Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze9.0ms (0.1%)

Memory

-28.8MiB live, 10.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.1s (14.5%)

Memory

58.2MiB live, 1 819.6MiB allocated

Samples

790.0ms	8 256×	0	valid
1.0ms	12×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 602.0ms

ival-mult: 309.0ms (51.4% of total)

ival-sqrt: 133.0ms (22.1% of total)

ival-sub: 82.0ms (13.6% of total)

ival-div: 55.0ms (9.1% 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

explain157.0ms (2.1%)

Memory

17.1MiB live, 496.5MiB 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

53.0ms

512×

valid

Compiler

Compiled 166 to 46 computations (72.3% saved)

Precisions

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

ival-mult: 11.0ms (35.9% of total)

ival-sqrt: 9.0ms (29.4% of total)

ival-sub: 6.0ms (19.6% of total)

ival-div: 3.0ms (9.8% of total)

exact: 1.0ms (3.3% of total)

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

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

preprocess342.0ms (4.6%)

Memory

-26.4MiB live, 313.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

1.5MiB live, 1.5MiB 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)

simplify176.0ms (2.4%)

Memory

4.9MiB live, 249.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (0.7%)

Memory

-19.6MiB live, 103.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0078125	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))
accuracy	0.01171875	(.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	0.14453125	(.f64 #s(literal 3 binary64) (.f64 v v))

Samples

24.0ms

256×

valid

Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (44.9% of total)

ival-sqrt: 4.0ms (25.6% of total)

ival-div: 2.0ms (12.8% of total)

ival-sub: 2.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

6 → 48

Calls

Call 1

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

Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<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)))))))>
#<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)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<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)))))>
#<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))))))>
#<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)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<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))))))>
#<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)))))))>
#<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))))))))>
#<alt 1>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<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)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<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))))))>
#<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)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<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)))))))>
#<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))))))))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>

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	(- 1 (* 3 (* v v)))

simplify308.0ms (4.1%)

Memory

0.6MiB live, 504.5MiB allocated

Algorithm

1×	egg-herbie

Rules

19 316×	`lower-fma.f64`
19 316×	`lower-fma.f32`
5 488×	`lower-*.f64`
5 488×	`lower-*.f32`
3 018×	`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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal 3/32 binary64) #s(literal -5/8 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 v v) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 v (*.f64 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 (.f64 v (.f64 v v)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 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))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(.f64 (.f64 v (.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 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))) (+ (* 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 v (.f64 (.f64 v v) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 v (*.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))))))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v v))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v (neg.f64 v)))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v v))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 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 (.f64 v (.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 (.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 (.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 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 (*.f64 v v) #s(literal -9/32 binary64) #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 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -27/64 binary64) #s(literal -9/32 binary64)) #s(literal -3/8 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))))))
(* 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 v (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (/.f64 #s(literal -1/32 binary64) (.f64 #s(literal -3 binary64) (.f64 (.f64 v v) (.f64 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 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (/.f64 #s(literal -1/32 binary64) (.f64 #s(literal -3 binary64) (.f64 (.f64 v v) (.f64 v v))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(neg.f64 (.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64)))))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(neg.f64 (.f64 v (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (/.f64 #s(literal -1/32 binary64) (.f64 #s(literal -3 binary64) (.f64 (.f64 v v) (.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 v (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (/.f64 #s(literal -1/32 binary64) (.f64 #s(literal -3 binary64) (.f64 (.f64 v v) (.f64 v v)))))))))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))

rewrite268.0ms (3.6%)

Memory

-19.4MiB live, 462.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	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
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 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)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(neg.f64 (/.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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #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 #s(literal 2 binary64)))) #s(literal -4 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 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 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.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 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (neg.f64 (.f64 v v)))))
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(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 27 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 27 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) #s(literal -4 binary64)))
(.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) #s(literal -4 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 v v))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (*.f64 v v))) #s(literal 1 binary64)))
(pow.f64 (.f64 #s(literal 3 binary64) (.f64 v v)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))
(.f64 #s(literal 3 binary64) (.f64 v v))
(.f64 v (.f64 #s(literal 3 binary64) v))
(.f64 v (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) v))))
(.f64 (.f64 v v) #s(literal 3 binary64))
(.f64 (.f64 v v) (exp.f64 (log.f64 #s(literal 3 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 v v)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 3 binary64) v) v)
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) v))) v)
(.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (.f64 v v))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.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 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal -1 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 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

eval61.0ms (0.8%)

Memory: 37.2MiB live, 194.2MiB allocated
Compiler: Compiled 13 936 to 1 585 computations (88.6% saved)

prune61.0ms (0.8%)

Memory

-32.4MiB live, 169.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	458	6	464
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	459	6	465

