Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.1s (16.8%)

Memory

15.2MiB live, 1 905.9MiB allocated

Samples

720.0ms	8 256×	0	valid
1.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 538.0ms

ival-mult: 211.0ms (39.2% of total)

ival-sqrt: 134.0ms (24.9% of total)

ival-sub: 111.0ms (20.6% of total)

ival-div: 61.0ms (11.3% of total)

exact: 12.0ms (2.2% of total)

ival-true: 5.0ms (0.9% of total)

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

Bogosity

explain236.0ms (3.7%)

Memory

32.0MiB live, 341.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))`
-	-	`(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))`
-	-	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
-	-	`(*.f64 v v)`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))`
-	-	`(sqrt.f64 #s(literal 2 binary64))`
-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))`
-	-	`#s(literal 4 binary64)`
-	-	`(.f64 #s(literal 3 binary64) (.f64 v v))`
-	-	`v`
-	-	`#s(literal 2 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

43.0ms

512×

valid

Compiler

Compiled 166 to 46 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 11.0ms (41.3% of total)

ival-sqrt: 6.0ms (22.5% of total)

ival-sub: 5.0ms (18.8% of total)

ival-div: 3.0ms (11.3% of total)

exact: 1.0ms (3.8% of total)

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

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

preprocess309.0ms (4.9%)

Memory

4.7MiB live, 159.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 438×	`lower-fma.f64`
7 438×	`lower-fma.f32`
3 206×	`lower-*.f32`
3 198×	`lower-*.f64`
1 088×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	53	38
2	168	38
3	591	38
4	1654	38
5	2972	38
6	4007	38
7	4338	38
8	4392	38
9	4452	38
10	4548	38
11	5258	38
12	6044	38
13	7156	38
14	7502	38
0	14	19
0	23	19
1	45	19
2	97	19
3	230	19
4	651	19
5	1485	19
6	2032	19
7	3628	19
8	4929	19
9	6447	19
10	7423	19
0	8047	17

Stop Event

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

Calls

Call 1

Inputs

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Outputs

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

(*.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))))

Symmetry

(abs v)

Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Status

Accuracy

Program

▶

100.0%

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify192.0ms (3%)

Memory

-12.9MiB live, 163.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
cost-diff	128	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff	384	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))

Rules

7 438×	`lower-fma.f64`
7 438×	`lower-fma.f32`
3 206×	`lower-*.f32`
3 198×	`lower-*.f64`
1 088×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
0	23	71
1	45	71
2	97	71
3	230	71
4	651	71
5	1485	71
6	2032	71
7	3628	71
8	4929	71
9	6447	71
10	7423	71
0	8047	66

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal 3 binary64) (.f64 v v))
(.f64 (.f64 v v) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 v v)
v
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize51.0ms (0.8%)

Memory

-13.8MiB live, 25.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0078125	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
accuracy	0.17578125	(.f64 #s(literal 3 binary64) (.f64 v v))

Samples

20.0ms

256×

valid

Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions

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

ival-mult: 5.0ms (38.7% of total)

ival-sqrt: 3.0ms (23.2% of total)

ival-div: 2.0ms (15.5% of total)

ival-sub: 2.0ms (15.5% 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

6.1MiB live, 6.1MiB allocated

Counts

7 → 60

Calls

Call 1

Inputs
#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -3 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -3 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -3 (pow v 2))) (taylor 0 v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (taylor 0 v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2)))))) (taylor 0 v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2))))))) (taylor 0 v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor 0 v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -3/2 (pow v 2))) (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))) (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))) (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2)))) (taylor inf v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))) (taylor inf v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))) (taylor inf v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))) (taylor inf v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow v 2)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 3)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 3)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 3)) (taylor inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* v (* (sqrt -3) (sqrt 2)))) (taylor inf v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))) (taylor inf v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))) (taylor inf v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))) (taylor inf v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* v (sqrt -3)) (taylor inf v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))) (taylor inf v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))) (taylor inf v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))) (taylor inf v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2)))) (taylor -inf v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))) (taylor -inf v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))) (taylor -inf v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))) (taylor -inf v) (#s(alt (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow v 2)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 3)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 3)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (/ 1 (pow v 2)) 3)) (taylor -inf v) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) (patch (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* v (* (sqrt -3) (sqrt 2)))) (taylor -inf v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))) (taylor -inf v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))) (taylor -inf v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))) (taylor -inf v) (#s(alt (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (patch (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal 3 binary64) (.f64 v v)) (patch (.f64 #s(literal 3 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (sqrt -3))) (taylor -inf v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))) (taylor -inf v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))) (taylor -inf v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))) (taylor -inf v) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	((/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (- 1 (* 3 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))
2.0ms	v	@	0	((/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (- 1 (* 3 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))
1.0ms	v	@	-inf	((/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (- 1 (* 3 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))

Time

Variable

Point

Expression

3.0ms

inf

((/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (- 1 (* 3 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))

2.0ms

((/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (- 1 (* 3 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))

1.0ms

-inf

((/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (- 1 (* 3 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* 3 (* v v)) (sqrt (- 1 (* 3 (* v v)))) (sqrt 2))

simplify213.0ms (3.4%)

Memory

24.7MiB live, 256.5MiB allocated

Algorithm

1×	egg-herbie

Rules

21 458×	`lower-fma.f64`
21 458×	`lower-fma.f32`
5 772×	`lower-*.f64`
5 772×	`lower-*.f32`
3 222×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1058
1	537	1029
2	2032	972
3	5887	963
0	8255	908

