Metrics for Octave 3.8, jcobi/4, as called

analyze3.0ms (0%)

Memory

5.4MiB live, 5.4MiB 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)

sample987.0ms (13.2%)

Memory

6.4MiB live, 1 428.6MiB allocated

Samples

679.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 455.0ms

ival-mult: 230.0ms (50.6% of total)

ival-div: 137.0ms (30.1% of total)

ival-sub: 43.0ms (9.5% of total)

ival->: 27.0ms (5.9% of total)

exact: 14.0ms (3.1% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

preprocess351.0ms (4.7%)

Memory

0.1MiB live, 552.1MiB 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)

explain137.0ms (1.8%)

Memory

-12.0MiB live, 407.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
176	-	1	(9.846773226773165e-81)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
62	-	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	62	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	93
↳	`(*.f64 i i)`	overflow	124
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
`/.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	62	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	93
↳	`(*.f64 i i)`	overflow	124
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	62
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	62
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	55	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	82
↳	`(*.f64 i i)`	underflow	110
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	55
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	31	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	93
↳	`(*.f64 i i)`	overflow	124
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	27	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	82
↳	`(*.f64 i i)`	underflow	110

Confusion

	Predicted +	Predicted -
+	175	1
-	0	80

Precision

1.0

Recall

0.9943181818181818

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	175	0	1
-	0	0	80

Precision?

1.0

Recall?

0.9943181818181818

Freqs

test

number	freq
0	81
1	113
2	62

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 200 to 44 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 11.0ms (53.8% of total)

ival-div: 5.0ms (24.5% of total)

ival-sub: 2.0ms (9.8% 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
▶	32.4%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

32.4%

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

simplify380.0ms (5.1%)

Memory

28.8MiB live, 368.8MiB 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)

localize37.0ms (0.5%)

Memory

2.4MiB live, 85.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	99.7%	(.f64 (.f64 i i) (*.f64 i i))
✓	accuracy	76.5%	(/.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	37.9%	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

20.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (68.7% of total)

ival-div: 3.0ms (22.9% of total)

ival-sub: 1.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-20.3MiB live, 18.9MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify333.0ms (4.5%)

Memory

-7.3MiB live, 563.3MiB 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))

rewrite363.0ms (4.9%)

Memory

43.0MiB live, 460.9MiB 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)))
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(.f64 (.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/4 binary64))) i)
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(.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)))

eval97.0ms (1.3%)

Memory: -0.6MiB live, 265.9MiB allocated
Compiler: Compiled 23 419 to 1 900 computations (91.9% saved)

prune111.0ms (1.5%)

Memory

-8.3MiB live, 292.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	850	6	856
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	851	6	857

Accuracy

100.0%

Counts

857 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
	76.4%	(.f64 (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
▶	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)))))
▶	50.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
▶	50.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 106 to 70 computations (34% saved)

simplify354.0ms (4.7%)

Memory

7.5MiB live, 396.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize93.0ms (1.2%)

Memory

-26.2MiB live, 179.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	accuracy	100.0%	(*.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 i)
✓	accuracy	100.0%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	accuracy	99.9%	(.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	100.0%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 i #s(literal -1/4 binary64))
✓	accuracy	50.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
✓	accuracy	50.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	accuracy	99.6%	(/.f64 #s(literal 4 binary64) (*.f64 i i))

Samples

43.0ms

256×

valid

Compiler

Compiled 185 to 27 computations (85.4% saved)

Precisions

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

ival-mult: 13.0ms (41.6% of total)

ival-div: 11.0ms (35.2% of total)

ival-sub: 5.0ms (16% of total)

ival-add: 1.0ms (3.2% of total)

exact: 1.0ms (3.2% of total)

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

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

series10.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

simplify669.0ms (9%)

Memory

-151.6MiB live, 731.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1364
1	163	1364
2	476	1296
3	1522	1276
4	5180	1276
5	7590	1276
0	8579	1258

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite307.0ms (4.1%)

Memory

-3.1MiB live, 520.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

15 → 471

Calls

Call 1

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

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

eval140.0ms (1.9%)

Memory: 27.6MiB live, 142.5MiB allocated
Compiler: Compiled 12 159 to 1 399 computations (88.5% saved)

prune216.0ms (2.9%)

Memory

7.0MiB live, 128.9MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	712	1	713
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	713	6	719

Accuracy

100.0%

Counts

719 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	76.4%	(.f64 (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
✓	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 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
✓	50.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
✓	50.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 53 to 34 computations (35.8% saved)

simplify913.0ms (12.2%)