Accuracy

100.0%

Counts

465 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64))))))
▶	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64))))
▶	100.0%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	98.9%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.3%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
▶	98.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 198 to 136 computations (31.3% saved)

simplify190.0ms (2.5%)

Memory

24.7MiB live, 410.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5 994×	`lower-fma.f32`
5 988×	`lower-fma.f64`
5 846×	`lower-*.f32`
5 820×	`lower-*.f64`
2 540×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	336
0	65	328
1	122	313
2	274	311
3	680	311
4	2120	311
5	3491	311
6	6763	311
0	8262	292

Stop Event

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

Calls

Call 1

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

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

localize197.0ms (2.6%)

Memory

-7.1MiB live, 364.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))
accuracy	0.0625	(.f64 v (.f64 v (*.f64 v v)))
accuracy	0.0859375	(.f64 v (.f64 v v))
accuracy	0.09375	(.f64 v (.f64 v #s(literal -3 binary64)))
accuracy	0	(.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.015625	(.f64 (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.44756303276280496	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.01171875	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
accuracy	0.7348858588727883	#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.7520614102337654	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 v #s(literal -3 binary64))
accuracy	0.0078125	(sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))
accuracy	0.01171875	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy	0.09375	(.f64 v (.f64 v #s(literal -3 binary64)))

Samples

90.0ms

256×

valid

Compiler

Compiled 326 to 38 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 39.0ms (72.1% of total)

ival-sqrt: 5.0ms (9.2% of total)

ival-sub: 3.0ms (5.5% of total)

ival-div: 3.0ms (5.5% of total)

ival-add: 3.0ms (5.5% of total)

exact: 1.0ms (1.8% of total)

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

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

series15.0ms (0.2%)

Memory

3.7MiB live, 42.3MiB allocated

Counts

19 → 204

Calls

Call 1

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

Outputs
#<alt 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* 1/4 (* v (sqrt -6)))>
#<alt (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1/4 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<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)))))))>
#<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)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<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)))))>
#<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))))))>
#<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)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<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))))))>
#<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)))))))>
#<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))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<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)))))))>
#<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)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<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)))))>
#<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))))))>
#<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)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<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))))))>
#<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)))))))>
#<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))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<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)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<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))))))>
#<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)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<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)))))))>
#<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))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<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)))))))>
#<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)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<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)))))>
#<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))))))>
#<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)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<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))))))>
#<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)))))))>
#<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))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))>
#<alt (* -5/2 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* -5/2 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* -5/2 (pow v 2)))>
#<alt (+ 1 (* -5/2 (pow v 2)))>
#<alt (+ 1 (* -5/2 (pow v 2)))>
#<alt (* -5/2 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (* -5/2 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (+ 1 (* -1 (pow v 4)))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	v	@	-inf	(* 1/4 (* (+ (* (* v v) -5/2) 1) (sqrt 2)))
1.0ms	v	@	0	(* 1/4 (* (+ (* (* v v) -5/2) 1) (sqrt 2)))
1.0ms	v	@	inf	(* (* (sqrt (+ (* 2 (* v (* v -3))) 2)) 1/4) (- 1 (* v v)))
1.0ms	v	@	0	(* (* (sqrt (+ (* 2 (* v (* v -3))) 2)) 1/4) (- 1 (* v v)))
0.0ms	v	@	inf	(* 1/4 (* (+ (* (* v v) -5/2) 1) (sqrt 2)))

simplify413.0ms (5.5%)

Memory

16.6MiB live, 688.4MiB allocated

Algorithm

1×	egg-herbie

Rules

20 720×	`lower-fma.f64`
20 720×	`lower-fma.f32`
6 214×	`lower-+.f64`
6 214×	`lower-+.f32`
5 704×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	3490
1	939	3331
2	3409	3164
0	8034	3014

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

rewrite443.0ms (5.9%)

Memory

-9.0MiB live, 702.6MiB allocated

Rules

11 072×	`lower-fma.f32`
11 066×	`lower-fma.f64`
5 446×	`lower-*.f32`
5 420×	`lower-*.f64`
3 354×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	229
0	65	214
1	209	201
2	1335	191
0	8969	176