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
1
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
1
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* v (sqrt -3))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* -1 (* v (sqrt -3)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))

Outputs
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (.f64 v v) #s(literal 3/8 binary64))) (.f64 v v) (.f64 #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal -9/32 binary64) (.f64 v v) #s(literal -3/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(fma.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (fma.f64 #s(literal -27/64 binary64) (*.f64 v v) #s(literal -9/32 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow v 2)))
(fma.f64 #s(literal -3/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64)) (.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (.f64 v v) #s(literal -9/8 binary64)) (.f64 v v) #s(literal -3/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (.f64 (.f64 v v) v) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))) (.f64 (*.f64 v v) v))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v))) #s(literal 1/4 binary64))) (.f64 (.f64 v v) v))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 v v) v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))) v)
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(.f64 (fma.f64 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)))) v)
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(.f64 (fma.f64 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) #s(literal 1/64 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* v (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) v)
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) v)) #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) v))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) v)) #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64))))) v))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64))))) v)
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) (.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v)) #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 v v) v))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v))) #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 v v) v))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(.f64 (.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) v) (*.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) v) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal -3 binary64)) v)) #s(literal -1 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) v) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(.f64 (fma.f64 #s(literal -1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) #s(literal -1/8 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) v)
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal -1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* 3 (pow v 2))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(* -1 (* v (sqrt -3)))
(*.f64 (neg.f64 v) (sqrt.f64 #s(literal -3 binary64)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) v)) #s(literal -1 binary64) (.f64 (neg.f64 v) (sqrt.f64 #s(literal -3 binary64))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) (sqrt.f64 #s(literal -3 binary64)))) v)
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))) (sqrt.f64 #s(literal -3 binary64)))) v)

rewrite189.0ms (3%)

Memory

7.5MiB live, 240.0MiB allocated

Rules

4 304×	`lower-fma.f64`
4 304×	`lower-fma.f32`
4 064×	`lower-*.f32`
4 056×	`lower-*.f64`
2 112×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
0	23	58
1	80	56
2	492	56
3	4847	56
0	8499	51

Stop Event

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

Counts

7 → 450

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
(.f64 #s(literal 3 binary64) (.f64 v v))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal -4 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) v) (neg.f64 v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal 1 binary64))) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) v) (neg.f64 v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 (*.f64 v v) v) (neg.f64 v) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v))))
(.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v)) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v))) (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v)) #s(literal 1 binary64))) (fma.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v)) (-.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64))) #s(literal -1/4 binary64))
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64))) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (*.f64 v v) v) (neg.f64 v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) v) (neg.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64)) #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 (.f64 v v) v) (neg.f64 v) #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (fma.f64 (.f64 (.f64 v v) v) (neg.f64 v) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 v v) v) (neg.f64 v) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64))))
(.f64 (fma.f64 (.f64 (.f64 v v) v) (neg.f64 v) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))) (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 4 binary64))))
(.f64 (fma.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64))) (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal -4 binary64)))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))))
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 4 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) v) (neg.f64 v) #s(literal 1 binary64))) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) v) (.f64 (*.f64 v v) v) #s(literal 1 binary64))) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) v) (neg.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 v v) #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) v) (.f64 (*.f64 v v) v) #s(literal 1 binary64)))) #s(literal -1 binary64))
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(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (.f64 #s(literal -3 binary64) (.f64 v v))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (*.f64 v v) v) v) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (*.f64 v v) v) v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal -1 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (.f64 #s(literal -3 binary64) (.f64 v v))) #s(literal 1/4 binary64) (.f64 (log1p.f64 (.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 #s(literal -3 binary64) (.f64 v v))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (neg.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval135.0ms (2.1%)

Memory: -12.7MiB live, 197.6MiB allocated
Compiler: Compiled 15 313 to 1 755 computations (88.5% saved)

prune69.0ms (1.1%)

Memory

-5.5MiB live, 191.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	504	6	510
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	505	6	511

Accuracy

100.0%

Counts

511 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
▶	100.0%	(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.4%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.1%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.5%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
▶	99.0%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))

Compiler

Compiled 168 to 116 computations (31% saved)

simplify122.0ms (1.9%)

Memory

14.0MiB live, 130.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
cost-diff	960	(fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
cost-diff	0	(fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff	0	#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
cost-diff	0	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
cost-diff	0	(sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
cost-diff	128	(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff	320	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

5 266×	`lower-fma.f32`
5 260×	`lower-fma.f64`
2 964×	`lower-*.f32`
2 944×	`lower-*.f64`
1 486×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	302
0	58	296
1	102	296
2	218	288
3	518	288
4	1382	288
5	2150	288
6	3279	288
7	4139	288
8	5507	288
9	6789	288
0	8055	279

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
#s(literal -3/8 binary64)
(*.f64 v v)
v
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -5/8 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
v
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

Outputs
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 v v #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
#s(literal -3 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
(*.f64 v v)
v
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
#s(literal -3/8 binary64)
(*.f64 v v)
v
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 v v))
#s(literal 1 binary64)
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -5/8 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
v
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize95.0ms (1.5%)