Memory

-0.4MiB live, 470.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

10 732×	`lower-fma.f32`
10 730×	`lower-fma.f64`
4 980×	`lower-*.f32`
4 972×	`lower-*.f64`
3 036×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	90
0	30	93
1	76	89
2	278	77
3	1345	77
4	3368	75
5	5495	75
0	8144	73

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (1.7%)

Memory

-6.2MiB live, 105.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(*.f64 i #s(literal 1/4 binary64))
✓	accuracy	99.9%	(.f64 (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
✓	accuracy	77.3%	(/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i))
✓	accuracy	51.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))

Samples

88.0ms

256×

valid

Compiler

Compiled 85 to 23 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 39.0ms (81.7% of total)

ival-div: 4.0ms (8.4% of total)

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

ival-add: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

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

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

series5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify305.0ms (4.1%)

Memory

-16.3MiB live, 514.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 600×	`lower-fma.f64`
9 600×	`lower-fma.f32`
2 596×	`lower-*.f64`
2 596×	`lower-*.f32`
2 192×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	729
1	220	729
2	596	692
3	1778	691
4	4049	691
5	6623	691
0	8147	673

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite431.0ms (5.8%)

Memory

-12.4MiB live, 587.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 880×	`lower-fma.f32`
8 878×	`lower-fma.f64`
6 362×	`lower-*.f32`
6 354×	`lower-*.f64`
3 446×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	81
0	30	80
1	145	76
2	1106	62
0	9339	62

Stop Event

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

Counts

8 → 662

Calls

Call 1

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

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

eval95.0ms (1.3%)

Memory: 15.2MiB live, 201.7MiB allocated
Compiler: Compiled 18 226 to 1 919 computations (89.5% saved)

prune146.0ms (2%)

Memory

18.9MiB live, 218.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	810	0	810
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	810	6	816

Accuracy

100.0%

Counts

816 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	76.4%	(.f64 (/.f64 i (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
✓	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 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
✓	50.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 i (.f64 i #s(literal -1/4 binary64))))
✓	50.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 136 to 66 computations (51.5% saved)

regimes7.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes8.0ms (0.1%)

Memory

-26.2MiB live, 11.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

5.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`i`
79.0%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))

Outputs

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB 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
50.5%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
50.5%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch22.0ms (0.3%)

Memory

-25.2MiB live, 25.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.001270631699465816	1036165.2287607759

Samples

8.0ms

144×

valid

Compiler

Compiled 227 to 131 computations (42.3% saved)

Precisions

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

ival-mult: 3.0ms (52.3% of total)

ival-div: 2.0ms (34.8% of total)

ival-sub: 1.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

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	0.001270631699465816	1036165.2287607759

Compiler

Compiled 173 to 95 computations (45.1% saved)

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	0.001270631699465816	1036165.2287607759

Compiler

Compiled 173 to 104 computations (39.9% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.001270631699465816	1036165.2287607759

Compiler

Compiled 137 to 86 computations (37.2% saved)

simplify9.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	302
1	54	302
2	67	302
3	75	302
4	80	302
5	81	302

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness724.0ms (9.7%)

Memory

-7.6MiB live, 378.6MiB allocated

Rules

15 408×	`lower-fma.f64`
15 408×	`lower-fma.f32`
5 050×	`lower-fma.f64`
5 050×	`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	30	191
0	41	167
1	174	159
2	1363	143
0	8634	135

Stop Event

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

Compiler

Compiled 178 to 83 computations (53.4% saved)

preprocess54.0ms (0.7%)

Memory: 19.7MiB live, 96.3MiB allocated
Remove: (abs i)
Compiler: Compiled 228 to 86 computations (62.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

sample987.0ms (13.2%)

preprocess351.0ms (4.7%)

explain137.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify380.0ms (5.1%)

localize37.0ms (0.5%)

series8.0ms (0.1%)

simplify333.0ms (4.5%)

rewrite363.0ms (4.9%)

eval97.0ms (1.3%)

prune111.0ms (1.5%)

simplify354.0ms (4.7%)

localize93.0ms (1.2%)

series10.0ms (0.1%)

simplify669.0ms (9%)

rewrite307.0ms (4.1%)

eval140.0ms (1.9%)

prune216.0ms (2.9%)

simplify913.0ms (12.2%)

localize127.0ms (1.7%)

series5.0ms (0.1%)

simplify305.0ms (4.1%)

rewrite431.0ms (5.8%)

eval95.0ms (1.3%)

prune146.0ms (2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch22.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify9.0ms (0.1%)

soundness724.0ms (9.7%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling