Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB 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)

sample1.6s (24.1%)

Memory

19.5MiB live, 1 239.6MiB allocated

Samples

1.2s	8 256×	0	valid
1.0ms	13×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 615.0ms

ival-mult: 262.0ms (42.6% of total)

ival-sqrt: 133.0ms (21.6% of total)

ival-sub: 107.0ms (17.4% of total)

ival-div: 90.0ms (14.6% of total)

exact: 14.0ms (2.3% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain263.0ms (3.8%)

Memory

-14.2MiB live, 276.5MiB 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

84.0ms

512×

valid

Compiler

Compiled 166 to 46 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-sub: 28.0ms (41.3% of total)

ival-mult: 28.0ms (41.3% of total)

ival-sqrt: 7.0ms (10.3% of total)

ival-div: 3.0ms (4.4% of total)

exact: 1.0ms (1.5% of total)

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

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

preprocess355.0ms (5.2%)

Memory

6.8MiB live, 244.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 719×	`lower-fma.f64`
3 719×	`lower-fma.f32`
1 603×	`lower-*.f32`
1 599×	`lower-*.f64`
544×	`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 (*.f64 #s(literal -3 binary64) 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

1.4MiB live, 1.4MiB 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)

simplify213.0ms (3.1%)

Memory

-16.0MiB live, 144.5MiB 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

3 719×	`lower-fma.f64`
3 719×	`lower-fma.f32`
1 603×	`lower-*.f32`
1 599×	`lower-*.f64`
544×	`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 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) 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 (*.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
(fma.f64 (*.f64 #s(literal -3 binary64) 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))
(fma.f64 (neg.f64 v) v #s(literal 1 binary64))

localize51.0ms (0.7%)

Memory

23.6MiB live, 61.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.00390625	(.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	0.00390625	(.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)))
accuracy	0.1328125	(.f64 #s(literal 3 binary64) (.f64 v v))

Samples

38.0ms

256×

valid

Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions

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

ival-mult: 21.0ms (71.1% of total)

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

ival-div: 2.0ms (6.8% of total)

ival-sub: 2.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

6 → 48

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 #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 (* -1/4 (* (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 (* 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 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 (* -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 (* -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 (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 (* 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 (* -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 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 (* 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 (* 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>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms	v	@	0	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0ms	v	@	-inf	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0ms	v	@	inf	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0ms	v	@	inf	(* 3 (* v v))

simplify497.0ms (7.3%)

Memory

-24.7MiB live, 281.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 658×	`lower-fma.f64`
9 658×	`lower-fma.f32`
2 744×	`lower-*.f64`
2 744×	`lower-*.f32`
1 509×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	862
1	431	833
2	1700	784
3	4809	723
0	8347	691

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

rewrite319.0ms (4.7%)

Memory

-23.0MiB live, 168.2MiB allocated

Rules

2 152×	`lower-fma.f64`
2 152×	`lower-fma.f32`
2 032×	`lower-*.f32`
2 028×	`lower-*.f64`
1 056×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
0	23	50
1	80	48
2	492	48
3	4847	48
0	8499	44

Stop Event

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

Counts

6 → 416

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

eval157.0ms (2.3%)

Memory: 17.4MiB live, 97.8MiB allocated
Compiler: Compiled 13 936 to 1 589 computations (88.6% saved)

prune200.0ms (2.9%)

Memory

5.0MiB live, 116.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	459	5	464
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	460	5	465

Accuracy

100.0%

Counts

465 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) 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 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
▶	100.0%	(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 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)))
▶	99.6%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
▶	99.1%	#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 152 to 108 computations (28.9% saved)

simplify243.0ms (3.6%)

Memory

-6.7MiB live, 123.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (*.f64 v v) v) (neg.f64 v) #s(literal 1 binary64)))
cost-diff	320	(.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	1856	(/.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) 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 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
cost-diff	0	(fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -5/2 binary64) (.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
cost-diff	320	(.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
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 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (fma.f64 (*.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

2 866×	`lower-fma.f32`
2 862×	`lower-fma.f64`
2 487×	`lower-*.f32`
2 475×	`lower-*.f64`
805×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	331
0	66	318
1	130	312
2	294	300
3	807	298
4	2124	298
5	3553	298
6	6610	298
0	8117	284

