))
(.f64 (.f64 i i) #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)))
(.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) (*.f64 i i))
(.f64 (.f64 i #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64))) i)
(.f64 i #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)))
(.f64 #s(approx (- -1/4 ( i i)) #s(literal -1/4 binary64)) i)
#s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i (neg.f64 i))) #s(literal 1/16 binary64))
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(fma.f64 (.f64 i (neg.f64 i)) (.f64 i i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (.f64 i (neg.f64 i)) #s(literal 1/4 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(fma.f64 (/.f64 (.f64 i i) (.f64 i #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 i i) (.f64 i #s(literal 2 binary64)))) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(fma.f64 (neg.f64 (.f64 i (.f64 i i))) i (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (neg.f64 (/.f64 (.f64 i i) (.f64 i #s(literal 2 binary64)))) (/.f64 (.f64 i i) (.f64 i #s(literal 2 binary64))) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (-.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) #s(literal -1/4 binary64))))) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (.f64 i (.f64 i (.f64 i i)))))) (-.f64 (.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (-.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (fma.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (-.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64))))
(/.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (-.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) #s(literal -1/4 binary64))))))
(/.f64 (.f64 (.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))) (neg.f64 (fma.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (-.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))) (neg.f64 (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (-.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))) (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (.f64 i (.f64 i (.f64 i i)))))))
(/.f64 (-.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64))) (-.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))) (.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (-.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))) (neg.f64 (neg.f64 (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))) (neg.f64 (fma.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (.f64 i (.f64 i (.f64 i i))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) #s(literal -1/4 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (.f64 i i) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (-.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (.f64 #s(literal 0 binary64) (-.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (fma.f64 (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) (.f64 i (.f64 i (*.f64 i i)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal -1 binary64))
(.f64 i (fma.f64 i (.f64 i (neg.f64 i)) (*.f64 i #s(literal -1/4 binary64))))
(.f64 i (fma.f64 i #s(literal -1/4 binary64) (neg.f64 (.f64 i (*.f64 i i)))))
(.f64 i (-.f64 (.f64 i #s(literal -1/4 binary64)) (.f64 i (.f64 i i))))
(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (neg.f64 (.f64 i (.f64 i i)))) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (-.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) #s(literal -1/4 binary64))) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 1/16 binary64)))))
(.f64 (.f64 (.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) 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) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (+.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i))))))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i i)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (+.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i))))))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 i i) (.f64 (.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 i (neg.f64 (.f64 i (*.f64 i i))))
(.f64 (.f64 i i) (*.f64 i (neg.f64 i)))
(.f64 #s(literal -1 binary64) (.f64 i (.f64 i (.f64 i i))))
(.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1 binary64))
(.f64 (.f64 i (*.f64 i i)) (neg.f64 i))
(.f64 (neg.f64 i) (.f64 i (*.f64 i i)))
(.f64 (.f64 i (neg.f64 i)) (*.f64 i i))
(.f64 (neg.f64 (.f64 i (*.f64 i i))) i)
(exp.f64 (*.f64 (log.f64 i) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 3/2 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)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (*.f64 #s(literal 2 binary64) (log.f64 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))
(pow.f64 (*.f64 i (neg.f64 i)) #s(literal 2 binary64))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 (.f64 i i) (*.f64 i i))
(.f64 (.f64 i (*.f64 i i)) i)
(.f64 (.f64 i (neg.f64 i)) (*.f64 i (neg.f64 i)))

eval72.0ms (0.8%)

Memory: -13.2MiB live, 178.0MiB allocated
Compiler: Compiled 10 273 to 898 computations (91.3% saved)

prune73.0ms (0.8%)

Memory

-6.7MiB live, 129.2MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	633	0	633
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	633	9	642

Accuracy

100.0%

Counts

642 → 9

Alt Table

Click to see full alt table

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

Compiler

Compiled 87 to 56 computations (35.6% saved)

simplify10.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB 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

localize24.0ms (0.3%)

Memory

7.9MiB live, 45.3MiB 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

13.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 5.0ms (73.3% of total)

ival-sub: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-35.5MiB live, 2.8MiB 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	@	inf	(/ 4 i)
0.0ms	i	@	-inf	(/ 4 i)
0.0ms	i	@	0	(/ 4 i)
0.0ms	i	@	0	(/ (/ 4 i) i)
0.0ms	i	@	inf	(/ (/ 4 i) i)

simplify257.0ms (3%)