Stop Event

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

Counts

19 → 1 500

Calls

Call 1

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

Outputs
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(+.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))
(fma.f64 v (.f64 (.f64 v #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 v #s(literal -3 binary64)) (.f64 #s(literal 2 binary64) v) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(fma.f64 (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) v) (.f64 v #s(literal -3 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 6 binary64) (neg.f64 (*.f64 v v)) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 v (.f64 v #s(literal 3 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -6 binary64) v) v #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) v) v) #s(literal -3 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 v #s(literal -3 binary64)) #s(literal 2 binary64)) v #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 (.f64 v v))) #s(literal 3 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 v #s(literal 3 binary64))) (neg.f64 v) #s(literal 2 binary64))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)) (neg.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -6 binary64) v) (*.f64 #s(literal 2 binary64) v))))))
(neg.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)) (fma.f64 (.f64 v v) #s(literal 6 binary64) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64))) (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -6 binary64) v) (*.f64 #s(literal 2 binary64) v)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64))) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64))))) (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)) (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -6 binary64) v) (*.f64 #s(literal 2 binary64) v))))
(/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64))))))
(/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -6 binary64) v) (*.f64 #s(literal 2 binary64) v)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64))) (fma.f64 (.f64 v v) #s(literal 6 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -6 binary64) v) (*.f64 #s(literal 2 binary64) v))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (.f64 v v) #s(literal 6 binary64) #s(literal 2 binary64))))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 v (.f64 v (*.f64 v v)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))))) (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 (.f64 v (*.f64 v v)) (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (*.f64 v v)) v) #s(literal 1 binary64))))
(/.f64 (fma.f64 v (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (fma.f64 (.f64 v (.f64 v v)) (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (fma.f64 v (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (-.f64 (neg.f64 (.f64 v (.f64 v (*.f64 v v)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64)) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))))) (.f64 (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64)) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))) (.f64 (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64)) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64)) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal -1 binary64))) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (*.f64 v v)) v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 v (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64))) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (neg.f64 (fma.f64 (.f64 v (*.f64 v v)) (neg.f64 v) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 v (.f64 v v)) (neg.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) #s(literal 1 binary64)) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (*.f64 v v)) v) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (*.f64 v v)) v) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v (.f64 v (*.f64 v v)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (.f64 v v)) v) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (*.f64 v v)) v) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v (.f64 v (*.f64 v v)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1 binary64))
(.f64 (fma.f64 v v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 v v)) (fma.f64 v v #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (*.f64 v v)) v) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 v v) (*.f64 v v) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v (*.f64 v v)) v) #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (neg.f64 v) #s(literal -1 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 v)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 v v)) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (.f64 v (.f64 v (*.f64 v v)))))
(pow.f64 v #s(literal 4 binary64))
(pow.f64 (*.f64 v v) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 v v)) #s(literal 2 binary64))
(.f64 v (.f64 v (*.f64 v v)))
(.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))))
(.f64 (.f64 v v) (*.f64 v v))
(.f64 (.f64 v v) (*.f64 (neg.f64 v) (neg.f64 v)))
(.f64 (.f64 v (*.f64 v v)) v)
(.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 v v)) (neg.f64 (*.f64 v v)))
(.f64 (neg.f64 (.f64 v (*.f64 v v))) (neg.f64 v))
(.f64 (.f64 (neg.f64 (.f64 v v)) #s(literal -1 binary64)) (.f64 v v))
(.f64 (.f64 (neg.f64 v) (neg.f64 v)) (*.f64 v v))
(.f64 (.f64 v (pow.f64 v #s(literal 3/2 binary64))) (pow.f64 v #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 (*.f64 v v)) (neg.f64 v)) v)
(+.f64 #s(literal 0 binary64) (.f64 v (.f64 v #s(literal -3 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 v (.f64 v #s(literal 3 binary64))))
(neg.f64 (.f64 v (.f64 v #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -27 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) (.f64 #s(literal 0 binary64) (.f64 v (.f64 v #s(literal 3 binary64)))))))
(/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64)) (+.f64 #s(literal 0 binary64) (.f64 v (.f64 v #s(literal 3 binary64)))))
(.f64 v (.f64 v #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal -3 binary64)) v)
(.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal -3 binary64))))
(.f64 (.f64 v v) #s(literal -3 binary64))
(.f64 #s(literal 3 binary64) (neg.f64 (.f64 v v)))
(.f64 (.f64 v (*.f64 v #s(literal 3 binary64))) #s(literal -1 binary64))
(.f64 (neg.f64 (.f64 v v)) #s(literal 3 binary64))
(.f64 (.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(.f64 (neg.f64 v) (.f64 v #s(literal 3 binary64)))
(.f64 (.f64 v #s(literal 3 binary64)) (neg.f64 v))
(.f64 #s(literal -1 binary64) (.f64 v (*.f64 v #s(literal 3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 v #s(literal -3 binary64))) v)
(.f64 (.f64 (*.f64 v #s(literal 3 binary64)) #s(literal -1 binary64)) v)
(-.f64 #s(literal 0 binary64) (*.f64 v #s(literal 3 binary64)))
(neg.f64 (*.f64 v #s(literal 3 binary64)))
(*.f64 v #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) v)
(*.f64 #s(literal 3 binary64) (neg.f64 v))
(*.f64 (neg.f64 v) #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 v #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 v v)) #s(literal 3/2 binary64)))
(pow.f64 v #s(literal 3 binary64))
(pow.f64 (*.f64 v v) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 v #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 3 binary64))
(.f64 v (.f64 v v))
(.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))
(.f64 (.f64 v v) v)
(.f64 (.f64 v (*.f64 v v)) #s(literal 1 binary64))
(.f64 (.f64 v (*.f64 v v)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 v #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.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 (.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3/2 binary64))) (pow.f64 v #s(literal 3/2 binary64)))

eval377.0ms (5%)