Memory

-45.5MiB live, 136.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
accuracy	0.171875	(.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
accuracy	0.3324428020559006	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
accuracy	0	(*.f64 v v)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0078125	(.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.36946104747062586	#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
accuracy	0	(*.f64 v v)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.6062972071928062	#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
accuracy	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.6169554177524477	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
accuracy	0	(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy	0	(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
accuracy	0	(*.f64 v v)
accuracy	0	(sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))

Samples

49.0ms

256×

valid

Compiler

Compiled 264 to 34 computations (87.1% saved)

Precisions

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

ival-mult: 19.0ms (57.9% of total)

ival-sqrt: 6.0ms (18.3% of total)

ival-add: 3.0ms (9.1% of total)

ival-div: 2.0ms (6.1% of total)

ival-sub: 2.0ms (6.1% of total)

exact: 1.0ms (3% of total)

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

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

series16.0ms (0.3%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

18 → 180

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (patch (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (patch (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())

Outputs
#s(alt 2 (taylor 0 v) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -6 (pow v 2))) (taylor 0 v) (#s(alt (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))) (taylor 0 v) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))) (taylor 0 v) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))) (taylor 0 v) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (patch (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (patch (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2)))))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (patch (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2))))))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (patch (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt 2) (taylor 0 v) (#s(alt (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2)))) (taylor 0 v) (#s(alt (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2)))))) (taylor 0 v) (#s(alt (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2))))))) (taylor 0 v) (#s(alt (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt (.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))) (taylor 0 v) (#s(alt (.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))) (taylor -inf v) (#s(alt #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))) (taylor -inf v) (#s(alt #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2)))) (taylor -inf v) (#s(alt (.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))) (taylor -inf v) (#s(alt (.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))) (taylor -inf v) (#s(alt (.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))) (taylor -inf v) (#s(alt (.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (patch (.f64 #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* v (* (sqrt -3) (sqrt 2)))) (taylor -inf v) (#s(alt #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))) (taylor -inf v) (#s(alt #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))) (taylor -inf v) (#s(alt #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))) (taylor -inf v) (#s(alt #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (* (pow v 2) (sqrt 2))) (taylor -inf v) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor -inf v) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor -inf v) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor -inf v) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (* (pow v 2) (sqrt 2))) (taylor -inf v) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor -inf v) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor -inf v) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor -inf v) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (patch (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2)))) (taylor -inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))) (taylor -inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))) (taylor -inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))) (taylor -inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (* v (sqrt 2))) (taylor -inf v) (#s(alt (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (patch (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (* v (sqrt 2))) (taylor -inf v) (#s(alt (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (patch (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (* v (sqrt 2))) (taylor -inf v) (#s(alt (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (patch (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (* v (sqrt 2))) (taylor -inf v) (#s(alt (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (patch (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((* (+ (* -3 (* v v)) 1) 2) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (- 1 (* v v))) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (+ (* -3/8 (* v v)) 1/4) (sqrt 2)) (+ (* -3/8 (* v v)) 1/4) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* -5/8 (sqrt 2)) v) (* -5/8 (sqrt 2)) (* v v))

2.0ms

((* (+ (* -3 (* v v)) 1) 2) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (- 1 (* v v))) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (+ (* -3/8 (* v v)) 1/4) (sqrt 2)) (+ (* -3/8 (* v v)) 1/4) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* -5/8 (sqrt 2)) v) (* -5/8 (sqrt 2)) (* v v))

2.0ms

-inf

((* (+ (* -3 (* v v)) 1) 2) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (- 1 (* v v))) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (+ (* -3/8 (* v v)) 1/4) (sqrt 2)) (+ (* -3/8 (* v v)) 1/4) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* -5/8 (sqrt 2)) v) (* -5/8 (sqrt 2)) (* v v))

simplify227.0ms (3.6%)

Memory

3.3MiB live, 310.1MiB allocated

Algorithm

1×	egg-herbie

Rules

23 380×	`lower-fma.f64`
23 380×	`lower-fma.f32`
6 214×	`lower-*.f64`
6 214×	`lower-*.f32`
3 894×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	3894
1	583	3683
2	2247	3444
3	5927	3417
0	8040	3224

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
1/4
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* -3/8 (pow v 2)))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -5/8 (* v (sqrt 2)))
(* -5/8 (* v (sqrt 2)))
(* -5/8 (* v (sqrt 2)))
(* -5/8 (* v (sqrt 2)))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -3/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -5/8 (* v (sqrt 2)))
(* -5/8 (* v (sqrt 2)))
(* -5/8 (* v (sqrt 2)))
(* -5/8 (* v (sqrt 2)))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* -3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -3/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -5/8 (* v (sqrt 2)))
(* -5/8 (* v (sqrt 2)))
(* -5/8 (* v (sqrt 2)))
(* -5/8 (* v (sqrt 2)))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
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(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 3/8 binary64)) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 3/8 binary64)) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 3/8 binary64)) v) v)
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -5/8 binary64)) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v)) #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 v v) v))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v))) #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 v v) v))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64))))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v)))) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v)) v)
(* -5/8 (* v (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -5/8 binary64))
(* -5/8 (* v (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -5/8 binary64))
(* -5/8 (* v (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -5/8 binary64))
(* -5/8 (* v (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -5/8 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)

rewrite192.0ms (3%)

Memory

11.5MiB live, 278.9MiB allocated

Rules

12 178×	`lower-fma.f32`
12 172×	`lower-fma.f64`
6 414×	`lower-*.f32`
6 394×	`lower-*.f64`
2 502×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	241
0	58	235
1	177	229
2	1174	215
0	9355	200