Stop Event

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

Calls

Call 1

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

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

localize282.0ms (4.1%)

Memory

6.7MiB live, 164.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (*.f64 v v) v) (neg.f64 v) #s(literal 1 binary64)))
accuracy	0.00390625	(sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	0.01171875	(/.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) 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 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))
accuracy	0.09375	(.f64 (.f64 v v) v)
accuracy	0	(*.f64 v v)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.00390625	(.f64 (fma.f64 #s(literal -5/2 binary64) (.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.2641766694502624	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (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	0.00390625	(.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	0.5552718042501366	#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	0.5691970574581061	#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 v v)
accuracy	0	(*.f64 #s(literal -3 binary64) v)
accuracy	0.00390625	(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy	0.00390625	(sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)))

Samples

154.0ms

256×

valid

Compiler

Compiled 325 to 39 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 71.0ms (80.8% of total)

ival-add: 5.0ms (5.7% of total)

ival-sqrt: 5.0ms (5.7% of total)

ival-div: 3.0ms (3.4% of total)

ival-sub: 2.0ms (2.3% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series37.0ms (0.5%)

Memory

-11.0MiB live, 26.8MiB allocated

Counts

18 → 192

Calls

Call 1

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

Outputs
#s(alt 2 (taylor 0 v) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (pow v 2)) (taylor inf v) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor inf v) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor inf v) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor inf v) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (pow v 2)) (taylor -inf v) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor -inf v) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor -inf v) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) (taylor -inf v) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -3 binary64) v) v #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (.f64 (fma.f64 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) 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 (.f64 #s(literal -3 binary64) 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>) () ())) ())
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#s(alt (pow v 3) (taylor 0 v) (#s(alt (.f64 (.f64 v v) v) (patch (.f64 (.f64 v v) v) #<representation binary64>) () ())) ())
#s(alt (pow v 3) (taylor 0 v) (#s(alt (.f64 (.f64 v v) v) (patch (.f64 (.f64 v v) v) #<representation binary64>) () ())) ())
#s(alt (pow v 3) (taylor inf v) (#s(alt (.f64 (.f64 v v) v) (patch (.f64 (.f64 v v) v) #<representation binary64>) () ())) ())
#s(alt (pow v 3) (taylor inf v) (#s(alt (.f64 (.f64 v v) v) (patch (.f64 (.f64 v v) v) #<representation binary64>) () ())) ())
#s(alt (pow v 3) (taylor inf v) (#s(alt (.f64 (.f64 v v) v) (patch (.f64 (.f64 v v) v) #<representation binary64>) () ())) ())
#s(alt (pow v 3) (taylor inf v) (#s(alt (.f64 (.f64 v v) v) (patch (.f64 (.f64 v v) v) #<representation binary64>) () ())) ())
#s(alt (pow v 3) (taylor -inf v) (#s(alt (.f64 (.f64 v v) v) (patch (.f64 (.f64 v v) v) #<representation binary64>) () ())) ())
#s(alt (pow v 3) (taylor -inf v) (#s(alt (.f64 (.f64 v v) v) (patch (.f64 (.f64 v v) v) #<representation binary64>) () ())) ())
#s(alt (pow v 3) (taylor -inf v) (#s(alt (.f64 (.f64 v v) v) (patch (.f64 (.f64 v v) v) #<representation binary64>) () ())) ())
#s(alt (pow v 3) (taylor -inf v) (#s(alt (.f64 (.f64 v v) v) (patch (.f64 (.f64 v v) v) #<representation binary64>) () ())) ())

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(/ (* (sqrt (* (+ (* (* -3 v) v) 1) 2)) (+ (* (* (* v v) v) (neg v)) 1)) (* (+ (* v v) 1) 4))
1.0ms	v	@	0	(* (* (+ (* -5/2 (* v v)) 1) (sqrt 2)) 1/4)
0.0ms	v	@	inf	(* (* (+ (* -5/2 (* v v)) 1) (sqrt 2)) 1/4)
0.0ms	v	@	inf	(* (sqrt (* (+ (* (* -3 v) v) 1) 2)) (+ (* (* (* v v) v) (neg v)) 1))
0.0ms	v	@	inf	(* (+ (* (* -3 v) v) 1) 2)

simplify291.0ms (4.3%)