Memory: 22.7MiB live, 626.6MiB allocated
Compiler: Compiled 58 892 to 3 115 computations (94.7% saved)

prune339.0ms (4.5%)

Memory

-12.1MiB live, 435.9MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1 904	5	1 909
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	1 909	6	1 915

Accuracy

100.0%

Counts

1 915 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
▶	100.0%	(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
▶	98.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.3%	#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))))
✓	98.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
▶	46.1%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* 1/4 (* (+ (* (* v v) -5/2) 1) (sqrt 2))) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))))

Compiler

Compiled 168 to 115 computations (31.5% saved)

simplify158.0ms (2.1%)

Memory

-7.5MiB live, 344.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
cost-diff	128	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1/4 binary64))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
cost-diff	0	(*.f64 v v)
cost-diff	0	#s(approx (* 1/4 (* (+ (* (* v v) -5/2) 1) (sqrt 2))) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))))))
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* 1/4 (* (+ (* (* v v) -5/2) 1) (sqrt 2))) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))))
cost-diff	1152	(.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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))))
cost-diff	0	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))

Rules

5 076×	`lower-fma.f32`
5 068×	`lower-fma.f64`
5 016×	`lower-*.f32`
4 996×	`lower-*.f64`
2 264×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	351
0	80	344
1	152	341
2	349	334
3	837	331
4	2087	321
5	3153	321
6	6487	321
0	8372	321

Stop Event

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

Calls

Call 1

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

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

localize166.0ms (2.2%)

Memory

7.6MiB live, 415.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.01171875	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
accuracy	0.9765625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
accuracy	0	(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.01171875	(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
accuracy	0.01953125	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.12890625	(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
accuracy	0.197597509768442	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))))
accuracy	0.44756303276280496	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* 1/4 (* (+ (* (* v v) -5/2) 1) (sqrt 2))) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))))
accuracy	33.118725083260664	(.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))
accuracy	0	(*.f64 v v)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.015625	(.f64 (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.44756303276280496	#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))))
accuracy	0	(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
accuracy	0	(*.f64 v v)
accuracy	0.0078125	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
accuracy	0.01171875	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))

Samples

100.0ms

256×

valid

Compiler

Compiled 319 to 50 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 53.0ms (67.4% of total)

ival-add: 8.0ms (10.2% of total)

ival-sqrt: 8.0ms (10.2% of total)

ival-div: 7.0ms (8.9% of total)

ival-sub: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

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

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

series20.0ms (0.3%)

Memory

-28.6MiB live, 49.1MiB allocated

Counts

21 → 240

Calls

Call 1

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

Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (+ 1/4 (* -1/4 (pow v 2)))>
#<alt (* -1/4 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* -1/4 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
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#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<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)))))))>
#<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)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
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#<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))))))>
#<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)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<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))))))>
#<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)))))))>
#<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))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
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#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt 1/4>
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#<alt (+ 1/4 (* -5/8 (pow v 2)))>
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#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
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#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* 1/4 (sqrt 2))>
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#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
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#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
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#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
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#<alt (* 1/4 (sqrt 2))>
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#<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)))))))>
#<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)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
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#<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))))))>
#<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)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<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))))))>
#<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)))))))>
#<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))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
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#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
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#<alt (* 1/4 (sqrt 2))>
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#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -1/4 (* (pow v 2) (sqrt 2)))>
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#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -1/4 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* 1/4 (* v (sqrt -6)))>
#<alt (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1/4 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2))))))>
#<alt (/ (sqrt -1/6) v)>
#<alt (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)>
#<alt (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (* -1 (/ (sqrt -1/6) v))>
#<alt (* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))>
#<alt (* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt (* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt (* 1/4 (/ (sqrt 2) (pow v 2)))>
#<alt (/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))>
#<alt (/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))>
#<alt (/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))>
#<alt (* -5/8 (sqrt 2))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (* -5/8 (sqrt 2))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt (/ 1/4 (pow v 2))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))>
#<alt (* v (sqrt -3))>
#<alt (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))>
#<alt (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))>
#<alt (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))>
#<alt (* -1 (* v (sqrt -3)))>
#<alt (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))>
#<alt (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 3/2 (pow v 2)))>
#<alt (+ 1/2 (* (pow v 2) (+ 3/2 (* 9/2 (pow v 2)))))>
#<alt (+ 1/2 (* (pow v 2) (+ 3/2 (* (pow v 2) (+ 9/2 (* 27/2 (pow v 2)))))))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))>