Stop Event

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

Counts

18 → 748

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 2 binary64))
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 v v)

Outputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (*.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (.f64 (.f64 v v) #s(literal -6 binary64))) #s(literal 4 binary64)) (-.f64 (.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v))) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (.f64 (.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v)))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (.f64 (.f64 v v) #s(literal -6 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (.f64 (.f64 v v) #s(literal -6 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v))) (.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)) #s(literal 2 binary64))) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)))) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v #s(literal -1 binary64)))) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v))) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v #s(literal -1 binary64))) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64))) (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) v)) v #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 v v) v)) v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) v)) v #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal 9 binary64) (.f64 v v) #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 27 binary64) (.f64 v v)) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 v #s(literal -3 binary64))) v #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) v)) (neg.f64 v) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 v) v)) #s(literal 3 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal -3 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) v) (.f64 v #s(literal -3 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)) #s(literal 2 binary64))
(fma.f64 #s(literal 6 binary64) (*.f64 (neg.f64 v) v) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 3 binary64) (*.f64 v v)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 v #s(literal -3 binary64)) (.f64 v #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) v) (.f64 (neg.f64 v) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 (neg.f64 v) v) #s(literal 6 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 (neg.f64 v) v) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 v (.f64 (.f64 v #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))
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(/.f64 (fma.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) v) v) (.f64 #s(literal 25/32 binary64) (.f64 v v)))) (+.f64 #s(literal 1/8 binary64) (.f64 v (-.f64 (.f64 (.f64 #s(literal 25/32 binary64) (.f64 v v)) v) (.f64 (.f64 v #s(literal -5/8 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) v) v) (.f64 #s(literal 25/32 binary64) (.f64 v v)))) (fma.f64 #s(literal 25/32 binary64) (.f64 (.f64 (.f64 v v) v) v) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 25/32 binary64) (.f64 (*.f64 v v) v)) v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 v (-.f64 (.f64 (.f64 #s(literal 25/32 binary64) (.f64 v v)) v) (.f64 (.f64 v #s(literal -5/8 binary64)) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) v) v) (.f64 #s(literal 25/32 binary64) (.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 25/32 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/8 binary64) (.f64 v v)) #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) v) v) (.f64 #s(literal 25/32 binary64) (.f64 v v))))) (fma.f64 #s(literal 25/32 binary64) (.f64 (.f64 (.f64 v v) v) v) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 25/32 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/8 binary64)) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/8 binary64) (.f64 v v)) #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) v) v) (.f64 #s(literal 25/32 binary64) (.f64 v v)))) (neg.f64 (fma.f64 #s(literal 25/32 binary64) (.f64 (.f64 (.f64 v v) v) v) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 (.f64 (.f64 v #s(literal -5/8 binary64)) v) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 v (.f64 v #s(literal -5/8 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 v #s(literal -5/8 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 v #s(literal -5/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal -5/8 binary64) (.f64 v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) (.f64 #s(literal -5/8 binary64) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 25/32 binary64) (.f64 (.f64 v v) v)) v) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/8 binary64) (.f64 v v)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/8 binary64) (.f64 v v)) #s(literal 1/4 binary64))))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) (.f64 (.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (.f64 v v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
(fma.f64 (.f64 v v) (.f64 #s(literal 1 binary64) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 v v) (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 v v) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 v (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 v (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))))) (/.f64 (.f64 (.f64 #s(literal 25/32 binary64) (.f64 (.f64 v v) v)) v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 25/32 binary64) (.f64 (.f64 v v) v)) v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/8 binary64) (.f64 v v)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/8 binary64) (.f64 v v)) #s(literal 1/4 binary64)))))
(-.f64 (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 25/32 binary64) (.f64 (.f64 v v) v)) v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/8 binary64) (.f64 v v)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/8 binary64) (.f64 v v)) #s(literal 1/4 binary64))))))
(+.f64 (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(.f64 (.f64 (*.f64 v #s(literal -5/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -5/8 binary64) v) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 v #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 #s(literal -5/8 binary64) v)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -5/8 binary64))
(.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
(.f64 #s(literal -5/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) v))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) v))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v #s(literal -5/8 binary64)))
(.f64 v (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -5/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -5/8 binary64)))
(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(.f64 #s(literal 1 binary64) (.f64 v v))
(.f64 (.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))

eval184.0ms (2.9%)

Memory: 3.2MiB live, 255.9MiB allocated
Compiler: Compiled 26 641 to 2 178 computations (91.8% saved)

prune120.0ms (1.9%)

Memory

-1.0MiB live, 233.8MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 099	3	1 102
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	1 104	4	1 108

Accuracy

100.0%

Counts

1 108 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
▶	99.5%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
▶	99.5%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
✓	99.0%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify107.0ms (1.7%)

Memory

-3.7MiB live, 73.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v))))
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
cost-diff	128	(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))

Rules

5 938×	`lower-fma.f32`
5 932×	`lower-fma.f64`
2 822×	`lower-*.f32`
2 812×	`lower-*.f64`
1 586×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	155
0	48	152
1	97	152
2	179	152
3	347	152
4	785	150
5	1343	150
6	2216	150
7	4091	150
8	5786	150
0	8030	148