Memory

44.1MiB live, 459.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 597×	`lower-fma.f64`
11 597×	`lower-fma.f32`
3 096×	`lower-+.f64`
3 096×	`lower-+.f32`
2 713×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	3961
1	734	3786
2	2887	3505
0	8095	3313

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(* -6 (pow v 2))
(.f64 (.f64 #s(literal -6 binary64) v) v)
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))
(* -6 (pow v 2))
(.f64 (.f64 #s(literal -6 binary64) v) v)
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 6 binary64)) (*.f64 v v))
(* 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))))
(+ (* 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 #s(literal 1/4 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (.f64 v v) #s(literal 3/8 binary64)))) v) v (.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 (.f64 (.f64 v v) v) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 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 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 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))) (* 1/2 (/ (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 (+.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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 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 (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 (/.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 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))) (.f64 (.f64 v 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 (neg.f64 (.f64 v v)) (.f64 v (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 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))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (neg.f64 (.f64 v v)) (.f64 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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 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 (neg.f64 (.f64 v v)) (.f64 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 (/.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 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 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 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -9/32 binary64) v) v #s(literal -3/8 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 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 (.f64 #s(literal -27/64 binary64) v) v #s(literal -9/32 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) v)) (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 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v 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 #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 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 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 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))) v)
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal -3 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))))))
(.f64 (neg.f64 v) (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))))
(* -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 (neg.f64 v) (fma.f64 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v 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 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) 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 (neg.f64 v) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 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 #s(literal 1/96 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(.f64 (fma.f64 (.f64 #s(literal -3/2 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -9/8 binary64) v) v #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -3/2 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -27/16 binary64) v) v #s(literal -9/8 binary64))) (.f64 v v)) (*.f64 v v)))
(* v (* (sqrt -3) (sqrt 2)))
(.f64 (.f64 v (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))) v)
(* 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)))))
(.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)))) v)
(* 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))))))
(.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/16 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 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))) v)
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (neg.f64 v) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(.f64 (neg.f64 v) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))
(* -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))))))
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(* -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 (.f64 v v)) (.f64 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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 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 (neg.f64 (.f64 v v)) (.f64 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 (/.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 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(.f64 (fma.f64 (.f64 #s(literal -3/2 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (.f64 v v) #s(literal -17/8 binary64))) (.f64 v v) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))) (pow.f64 v #s(literal 5 binary64)))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)))) (pow.f64 v #s(literal 5 binary64)))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 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 -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))) (pow.f64 v #s(literal 5 binary64)))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
(.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 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 -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -3 binary64))))))))) (pow.f64 v #s(literal 5 binary64)))
(* -3 v)
(*.f64 #s(literal -3 binary64) v)
(* -3 v)
(*.f64 #s(literal -3 binary64) v)
(* -3 v)
(*.f64 #s(literal -3 binary64) v)
(* -3 v)
(*.f64 #s(literal -3 binary64) v)
(* -3 v)
(*.f64 #s(literal -3 binary64) v)
(* -3 v)
(*.f64 #s(literal -3 binary64) v)
(* -3 v)
(*.f64 #s(literal -3 binary64) v)
(* -3 v)
(*.f64 #s(literal -3 binary64) v)
(* -3 v)
(*.f64 #s(literal -3 binary64) v)
(* -3 v)
(*.f64 #s(literal -3 binary64) v)
(* -3 v)
(*.f64 #s(literal -3 binary64) v)
(* -3 v)
(*.f64 #s(literal -3 binary64) 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)
(pow v 2)
(*.f64 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)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)

rewrite243.0ms (3.6%)

Memory

-5.8MiB live, 462.7MiB allocated

Rules

4 258×	`lower-fma.f32`
4 254×	`lower-fma.f64`
2 121×	`lower-*.f32`
2 109×	`lower-*.f64`
1 778×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	230
0	66	213
1	215	207
2	1470	207
0	8565	203

Stop Event

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

Counts

18 → 1 202

Calls

Call 1

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

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

eval226.0ms (3.3%)

Memory: -1.0MiB live, 402.6MiB allocated
Compiler: Compiled 46 092 to 2 598 computations (94.4% saved)

prune190.0ms (2.8%)

Memory

-30.6MiB live, 347.1MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 637	3	1 640
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	1 641	4	1 645