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(* v v)
3.0ms	v	@	inf	(sqrt (/ 1 (+ (* (* v v) -6) 2)))
1.0ms	v	@	inf	(* (* (+ (* -1/4 (* v v)) 1/4) (sqrt 2)) (sqrt (+ (* v (* v -3)) 1)))
1.0ms	v	@	0	(sqrt (/ 1 (+ (* (* v v) -6) 2)))
1.0ms	v	@	inf	(* (+ (* -1/4 (* v v)) 1/4) (sqrt (+ (* (* v v) -6) 2)))

simplify284.0ms (3.8%)

Memory

41.5MiB live, 431.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 398×	`lower-fma.f64`
11 398×	`lower-fma.f32`
6 176×	`lower-*.f64`
6 176×	`lower-*.f32`
3 566×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	497	4534
1	1516	4226
2	5482	3948
0	8072	3785

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
1/4
(+ 1/4 (* -1/4 (pow v 2)))
(+ 1/4 (* -1/4 (pow v 2)))
(+ 1/4 (* -1/4 (pow v 2)))
(* -1/4 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* -1/4 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* 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))
(+ (* -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))))))))
(* 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)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -1/4 (sqrt 2)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (* 3/8 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (+ (* -1/4 (sqrt 2)) (* (pow v 2) (+ (* -9/32 (sqrt 2)) (+ (* 3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (sqrt 2)) (* 9/32 (sqrt 2)))))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/32 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (* 1/4 (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))))
(* 1/4 (sqrt 2))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -1/4 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -1/4 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* 1/4 (sqrt 2))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(* 1/4 (* v (sqrt -6)))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1/4 (* v (sqrt -6)))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2))))))
(/ (sqrt -1/6) v)
(/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)
(/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(* -1 (/ (sqrt -1/6) v))
(* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
(* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
(* 1/4 (/ (sqrt 2) (pow v 2)))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(/ (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2))) (pow v 2))
(* -5/8 (sqrt 2))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(* -5/8 (sqrt 2))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2))))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
(/ 1/4 (pow v 2))
1
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(* v (sqrt -3))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (sqrt -3)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
1/2
(+ 1/2 (* 3/2 (pow v 2)))
(+ 1/2 (* (pow v 2) (+ 3/2 (* 9/2 (pow v 2)))))
(+ 1/2 (* (pow v 2) (+ 3/2 (* (pow v 2) (+ 9/2 (* 27/2 (pow v 2)))))))
(/ -1/6 (pow v 2))
(* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))
(/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))
(/ -1/6 (pow v 2))
(* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))
(/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))

Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (.f64 v v) (+.f64 (fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 9/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/8 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(.f64 (.f64 v (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (/.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(.f64 (.f64 v (.f64 v v)) (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))))) (/.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(.f64 (.f64 v v) (.f64 v (+.f64 (-.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))))) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (/.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (neg.f64 (.f64 v (.f64 v v))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(.f64 (+.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))))) (/.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (neg.f64 (.f64 v (.f64 v v))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(.f64 (+.f64 (-.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))))) (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (neg.f64 (.f64 v (.f64 v v))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/4 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -1/4 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -1/4 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64))
(* -1/4 (pow v 2))
(.f64 v (.f64 v #s(literal -1/4 binary64)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(.f64 v (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(.f64 v (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(.f64 v (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* -1/4 (pow v 2))
(.f64 v (.f64 v #s(literal -1/4 binary64)))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(.f64 v (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(.f64 v (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(.f64 v (.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.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 2)
(*.f64 v v)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal -27/2 binary64) (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* v (sqrt -6))
(*.f64 v (sqrt.f64 #s(literal -6 binary64)))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(.f64 v (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 v (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))))))
(* -1 (* v (sqrt -6)))
(neg.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(neg.f64 (fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 v))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))))) (neg.f64 v))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
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(/ -1/6 (pow v 2))
(/.f64 #s(literal -1/6 binary64) (*.f64 v v))
(* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))
(/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/18 binary64) (.f64 v v))) (.f64 v v))
(/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))
(/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1/54 binary64) (.f64 v v))) (.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/18 binary64) (.f64 v v))) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/162 binary64) (.f64 v v))) (.f64 (.f64 v v) (.f64 v v)))) (.f64 v v))
(/ -1/6 (pow v 2))
(/.f64 #s(literal -1/6 binary64) (*.f64 v v))
(* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))
(/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/18 binary64) (.f64 v v))) (.f64 v v))
(/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))
(/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1/54 binary64) (.f64 v v))) (.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/18 binary64) (.f64 v v))) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/162 binary64) (.f64 v v))) (.f64 (.f64 v v) (.f64 v v)))) (.f64 v v))

rewrite532.0ms (7.1%)