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))
#s(literal 1/4 binary64)
(.f64 #s(literal -5/8 binary64) (.f64 v v))
#s(literal -5/8 binary64)
(*.f64 v v)
v
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
(*.f64 #s(literal -5/8 binary64) v)
#s(literal -5/8 binary64)
v
#s(literal 1/4 binary64)
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 v v)
v
#s(literal 1/4 binary64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(.f64 #s(literal -5/8 binary64) (.f64 v v))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
#s(literal -5/8 binary64)
(*.f64 v v)
v
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal -5/8 binary64) v)
#s(literal -5/8 binary64)
v
#s(literal 1/4 binary64)
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) v) v #s(literal 1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 v v)
v
#s(literal 1/4 binary64)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
#s(literal -6 binary64)
#s(literal 2 binary64)

localize62.0ms (1%)

Memory

17.7MiB live, 91.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
accuracy	0	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy	0	(*.f64 v v)
accuracy	0	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
accuracy	0	(*.f64 #s(literal -5/8 binary64) v)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.3324428020559006	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.00390625	(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))
accuracy	0.11328125	(.f64 #s(literal -5/8 binary64) (.f64 v v))
accuracy	0.3324428020559006	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v)))))

Samples

45.0ms

256×

valid

Compiler

Compiled 143 to 33 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 16.0ms (53.9% of total)

ival-sqrt: 5.0ms (16.8% of total)

ival-add: 4.0ms (13.5% of total)

ival-div: 2.0ms (6.7% of total)

ival-sub: 2.0ms (6.7% of total)

exact: 1.0ms (3.4% of total)

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

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

series30.0ms (0.5%)

Memory

-24.7MiB live, 25.0MiB allocated

Counts

14 → 156

Calls

Call 1

Inputs
#s(alt (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))) (patch (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v))))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -5/8 binary64) (.f64 v v)) (patch (.f64 #s(literal -5/8 binary64) (.f64 v v)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -5/8 binary64) v) (patch (.f64 #s(literal -5/8 binary64) v) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1/4 (taylor 0 v) (#s(alt (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))) (patch (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -5/8 (pow v 2))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))) (patch (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -5/8 (pow v 2))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))) (patch (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -5/8 (pow v 2))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))) (patch (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v))))) (patch #s(approx ( (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (taylor 0 v) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/4 (taylor 0 v) (#s(alt (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -5/8 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -5/8 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -5/8 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2)))))) (taylor 0 v) (#s(alt (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2)))))) (taylor 0 v) (#s(alt (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (patch (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* v (sqrt -6))) (taylor -inf v) (#s(alt (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))) (taylor -inf v) (#s(alt (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))) (taylor -inf v) (#s(alt (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (taylor -inf v) (#s(alt (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal -5/8 binary64) (.f64 v v)) (patch (.f64 #s(literal -5/8 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal -5/8 binary64) (.f64 v v)) (patch (.f64 #s(literal -5/8 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal -5/8 binary64) (.f64 v v)) (patch (.f64 #s(literal -5/8 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (pow v 2)) (taylor -inf v) (#s(alt (.f64 #s(literal -5/8 binary64) (.f64 v v)) (patch (.f64 #s(literal -5/8 binary64) (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* -5/8 v) (taylor -inf v) (#s(alt (.f64 #s(literal -5/8 binary64) v) (patch (.f64 #s(literal -5/8 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5/8 v) (taylor -inf v) (#s(alt (.f64 #s(literal -5/8 binary64) v) (patch (.f64 #s(literal -5/8 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5/8 v) (taylor -inf v) (#s(alt (.f64 #s(literal -5/8 binary64) v) (patch (.f64 #s(literal -5/8 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -5/8 v) (taylor -inf v) (#s(alt (.f64 #s(literal -5/8 binary64) v) (patch (.f64 #s(literal -5/8 binary64) v) #<representation binary64>) () ())) ())
#s(alt (* -6 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor -inf v) (#s(alt (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (patch (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

20.0ms

inf

((+ 1/4 (* -5/8 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ 1/4 (* -5/8 (* v v)))) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (+ (* (* -5/8 v) v) 1/4) (* (+ (* -1/4 (* v v)) 1/4) (sqrt (+ (* -6 (* v v)) 2))) (+ (* -1/4 (* v v)) 1/4) (* v v) (sqrt (+ (* -6 (* v v)) 2)) (* -5/8 (* v v)) (* -5/8 v) (+ (* -6 (* v v)) 2))

2.0ms

((+ 1/4 (* -5/8 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ 1/4 (* -5/8 (* v v)))) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (+ (* (* -5/8 v) v) 1/4) (* (+ (* -1/4 (* v v)) 1/4) (sqrt (+ (* -6 (* v v)) 2))) (+ (* -1/4 (* v v)) 1/4) (* v v) (sqrt (+ (* -6 (* v v)) 2)) (* -5/8 (* v v)) (* -5/8 v) (+ (* -6 (* v v)) 2))

2.0ms

-inf

((+ 1/4 (* -5/8 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ 1/4 (* -5/8 (* v v)))) (sqrt 2) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (+ (* (* -5/8 v) v) 1/4) (* (+ (* -1/4 (* v v)) 1/4) (sqrt (+ (* -6 (* v v)) 2))) (+ (* -1/4 (* v v)) 1/4) (* v v) (sqrt (+ (* -6 (* v v)) 2)) (* -5/8 (* v v)) (* -5/8 v) (+ (* -6 (* v v)) 2))

simplify208.0ms (3.3%)