Accuracy

100.0%

Counts

1 645 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) (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)))
▶	100.0%	(.f64 (.f64 (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.6%	#s(approx (/ (* (sqrt (* (+ (* (* -3 v) v) 1) 2)) (+ (* (* (* v v) v) (neg v)) 1)) (* (+ (* v v) 1) 4)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
✓	99.1%	#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 60 to 41 computations (31.7% saved)

simplify131.0ms (1.9%)

Memory

8.0MiB live, 160.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
cost-diff	0	(.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) (fma.f64 (.f64 (*.f64 v v) v) (neg.f64 v) #s(literal 1 binary64)))
cost-diff	1856	(/.f64 (.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) (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)))
cost-diff	0	#s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
cost-diff	0	(.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 1/4 binary64))
cost-diff	128	(.f64 (.f64 (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
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 (* (+ (* (* -3 v) v) 1) 2)) (+ (* (* (* v v) v) (neg v)) 1)) (* (+ (* v v) 1) 4)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))

Rules

3 127×	`lower-fma.f32`
3 123×	`lower-fma.f64`
2 466×	`lower-*.f32`
2 457×	`lower-*.f64`
618×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	297
0	63	288
1	131	280
2	288	247
3	772	247
4	1633	247
5	2728	242
6	5883	242
0	8047	239

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.4%)

Memory

24.5MiB live, 177.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) (fma.f64 (.f64 (*.f64 v v) v) (neg.f64 v) #s(literal 1 binary64)))
accuracy	0.00390625	(sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
accuracy	0.01171875	(/.f64 (.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) (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)))
accuracy	0.09375	(.f64 (.f64 v v) v)
accuracy	0	(*.f64 #s(literal -6 binary64) v)
accuracy	0	#s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))
accuracy	0.00390625	(.f64 (.f64 (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
accuracy	0.00390625	(sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))))
accuracy	0	(*.f64 #s(literal -5/8 binary64) v)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.00390625	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
accuracy	0.2641766694502624	#s(approx (/ (* (sqrt (* (+ (* (* -3 v) v) 1) 2)) (+ (* (* (* v v) v) (neg v)) 1)) (* (+ (* v v) 1) 4)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))

Samples

59.0ms

256×

valid

Compiler

Compiled 245 to 35 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 27.0ms (66.6% of total)

ival-add: 6.0ms (14.8% of total)

ival-sqrt: 3.0ms (7.4% of total)

ival-div: 1.0ms (2.5% of total)

ival-sub: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

series10.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

13 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(* (sqrt 2) (+ (* (* -5/8 v) v) 1/4))
0.0ms	v	@	inf	(* (sqrt 2) (+ (* (* -5/8 v) v) 1/4))
0.0ms	v	@	-inf	(* -6 v)
0.0ms	v	@	-inf	(* -5/8 v)
0.0ms	v	@	inf	(* -5/8 v)

simplify264.0ms (3.9%)

Memory

1.0MiB live, 438.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 019×	`lower-fma.f64`
11 019×	`lower-fma.f32`
2 947×	`lower-+.f64`
2 947×	`lower-+.f32`
2 629×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	2689
1	718	2572
2	2835	2384
0	8150	2265