Memory

-147.2MiB live, 347.0MiB allocated

Rules

4 474×	`lower-fma.f32`
4 466×	`lower-fma.f64`
4 220×	`lower-/.f32`
4 214×	`lower-/.f64`
4 080×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	272
0	80	264
1	282	254
2	1940	254
0	8227	248

Stop Event

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

Counts

21 → 628

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))))
(fma.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (*.f64 v v))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (*.f64 v v))))
(fma.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal -1/16 binary64))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1/64 binary64) #s(literal 1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal -1/4 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal -1/16 binary64))) (.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1/64 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal -1/4 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/16 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1/64 binary64) #s(literal 1/64 binary64))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal -1/16 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/16 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal -1/4 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1/64 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal -1/16 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/16 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1/64 binary64) #s(literal 1/64 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal -1/16 binary64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/16 binary64)))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1/64 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal -1/16 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/16 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v)))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1/64 binary64) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/16 binary64)) (.f64 (*.f64 v v) #s(literal -1/16 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal -1/4 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1/64 binary64) #s(literal 1/64 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/16 binary64)) (.f64 (*.f64 v v) #s(literal -1/16 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/16 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal -1/4 binary64))))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (.f64 v v)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) #s(literal 1/4 binary64))
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(pow.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (.f64 v v) #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -27 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64) (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -27 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) #s(literal 3 binary64)) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -27 binary64) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64) (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -27 binary64) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) #s(literal 3 binary64)) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -27 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64) (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -27 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 3 binary64)) (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))) (/.f64 (.f64 (.f64 v v) #s(literal -12 binary64)) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (*.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))))
(-.f64 (/.f64 (.f64 v (.f64 v #s(literal -6 binary64))) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal -4 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64))) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64)))
(/.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal -4 binary64)))
(/.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal -4 binary64))))
(pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 (-.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (*.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))))
(.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal 36 binary64) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))) (-.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -12 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -12 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal -4 binary64))) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 36 binary64) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)))

eval149.0ms (2%)

Memory: 13.3MiB live, 210.2MiB allocated
Compiler: Compiled 27 774 to 2 729 computations (90.2% saved)

prune117.0ms (1.6%)

Memory

8.2MiB live, 278.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 094	1	1 095
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1 095	6	1 101

Accuracy

100.0%

Counts

1 101 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	100.0%	(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
▶	97.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	99.3%	#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))))
✓	98.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	46.1%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* 1/4 (* (+ (* (* v v) -5/2) 1) (sqrt 2))) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))))

Compiler

Compiled 81 to 57 computations (29.6% saved)

simplify201.0ms (2.7%)

Memory

15.0MiB live, 250.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64))))
cost-diff	128	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (* v v) -6) 2)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))

Rules

10 294×	`lower-fma.f64`
10 294×	`lower-fma.f32`
2 020×	`lower-+.f64`
2 020×	`lower-+.f32`
1 840×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	87
0	23	83
1	40	83
2	72	83
3	159	83
4	425	83
5	699	83
6	938	83
7	1990	83
8	2983	83
9	4340	83
10	6025	83
11	6895	83
12	7298	83
0	8084	77

Stop Event

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

Calls

Call 1

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

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

localize36.0ms (0.5%)

Memory

-13.8MiB live, 61.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 #s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64)))
accuracy	0.01171875	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy	0.7429220847428368	#s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64))
accuracy	0.9765625	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64))))

Samples

24.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 6.0ms (36.9% of total)

ival-mult: 6.0ms (36.9% of total)

ival-sqrt: 2.0ms (12.3% of total)

ival-sub: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

exact: 1.0ms (6.1% of total)

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

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

series2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (* v v) -6) 2)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))>
#<alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 #s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64)))>
#<alt #s(approx (/ 1 (+ (* (* v v) -6) 2)) #s(literal 1/2 binary64))>

Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* 1/4 (* v (sqrt -6)))>
#<alt (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1/4 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt -6)))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2))))))>
#<alt (/ (sqrt -1/6) v)>
#<alt (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)>
#<alt (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)>
#<alt (* -1 (/ (sqrt -1/6) v))>
#<alt (* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))>
#<alt (* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt (* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))>
#<alt 1/2>
#<alt (+ 1/2 (* 3/2 (pow v 2)))>
#<alt (+ 1/2 (* (pow v 2) (+ 3/2 (* 9/2 (pow v 2)))))>
#<alt (+ 1/2 (* (pow v 2) (+ 3/2 (* (pow v 2) (+ 9/2 (* 27/2 (pow v 2)))))))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))>