Memory

48.7MiB live, 471.9MiB 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)

rewrite268.0ms (3.1%)

Memory

-19.3MiB live, 380.3MiB 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)))
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eval39.0ms (0.5%)

Memory: 12.0MiB live, 49.5MiB allocated
Compiler: Compiled 7 237 to 824 computations (88.6% saved)

prune71.0ms (0.8%)

Memory

-22.5MiB live, 58.6MiB 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
✓	99.9%	(/.f64 (.f64 i #s(literal 1/2 binary64)) #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))))
✓	50.7%	(/.f64 (.f64 i #s(literal 1/2 binary64)) #s(approx ( (/ 2 i) (+ (* (* i i) 4) -1)) (/.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))))
✓	51.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 #s(literal -1/4 binary64) i) i (neg.f64 (.f64 i (.f64 i (.f64 i i))))))
✓	50.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
✓	51.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
✓	50.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64)))))
✓	50.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 239 to 109 computations (54.4% saved)

regimes10.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

14 → 1

Calls

Call 1

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

Calls

2 calls:

5.0ms

4.0ms

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

Results

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

regimes6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.8%	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)

regimes11.0ms (0.1%)

Memory

-32.1MiB live, 6.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
50.4%	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)

bsearch31.0ms (0.4%)

Memory

-15.6MiB live, 22.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0006091274200652351	22564.181497698926

Samples

8.0ms

144×

valid

Compiler

Compiled 263 to 158 computations (39.9% saved)

Precisions

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

ival-mult: 3.0ms (51.9% of total)

ival-div: 2.0ms (34.6% of total)

ival-sub: 1.0ms (17.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006091274200652351	22564.181497698926

Compiler

Compiled 227 to 140 computations (38.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006091274200652351	22564.181497698926

Compiler

Compiled 173 to 104 computations (39.9% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006091274200652351	22564.181497698926

Compiler

Compiled 137 to 86 computations (37.2% saved)

simplify10.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB 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	54	334
1	77	334
2	100	334
3	111	334
4	117	334
5	118	334

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (13.1%)

Memory

-2.4MiB live, 472.9MiB allocated

Rules

15 408×	`lower-fma.f64`
15 408×	`lower-fma.f32`
10 218×	`lower-fma.f64`
10 218×	`lower-fma.f32`
5 018×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1045	396
5	2097	396
6	4072	396
7	6268	396
0	8056	384
0	10	66
0	17	50
1	75	44
2	653	32
0	8740	30
0	87	1422
1	208	1422
2	577	1354
3	1733	1316
4	4902	1316
5	7112	1316
0	8217	1283
0	33	160
0	48	156
1	226	148
2	1847	120
0	8465	118

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 221 to 101 computations (54.3% saved)

preprocess82.0ms (0.9%)

Memory: -0.7MiB live, 116.1MiB allocated
Remove: (abs i)
Compiler: Compiled 274 to 104 computations (62% 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

analyze4.0ms (0%)

sample1.2s (13.6%)

preprocess336.0ms (3.9%)

explain201.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify285.0ms (3.3%)

localize35.0ms (0.4%)

series5.0ms (0.1%)

simplify405.0ms (4.7%)

rewrite311.0ms (3.6%)

eval149.0ms (1.7%)

prune96.0ms (1.1%)

simplify513.0ms (6%)

localize150.0ms (1.7%)

series8.0ms (0.1%)

simplify378.0ms (4.4%)

rewrite498.0ms (5.8%)

eval475.0ms (5.5%)

prune228.0ms (2.6%)

simplify444.0ms (5.1%)

localize102.0ms (1.2%)

series12.0ms (0.1%)

simplify349.0ms (4.1%)

rewrite349.0ms (4%)

eval72.0ms (0.8%)

prune73.0ms (0.8%)

simplify10.0ms (0.1%)

localize24.0ms (0.3%)

series6.0ms (0.1%)

simplify257.0ms (3%)

rewrite268.0ms (3.1%)

eval39.0ms (0.5%)

prune71.0ms (0.8%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch31.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify10.0ms (0.1%)

soundness1.1s (13.1%)

preprocess82.0ms (0.9%)

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