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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 (* (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))))
(* -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 (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)))
(* -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) (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
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (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))
(* -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 (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 (* (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))))
(* -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 (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 (* 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 (* 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))))))))
(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)))))))
(* 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 (* 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)))))))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (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))
(* -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 (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 (* (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))))
(* -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))))))))
(sqrt 2)
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -5/8 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 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))))))
(.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))))
(+ (* 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 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 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)))))
(.f64 (fma.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 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 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))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(.f64 (fma.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) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 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 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 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 (/.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 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v)) v)
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (.f64 (.f64 (*.f64 v v) #s(literal 1/4 binary64)) v) (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 (.f64 (neg.f64 v) (.f64 v v)) (fma.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 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 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))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (neg.f64 (fma.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) (.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) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 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 (/.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 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v)) (neg.f64 v))
(* 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 #s(literal -5/8 binary64) v) v #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 #s(literal -5/8 binary64) v) v #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 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) v) v)
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) v) v)
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 5/8 binary64))) v) v)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
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(+ (* 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))))
(+ (* 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 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 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)))))
(.f64 (fma.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 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 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))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(.f64 (fma.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) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 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 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 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 (/.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 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v)) v)
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (.f64 (.f64 (*.f64 v v) #s(literal 1/4 binary64)) v) (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 (.f64 (neg.f64 v) (.f64 v v)) (fma.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 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 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))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (neg.f64 (fma.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) (.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) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 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 (/.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 (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 v v)) (neg.f64 v))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))
(.f64 (fma.f64 (.f64 #s(literal -3/2 binary64) v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* -1 (sqrt 2)))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -17/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 3/2 (sqrt 2))))))))))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -3/16 binary64) (.f64 v v) #s(literal -17/8 binary64))) (.f64 v v) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow v 5) (* (sqrt -3) (sqrt 2))))
(.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3))))))
(.f64 (fma.f64 (neg.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) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)))) (pow.f64 v #s(literal 5 binary64)))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))
(.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (neg.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) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))) (pow.f64 v #s(literal 5 binary64)))
(* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4))))))))
(.f64 (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 -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))) (pow.f64 v #s(literal 5 binary64)))
(* (pow v 5) (* (sqrt -3) (sqrt 2)))
(.f64 (pow.f64 v #s(literal 5 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (fma.f64 (neg.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) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (neg.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) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))))
(* -1 (* (pow v 5) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 6) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 4)))))))))
(.f64 (neg.f64 (pow.f64 v #s(literal 5 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 -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))))
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -5/8 v)
(*.f64 #s(literal -5/8 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)
(pow v 3)
(.f64 (.f64 v v) v)

rewrite211.0ms (3.1%)

Memory

-3.7MiB live, 369.5MiB allocated

Rules

2 251×	`lower-*.f32`
2 251×	`lower-/.f32`
2 250×	`lower-/.f64`
2 242×	`lower-*.f64`
2 008×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	203
0	63	188
1	219	179
2	1492	179
0	8339	172

Stop Event

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

Counts

13 → 544

Calls

Call 1

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

Outputs
#s(approx (/ (* (sqrt (* (+ (* (* -3 v) v) 1) 2)) (+ (* (* (* v v) v) (neg v)) 1)) (* (+ (* v v) 1) 4)) (.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 25/64 binary64) (.f64 (.f64 (.f64 v v) v) v) #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal -1/4 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -125/512 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 v v)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 25/64 binary64) (.f64 (.f64 (.f64 v v) v) v) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (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 (.f64 v v) #s(literal -5/8 binary64) #s(literal -1/4 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 v) v) (.f64 v v) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (.f64 v v) v) v) #s(literal -1 binary64)) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 v) v) (.f64 v v) #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (*.f64 v v) v) v) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (.f64 v v) v) v) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) v) v))) (.f64 (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (.f64 v v) v) v)) (.f64 (.f64 (neg.f64 v) v) (*.f64 v v)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 v v)) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 (.f64 (.f64 (.f64 v v) v) v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (neg.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 (.f64 (.f64 (.f64 v v) v) v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (-.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 v v)) (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))) (fma.f64 (.f64 (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) (.f64 (.f64 (.f64 v v) v) v)) (.f64 (.f64 (neg.f64 v) v) (.f64 v v))) (.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))))
(neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 (neg.f64 v) v) (.f64 v v) #s(literal 1 binary64))) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(fma.f64 (.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 v)) (.f64 (.f64 v v) v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (.f64 v v) v)) (neg.f64 v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 v v)) (.f64 (neg.f64 v) v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 v v)) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) v) (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 v v)) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 v) (.f64 (.f64 (.f64 v v) v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 v v) v) (.f64 (neg.f64 v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (.f64 v v) (.f64 (.f64 (neg.f64 v) v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 v) v) (.f64 v v)) (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 v v)) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 v v)) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 v v) v) v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (.f64 (.f64 (.f64 (.f64 v v) v) v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))) (fma.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 v v)) (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))) (/.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 v v)) (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (fma.f64 (.f64 (neg.f64 v) v) (.f64 v v) #s(literal 1 binary64))) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(-.f64 (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (.f64 v v) v) v) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 v v)) (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (neg.f64 v) v) (.f64 v v)) (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal -5/8 binary64) v)
(*.f64 v #s(literal -5/8 binary64))
(*.f64 #s(literal -6 binary64) v)
(*.f64 v #s(literal -6 binary64))
(.f64 (pow.f64 (.f64 v v) #s(literal 3/4 binary64)) (pow.f64 (*.f64 v v) #s(literal 3/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 (*.f64 v v) v))
(*.f64 (pow.f64 v #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 v v) v) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 v v) v) #s(literal 1 binary64))
(.f64 (.f64 v v) v)
(.f64 v (.f64 v v))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 3 binary64))
(pow.f64 (pow.f64 v #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 3/2 binary64))
(pow.f64 v #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 3 binary64)))

eval102.0ms (1.5%)