Memory

8.8MiB live, 232.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 140×	`lower-fma.f64`
17 140×	`lower-fma.f32`
5 142×	`lower-+.f64`
5 142×	`lower-+.f32`
5 104×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	2325
1	645	2237
2	2241	2111
3	6593	2111
0	8035	2024

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
1/4
(+ 1/4 (* -1/4 (pow v 2)))
(+ 1/4 (* -1/4 (pow v 2)))
(+ 1/4 (* -1/4 (pow v 2)))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* -1/4 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1/4 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))

Outputs
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (.f64 v v) #s(literal 3/8 binary64))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
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(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/12 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (*.f64 v v))))) v)
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) v))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/12 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v))))) v)
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -6 (pow v 2))
(.f64 #s(literal -6 binary64) (.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))) (*.f64 v v)) (neg.f64 v))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (.f64 (neg.f64 v) (.f64 v v)) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))) #s(literal 1/4 binary64))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(.f64 (.f64 (neg.f64 v) (.f64 v v)) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) (.f64 v v))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) (.f64 v v))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) (.f64 v v))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) v)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))) (*.f64 v v)) (neg.f64 v))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (.f64 (neg.f64 v) (.f64 v v)) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))) #s(literal 1/4 binary64))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(.f64 (.f64 (neg.f64 v) (.f64 v v)) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) (.f64 v v))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) (.f64 v v))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) (.f64 v v))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 5/8 binary64)) v) v)
(* 1/4 (* (pow v 3) (sqrt -6)))
(.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 v v) v))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(.f64 (.f64 (neg.f64 v) (.f64 v v)) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(.f64 (.f64 (neg.f64 v) (.f64 v v)) (-.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -1/48 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v))))))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) v))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(.f64 (.f64 (neg.f64 v) (.f64 v v)) (-.f64 (-.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -1/48 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v))))))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) v))))
(* -1/4 (pow v 2))
(.f64 #s(literal -1/4 binary64) (.f64 v v))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 1/4 binary64)) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 1/4 binary64)) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 v v)) #s(literal 1/4 binary64)) v) v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* -1 (* v (sqrt -6)))
(*.f64 (neg.f64 v) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) v (/.f64 v (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) v))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)) (/.f64 #s(literal -1/12 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (*.f64 v v)))))) v)
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(.f64 (neg.f64 v) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) v) v))) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/12 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v))))))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -6 (pow v 2))
(.f64 #s(literal -6 binary64) (.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v)

rewrite195.0ms (3.1%)

Memory

24.0MiB live, 293.0MiB allocated

Rules

8 826×	`lower-fma.f32`
8 820×	`lower-fma.f64`
5 548×	`lower-*.f32`
5 538×	`lower-*.f64`
3 318×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	137
0	48	134
1	183	132
2	1183	132
0	9063	130

Stop Event

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

Counts

14 → 498

Calls

Call 1

Inputs
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(sqrt.f64 #s(literal 2 binary64))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(.f64 #s(literal -5/8 binary64) (.f64 v v))
(*.f64 #s(literal -5/8 binary64) v)
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))

Outputs
(.f64 (fma.f64 #s(literal -25/64 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -125/512 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/32 binary64) (*.f64 v v)))))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -125/512 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 v v) (-.f64 (.f64 #s(literal 25/64 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) #s(literal 1/16 binary64)))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 6 binary64) (*.f64 v v) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -216 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v (-.f64 #s(literal 4 binary64) (.f64 #s(literal -12 binary64) (.f64 v v)))))))
(/.f64 (.f64 (fma.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (.f64 v v) v) v)) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v #s(literal 4 binary64)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (.f64 v v) v) v)) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) #s(literal 144 binary64)))) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal -216 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -8 binary64)) (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v (-.f64 #s(literal 4 binary64) (.f64 #s(literal -12 binary64) (*.f64 v v))))))
(/.f64 (.f64 (fma.f64 #s(literal -10077696 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 46656 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) #s(literal -1728 binary64)))) (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v (-.f64 #s(literal 4 binary64) (.f64 #s(literal -12 binary64) (*.f64 v v))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64))) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v)) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v #s(literal -4 binary64))) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -216 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (-.f64 (.f64 #s(literal 36 binary64) (*.f64 v v)) #s(literal -12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -216 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 8 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v (-.f64 #s(literal 4 binary64) (.f64 #s(literal -12 binary64) (.f64 v v))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v #s(literal -4 binary64)) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -216 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (-.f64 (.f64 #s(literal 36 binary64) (*.f64 v v)) #s(literal -12 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -216 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v (-.f64 #s(literal 4 binary64) (.f64 #s(literal -12 binary64) (.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (-.f64 (.f64 #s(literal 36 binary64) (.f64 v v)) #s(literal -12 binary64)))) (fma.f64 (.f64 #s(literal -216 binary64) (.f64 (.f64 v v) v)) (.f64 (*.f64 v v) v) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v #s(literal -4 binary64))) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -216 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v (-.f64 #s(literal 4 binary64) (.f64 #s(literal -12 binary64) (.f64 v v))))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v #s(literal -4 binary64)) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -216 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 8 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v (-.f64 #s(literal 4 binary64) (.f64 #s(literal -12 binary64) (.f64 v v)))))))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 v (*.f64 #s(literal -6 binary64) v) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))) (/.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 36 binary64) (.f64 (.f64 v v) v)) v) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))

eval115.0ms (1.8%)

Memory: 5.3MiB live, 209.5MiB allocated
Compiler: Compiled 20 390 to 1 390 computations (93.2% saved)

prune66.0ms (1%)