Calls

15 calls:

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

simplify295.0ms (3.9%)

Memory

-7.3MiB live, 435.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 962×	`lower-fma.f64`
16 962×	`lower-fma.f32`
6 516×	`lower-*.f64`
6 516×	`lower-*.f32`
3 196×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	1303
1	783	1163
2	2607	1139
3	7931	1139
0	8105	1086

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 1/4 (sqrt 2))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(* 1/4 (* v (sqrt -6)))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1/4 (* v (sqrt -6)))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2))))))
(/ (sqrt -1/6) v)
(/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)
(/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(* -1 (/ (sqrt -1/6) v))
(* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
(* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
1/2
(+ 1/2 (* 3/2 (pow v 2)))
(+ 1/2 (* (pow v 2) (+ 3/2 (* 9/2 (pow v 2)))))
(+ 1/2 (* (pow v 2) (+ 3/2 (* (pow v 2) (+ 9/2 (* 27/2 (pow v 2)))))))
(/ -1/6 (pow v 2))
(* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))
(/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))
(/ -1/6 (pow v 2))
(* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))
(/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))

Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(fma.f64 (.f64 v v) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (fma.f64 v (*.f64 v (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (/.f64 #s(literal -27/8 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/4 (* v (sqrt -6)))
(.f64 #s(literal 1/4 binary64) (.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(.f64 #s(literal 1/4 binary64) (fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(.f64 v (+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1/48 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (*.f64 v v)))))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 v (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/48 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (.f64 v v)))))))))
(* -1/4 (* v (sqrt -6)))
(.f64 (.f64 v (sqrt.f64 #s(literal -6 binary64))) #s(literal -1/4 binary64))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(.f64 #s(literal -1/4 binary64) (fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(neg.f64 (.f64 v (+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1/48 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (*.f64 v v))))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/48 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (.f64 v v)))))))) (neg.f64 v))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v v) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(fma.f64 (.f64 v v) (.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(.f64 v (.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))
(.f64 (.f64 v (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(.f64 (.f64 v (.f64 v v)) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v (.f64 v (*.f64 v v)))))))
(* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(.f64 v (.f64 (.f64 v v) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v (.f64 v (*.f64 v v)))))) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v))) (neg.f64 (.f64 v (.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2)))))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v (.f64 v (.f64 v v)))))) (neg.f64 (.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (sqrt -6)) (+ (* -1/4 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* 1/4 (/ (+ (/ 1 (sqrt -6)) (* 1/2 (/ 1 (pow (sqrt -6) 3)))) (pow v 4))) (* 1/4 (/ (- (sqrt -6) (/ 1 (sqrt -6))) (pow v 2))))))))
(.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (.f64 v (*.f64 v v))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 v (*.f64 v (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* v (sqrt -6))
(*.f64 v (sqrt.f64 #s(literal -6 binary64)))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal -1/12 binary64) (.f64 (.f64 v (.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -6 binary64)))))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal -1/12 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -6 binary64))))))))
(* -1 (* v (sqrt -6)))
(neg.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(neg.f64 (fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal -1/12 binary64) (.f64 (.f64 v (.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -6 binary64)))))) (neg.f64 v))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(.f64 v (neg.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 #s(literal -1/12 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -6 binary64)))))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2))))
(fma.f64 v (/.f64 (*.f64 v #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) (/.f64 #s(literal 135/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(/ (sqrt -1/6) v)
(/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v)
(/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (/.f64 #s(literal -1/36 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/6 binary64)) v) v))) v)
(/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -1/144 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal -1/36 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/6 binary64)) v) v)))) v)
(/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 1/72 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 #s(literal 5/1296 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) v) v))) v)
(* -1 (/ (sqrt -1/6) v))
(neg.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v))
(* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (/.f64 #s(literal -1/36 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/6 binary64)) v) v))) (neg.f64 v))
(* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal -1/144 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal -1/36 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/6 binary64)) v) v)))) (neg.f64 v))
(* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))
(neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 1/72 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 #s(literal 5/1296 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) v) v))) v))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 3/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal 3/2 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow v 2) (+ 3/2 (* 9/2 (pow v 2)))))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 9/2 binary64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow v 2) (+ 3/2 (* (pow v 2) (+ 9/2 (* 27/2 (pow v 2)))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 27/2 binary64) #s(literal 9/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))
(/ -1/6 (pow v 2))
(/.f64 #s(literal -1/6 binary64) (*.f64 v v))
(* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/18 binary64) (.f64 v v))) (.f64 v v))
(/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))
(/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1/54 binary64) (.f64 v v))) (.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))
(/.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/18 binary64) (.f64 v v))) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/162 binary64) (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))) (.f64 v v))
(/ -1/6 (pow v 2))
(/.f64 #s(literal -1/6 binary64) (*.f64 v v))
(* -1 (/ (+ 1/6 (* 1/18 (/ 1 (pow v 2)))) (pow v 2)))
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/18 binary64) (.f64 v v))) (.f64 v v))
(/ (- (* -1 (/ (+ 1/18 (* 1/54 (/ 1 (pow v 2)))) (pow v 2))) 1/6) (pow v 2))
(/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1/54 binary64) (.f64 v v))) (.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 1/54 (* 1/162 (/ 1 (pow v 2)))) (pow v 4))) (+ 1/6 (* 1/18 (/ 1 (pow v 2))))) (pow v 2))
(/.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/18 binary64) (.f64 v v))) (/.f64 (+.f64 #s(literal 1/54 binary64) (/.f64 #s(literal 1/162 binary64) (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))) (.f64 v v))