Memory: 17.5MiB live, 232.5MiB allocated
Compiler: Compiled 27 040 to 1 331 computations (95.1% saved)

prune74.0ms (1.1%)

Memory

-4.5MiB live, 197.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	742	0	742
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	742	4	746

Accuracy

100.0%

Counts

746 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) (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)))
✓	100.0%	(.f64 (.f64 (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.6%	#s(approx (/ (* (sqrt (* (+ (* (* -3 v) v) 1) 2)) (+ (* (* (* v v) v) (neg v)) 1)) (* (+ (* v v) 1) 4)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
✓	99.1%	#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 202 to 88 computations (56.4% saved)

regimes10.0ms (0.1%)

Memory

-18.3MiB live, 21.1MiB allocated

Counts

9 → 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 (* (+ (* (* -3 v) v) 1) 2)) (+ (* (* (* v v) v) (neg v)) 1)) (* (+ (* v v) 1) 4)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #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))))) (- 1 (* v v))) (.f64 (.f64 (fma.f64 #s(literal -5/2 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 #s(approx (* (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) 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)))
(/.f64 (.f64 (sqrt.f64 #s(approx ( (+ (* (* -3 v) v) 1) 2) (fma.f64 (.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64)))) (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 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) 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 (fma.f64 v v #s(literal 1 binary64)) #s(literal 4 binary64)))

Outputs

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

Calls

3 calls:

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)))

3.0ms

(*.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

10.0MiB live, 10.0MiB allocated

Counts

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

Outputs

#s(approx (/ (* (sqrt (* (+ (* (* -3 v) v) 1) 2)) (+ (* (* (* v v) v) (neg v)) 1)) (* (+ (* v v) 1) 4)) (*.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:

2.0ms

(*.f64 v v)

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)))

Results

Accuracy	Segments	Branch
99.6%	1	`v`
99.6%	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)))`
99.6%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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
99.1%	1	`v`
99.1%	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)))`
99.1%	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

8×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	88
1	60	88
2	67	88
3	71	88
4	73	88

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

soundness640.0ms (9.4%)

Memory

-22.9MiB live, 326.5MiB allocated

Rules

11 597×	`lower-fma.f64`
11 597×	`lower-fma.f32`
9 658×	`lower-fma.f64`
9 658×	`lower-fma.f32`
3 096×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	862
1	431	833
2	1700	784
3	4809	723
0	8347	691
0	14	50
0	23	50
1	80	48
2	492	48
3	4847	48
0	8499	44
0	226	3961
1	734	3786
2	2887	3505
0	8095	3313

Stop Event

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

Compiler

Compiled 54 to 36 computations (33.3% saved)

preprocess58.0ms (0.9%)

Memory: 14.6MiB live, 52.8MiB allocated
Remove: (abs v)
Compiler: Compiled 206 to 136 computations (34% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0.1%)

sample1.6s (24.1%)

explain263.0ms (3.8%)

preprocess355.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify213.0ms (3.1%)

localize51.0ms (0.7%)

series7.0ms (0.1%)

simplify497.0ms (7.3%)

rewrite319.0ms (4.7%)

eval157.0ms (2.3%)

prune200.0ms (2.9%)

simplify243.0ms (3.6%)

localize282.0ms (4.1%)

series37.0ms (0.5%)

simplify291.0ms (4.3%)

rewrite243.0ms (3.6%)

eval226.0ms (3.3%)

prune190.0ms (2.8%)

simplify131.0ms (1.9%)

localize96.0ms (1.4%)

series10.0ms (0.1%)

simplify264.0ms (3.9%)

rewrite211.0ms (3.1%)

eval102.0ms (1.5%)

prune74.0ms (1.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

simplify6.0ms (0.1%)

soundness640.0ms (9.4%)

preprocess58.0ms (0.9%)

end0.0ms (0%)

Profiling