Memory

-23.0MiB live, 135.5MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	704	1	705
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	706	3	709

Accuracy

100.0%

Counts

709 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))

▶

99.5%

#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))

✓

99.0%

#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify132.0ms (2.1%)

Memory

11.4MiB live, 125.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))

Rules

7 340×	`lower-fma.f32`
7 338×	`lower-fma.f64`
3 260×	`lower-*.f32`
3 256×	`lower-*.f64`
1 128×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	53
0	26	53
1	53	53
2	116	53
3	267	53
4	700	53
5	1465	53
6	1987	53
7	3606	53
8	4905	53
9	6441	53
10	7450	53
0	8045	51

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(*.f64 v v)
v
#s(literal -5/8 binary64)
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64))))
(.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(*.f64 v v)
v
#s(literal -5/8 binary64)
#s(literal 1/4 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize33.0ms (0.5%)

Memory

8.1MiB live, 46.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 v v)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
accuracy	0.3324428020559006	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))

Samples

25.0ms

256×

valid

Compiler

Compiled 47 to 21 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 9.0ms (50.8% of total)

ival-sqrt: 3.0ms (16.9% of total)

ival-div: 2.0ms (11.3% of total)

ival-sub: 2.0ms (11.3% of total)

ival-add: 1.0ms (5.6% of total)

exact: 1.0ms (5.6% of total)

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

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

series4.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

5 → 48

Calls

Call 1

Inputs
#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))) (taylor 0 v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (sqrt 2)) (taylor 0 v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (taylor 0 v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (taylor 0 v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (taylor 0 v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/4 (taylor 0 v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -5/8 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -5/8 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -5/8 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor 0 v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2)))) (taylor inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))) (taylor inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))) (taylor inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))) (taylor inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (* (pow v 2) (sqrt 2))) (taylor inf v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor inf v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor inf v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor inf v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (pow v 2)) (taylor inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8)) (taylor inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8)) (taylor inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8)) (taylor inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2)))) (taylor -inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))) (taylor -inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))) (taylor -inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))) (taylor -inf v) (#s(alt #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (* (pow v 2) (sqrt 2))) (taylor -inf v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor -inf v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor -inf v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))) (taylor -inf v) (#s(alt (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/8 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8)) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8)) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8)) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* v v) -5/8) 1/4) (sqrt 2)) (+ (* (* v v) -5/8) 1/4) (* v v) (sqrt 2))

1.0ms

-inf

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* v v) -5/8) 1/4) (sqrt 2)) (+ (* (* v v) -5/8) 1/4) (* v v) (sqrt 2))

1.0ms

((* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (+ (* (* v v) -5/8) 1/4) (sqrt 2)) (+ (* (* v v) -5/8) 1/4) (* v v) (sqrt 2))

simplify251.0ms (4%)

Memory

-47.0MiB live, 255.9MiB allocated

Algorithm

1×	egg-herbie

Rules

26 930×	`lower-fma.f64`
26 930×	`lower-fma.f32`
6 936×	`lower-*.f64`
6 936×	`lower-*.f32`
2 358×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	674
1	311	624
2	1176	583
3	4827	574
4	7744	574
0	8518	534

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)

Outputs
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (.f64 v v) #s(literal 3/8 binary64)))) #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (.f64 (.f64 v v) v) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(.f64 (fma.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/4 binary64)) #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) v) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) v)
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 11/24 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/4 binary64)) (.f64 v v)) #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/4 binary64)) #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) v) v) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) v)
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (fma.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/4 binary64)) #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 11/24 binary64) (.f64 (.f64 (.f64 v v) v) v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/4 binary64))) (*.f64 v v))) v)
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) v))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* -5/8 (pow v 2))
(.f64 #s(literal -5/8 binary64) (.f64 v v))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (.f64 (.f64 v v) #s(literal 1/4 binary64)) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/4 binary64)) #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) v) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) v)
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (neg.f64 v) (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 11/24 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/4 binary64)) (.f64 v v)) #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/4 binary64)) #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) v) v) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/4 binary64)) #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 11/24 binary64) (.f64 (.f64 (.f64 v v) v) v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/4 binary64))) (*.f64 v v)))) v)
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -5/8 binary64) v))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* -5/8 (pow v 2))
(.f64 #s(literal -5/8 binary64) (.f64 v v))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)

rewrite181.0ms (2.9%)

Memory

0.5MiB live, 158.2MiB allocated

Rules

5 472×	`lower-fma.f32`
5 470×	`lower-fma.f64`
4 448×	`lower-*.f32`
4 444×	`lower-*.f64`
2 322×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	49
0	26	49
1	101	48
2	660	48
3	6410	48
0	8367	46

Stop Event

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

Counts

5 → 162

Calls

Call 1

Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(*.f64 v v)
(sqrt.f64 #s(literal 2 binary64))