rewrite246.0ms (3.3%)

Memory

-17.1MiB live, 310.1MiB allocated

Rules

4 956×	`lower-fma.f64`
4 956×	`lower-fma.f32`
4 652×	`lower-*.f32`
4 646×	`lower-*.f64`
2 478×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	75
0	23	71
1	83	70
2	482	70
3	4134	70
0	8739	64

Stop Event

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

Counts

5 → 291

Calls

Call 1

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

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

eval42.0ms (0.6%)

Memory: -7.2MiB live, 73.1MiB allocated
Compiler: Compiled 7 571 to 1 116 computations (85.3% saved)

prune42.0ms (0.6%)

Memory

12.1MiB live, 90.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	350	1	351
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	351	6	357

Accuracy

100.0%

Counts

357 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( (* v v) -6) 2)) #s(literal 1/2 binary64))) #s(literal 4 binary64)))
✓	100.0%	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	100.0%	(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
✓	99.3%	#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))))
✓	98.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	46.1%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (* 1/4 (* (+ (* (* v v) -5/2) 1) (sqrt 2))) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))))

Compiler

Compiled 290 to 126 computations (56.6% saved)

regimes12.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms

3.0ms

(*.f64 v v)

3.0ms

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

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0.1%)

Memory

-25.9MiB live, 12.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
#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))))

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)))

2.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
99.3%	1	`v`
99.3%	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)))`
99.3%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB 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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))

Outputs
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 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
98.8%	1	`v`
98.8%	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)))`
98.8%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	67
1	35	67

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

Outputs

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

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

soundness605.0ms (8.1%)

Memory

8.4MiB live, 278.0MiB allocated

Rules

19 316×	`lower-fma.f64`
19 316×	`lower-fma.f32`
11 072×	`lower-fma.f32`
11 066×	`lower-fma.f64`
5 488×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	229
0	65	214
1	209	201
2	1335	191
0	8969	176
0	14	50
0	23	50
1	80	48
2	492	48
3	4847	48
0	8499	44
0	139	862
1	431	833
2	1700	784
3	4809	723
0	8347	691

Stop Event

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

Compiler

Compiled 114 to 70 computations (38.6% saved)

preprocess62.0ms (0.8%)

Memory: 5.9MiB live, 43.9MiB allocated
Remove: (abs v)
Compiler: Compiled 130 to 78 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze9.0ms (0.1%)

sample1.1s (14.5%)

explain157.0ms (2.1%)

preprocess342.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify176.0ms (2.4%)

localize51.0ms (0.7%)

series6.0ms (0.1%)

simplify308.0ms (4.1%)

rewrite268.0ms (3.6%)

eval61.0ms (0.8%)

prune61.0ms (0.8%)

simplify190.0ms (2.5%)

localize197.0ms (2.6%)

series15.0ms (0.2%)

simplify413.0ms (5.5%)

rewrite443.0ms (5.9%)

eval377.0ms (5%)

prune339.0ms (4.5%)

simplify158.0ms (2.1%)

localize166.0ms (2.2%)

series20.0ms (0.3%)

simplify284.0ms (3.8%)

rewrite532.0ms (7.1%)

eval149.0ms (2%)

prune117.0ms (1.6%)

simplify201.0ms (2.7%)

localize36.0ms (0.5%)

series2.0ms (0%)

simplify295.0ms (3.9%)

rewrite246.0ms (3.3%)

eval42.0ms (0.6%)

prune42.0ms (0.6%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

simplify6.0ms (0.1%)

soundness605.0ms (8.1%)

preprocess62.0ms (0.8%)

end0.0ms (0%)

Profiling