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -125/512 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 v v) (-.f64 (.f64 #s(literal 25/64 binary64) (.f64 v v)) #s(literal -5/32 binary64)) #s(literal 1/16 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/16 binary64)) (.f64 (.f64 v v) #s(literal 5/32 binary64))))) (-.f64 (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/16 binary64)) (.f64 (*.f64 v v) #s(literal 5/32 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -125/512 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 15625/262144 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 5/32 binary64) #s(literal 1/16 binary64)) (fma.f64 (.f64 v v) #s(literal 5/32 binary64) #s(literal 1/16 binary64))) (fma.f64 (.f64 v v) #s(literal 5/32 binary64) #s(literal 1/16 binary64))))) (fma.f64 #s(literal 625/4096 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (.f64 v v) v) v)) (.f64 (fma.f64 (.f64 v v) #s(literal 5/32 binary64) #s(literal 1/16 binary64)) (-.f64 (fma.f64 (.f64 v v) #s(literal 5/32 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 #s(literal 25/64 binary64) (.f64 (*.f64 v v) v)) v)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -125/512 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -1/64 binary64))) (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v (fma.f64 #s(literal -5/32 binary64) (.f64 v v) #s(literal 1/16 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/16 binary64))) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -125/512 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (-.f64 (.f64 #s(literal 25/64 binary64) (.f64 v v)) #s(literal -5/32 binary64)) #s(literal 1/16 binary64))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5/8 binary64) (.f64 v v) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/16 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal -1/4 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/16 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5/8 binary64) (.f64 v v) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -125/512 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/64 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (-.f64 (.f64 #s(literal 25/64 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) #s(literal 1/16 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -125/512 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/64 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (-.f64 (.f64 #s(literal 25/64 binary64) (.f64 v v)) #s(literal -5/32 binary64)) #s(literal 1/16 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)))
(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 v v) (-.f64 (.f64 #s(literal 25/64 binary64) (.f64 v v)) #s(literal -5/32 binary64)) #s(literal 1/16 binary64)) (.f64 (fma.f64 (.f64 #s(literal -125/512 binary64) (.f64 (.f64 v v) v)) (.f64 (*.f64 v v) v) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal -1/4 binary64)) (.f64 (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (*.f64 v v) v)) v #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/16 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -125/512 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/64 binary64))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 v v) (-.f64 (.f64 #s(literal 25/64 binary64) (*.f64 v v)) #s(literal -5/32 binary64)) #s(literal 1/16 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) v)) v #s(literal -1/16 binary64)))) (fma.f64 #s(literal 5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
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(exp.f64 (.f64 (.f64 (log.f64 v) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
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(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
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(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
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eval24.0ms (0.4%)

Memory: 25.7MiB live, 25.7MiB allocated
Compiler: Compiled 5 161 to 558 computations (89.2% saved)

prune195.0ms (3.1%)

Memory

0.1MiB live, 38.8MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	210	3	213

Accuracy

100.0%

Counts

213 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))

✓

99.5%

#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))

✓

99.0%

#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))

Compiler

Compiled 175 to 70 computations (60% saved)

regimes36.0ms (0.6%)

Memory

-26.0MiB live, 12.6MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Outputs
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))

Calls

3 calls:

29.0ms

3.0ms

(*.f64 v v)

3.0ms

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes6.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -5/8 binary64) (*.f64 v v)))))
(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))

Calls

3 calls:

2.0ms

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

2.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
99.5%	1	`v`
99.5%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.5%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes4.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))

#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))

Calls

3 calls:

1.0ms

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

1.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
99.5%	1	`v`
99.5%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.5%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))

Calls

3 calls:

1.0ms

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

1.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
99.0%	1	`v`
99.0%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.0%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	96
1	41	96

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))

Outputs
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))

soundness1.0s (15.9%)

Memory

-2.9MiB live, 505.6MiB allocated

Rules

23 380×	`lower-fma.f64`
23 380×	`lower-fma.f32`
21 458×	`lower-fma.f64`
21 458×	`lower-fma.f32`
12 178×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
0	23	58
1	80	56
2	492	56
3	4847	56
0	8499	51
0	38	241
0	58	235
1	177	229
2	1174	215
0	9355	200
0	32	137
0	48	134
1	183	132
2	1183	132
0	9063	130
0	174	1058
1	537	1029
2	2032	972
3	5887	963
0	8255	908
0	185	3894
1	583	3683
2	2247	3444
3	5927	3417
0	8040	3224

Stop Event

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

Compiler

Compiled 112 to 63 computations (43.8% saved)

preprocess232.0ms (3.7%)

Memory: 11.9MiB live, 87.6MiB allocated
Remove: (abs v)
Compiler: Compiled 240 to 144 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0.1%)

sample1.1s (16.8%)

explain236.0ms (3.7%)

preprocess309.0ms (4.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify192.0ms (3%)

localize51.0ms (0.8%)

series8.0ms (0.1%)

simplify213.0ms (3.4%)

rewrite189.0ms (3%)

eval135.0ms (2.1%)

prune69.0ms (1.1%)

simplify122.0ms (1.9%)

localize95.0ms (1.5%)

series16.0ms (0.3%)

simplify227.0ms (3.6%)

rewrite192.0ms (3%)

eval184.0ms (2.9%)

prune120.0ms (1.9%)

simplify107.0ms (1.7%)

localize62.0ms (1%)

series30.0ms (0.5%)

simplify208.0ms (3.3%)

rewrite195.0ms (3.1%)

eval115.0ms (1.8%)

prune66.0ms (1%)

simplify132.0ms (2.1%)

localize33.0ms (0.5%)

series4.0ms (0.1%)

simplify251.0ms (4%)

rewrite181.0ms (2.9%)

eval24.0ms (0.4%)

prune195.0ms (3.1%)

regimes36.0ms (0.6%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify6.0ms (0.1%)

soundness1.0s (15.9%)

preprocess232.0ms (3.7%)

end0.0ms (0%)

Profiling