Metrics for Falkner and Boettcher, Appendix B, 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.4s (20.6%)

Memory

-218.3MiB live, 1 740.2MiB allocated

Samples

975.0ms	8 256×	0	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 745.0ms

ival-sqrt: 312.0ms (41.9% of total)

ival-mult: 251.0ms (33.7% of total)

ival-sub: 94.0ms (12.6% of total)

ival-div: 63.0ms (8.5% of total)

exact: 15.0ms (2% of total)

ival-true: 6.0ms (0.8% of total)

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

Bogosity

explain159.0ms (2.4%)

Memory

32.8MiB live, 388.4MiB 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

52.0ms

512×

valid

Compiler

Compiled 236 to 60 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 17.0ms (48.7% of total)

ival-sqrt: 7.0ms (20% of total)

ival-sub: 5.0ms (14.3% of total)

ival-div: 4.0ms (11.5% of total)

ival-true: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

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

preprocess319.0ms (4.8%)

Memory

-15.0MiB live, 229.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs v)

Compiler

Compiled 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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 19 to 14 computations (26.3% saved)

simplify128.0ms (1.9%)

Memory

6.0MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.8%)

Memory

-8.1MiB live, 76.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
accuracy	0.01953125	(.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	0.01953125	(.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	0.19140625	(.f64 #s(literal 3 binary64) (.f64 v v))

Samples

43.0ms

256×

valid

Compiler

Compiled 144 to 30 computations (79.2% saved)

Precisions

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

ival-mult: 6.0ms (34% of total)

ival-sub: 5.0ms (28.4% of total)

ival-sqrt: 4.0ms (22.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

6 → 39

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

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

1.0ms

-inf

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

simplify220.0ms (3.3%)

Memory

-2.5MiB live, 148.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	944
1	537	915
2	2032	858
3	5887	849
0	8255	801

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

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

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

rewrite182.0ms (2.7%)

Memory

-4.8MiB live, 189.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	23	56
1	80	54
2	492	54
3	4847	54
0	8499	49

Stop Event

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

Counts

6 → 429

Calls

Call 1

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

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

eval135.0ms (2%)

Memory: 8.9MiB live, 169.2MiB allocated
Compiler: Compiled 12 807 to 1 723 computations (86.5% saved)

prune13.0ms (0.2%)

Memory

2.2MiB live, 38.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	459	8	467
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	460	8	468

Accuracy

100.0%

Counts

468 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 v)) v (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
	100.0%	(fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (neg.f64 v) v) (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
▶	98.5%	(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
	100.0%	(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
	99.8%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
▶	99.0%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
▶	99.9%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 426 to 292 computations (31.5% saved)

simplify135.0ms (2%)

Memory

18.5MiB live, 176.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))
cost-diff	0	(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
cost-diff	320	(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64)))
cost-diff	0	(.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	640	(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
cost-diff	960	(fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
cost-diff	128	(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 v))
cost-diff	320	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	1664	(fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 v)) v (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	346
0	75	343
1	151	341
2	351	323
3	964	323
4	2544	323
5	4040	319
6	6219	319
0	8086	305

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (2.7%)

Memory

-6.0MiB live, 310.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64))))
accuracy	0.0078125	(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy	0.01953125	(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
accuracy	0.97265625	(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.01953125	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64)))
accuracy	0.0234375	(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.036942894058877095	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.03515625	(fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
accuracy	0.10448818358207376	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
accuracy	0.25	(.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v)
accuracy	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.6330333697129399	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
accuracy	0	(neg.f64 v)
accuracy	0.0078125	(sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	0.015625	(fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 v)) v (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
accuracy	0.41796875	(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 v))

Samples

129.0ms

256×

valid

Compiler

Compiled 678 to 96 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 77.0ms (71.2% of total)

ival-add: 8.0ms (7.4% of total)

ival-sqrt: 8.0ms (7.4% of total)

ival-div: 5.0ms (4.6% of total)

ival-pow: 4.0ms (3.7% of total)

ival-sub: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series25.0ms (0.4%)

Memory

-33.4MiB live, 24.7MiB allocated

Counts

21 → 125

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	v	@	0	((+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (+ (* -3 (* v v)) 1) 2) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* -5/8 (sqrt 2)) v) (* -5/8 (sqrt 2)) (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2))) (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (/ (* 1/4 (sqrt (+ (* -3 (* v v)) 1))) (pow 4 -1/4)) (* (/ (* 1/4 (sqrt (+ (* -3 (* v v)) 1))) (pow 4 -1/4)) (- 1 (* v v))) (* 1/4 (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (neg v))
6.0ms	v	@	inf	((+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (+ (* -3 (* v v)) 1) 2) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* -5/8 (sqrt 2)) v) (* -5/8 (sqrt 2)) (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2))) (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (/ (* 1/4 (sqrt (+ (* -3 (* v v)) 1))) (pow 4 -1/4)) (* (/ (* 1/4 (sqrt (+ (* -3 (* v v)) 1))) (pow 4 -1/4)) (- 1 (* v v))) (* 1/4 (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (neg v))
4.0ms	v	@	-inf	((+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (+ (* -3 (* v v)) 1) 2) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (sqrt 2) 1/4) (sqrt 2) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* -5/8 (sqrt 2)) v) (* -5/8 (sqrt 2)) (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* 1/4 (+ (* (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (* v v)) (sqrt 2))) (* (sqrt 2) (+ (* 3/8 (* v v)) -5/2)) (/ (* 1/4 (sqrt (+ (* -3 (* v v)) 1))) (pow 4 -1/4)) (* (/ (* 1/4 (sqrt (+ (* -3 (* v v)) 1))) (pow 4 -1/4)) (- 1 (* v v))) (* 1/4 (sqrt (+ (* -3 (* v v)) 1))) (sqrt (+ (* -3 (* v v)) 1)) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (neg v))

Time

Variable

Point

Expression

13.0ms

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

6.0ms

inf

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

4.0ms

-inf

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

simplify200.0ms (3%)

Memory

17.2MiB live, 207.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	447	3198
1	1495	3050
2	5746	2900
0	8123	2732

Stop Event

1×	iter limit
1×	node limit

Counts

125 → 125

Calls

Call 1

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

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

rewrite220.0ms (3.3%)

Memory

15.7MiB live, 239.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	281
0	75	284
1	263	278
2	1852	260
0	8446	260

Stop Event

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

Counts

21 → 1 004

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))) #s(literal -1 binary64)) (.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))) (/.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)))))
(.f64 (/.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 v) v #s(literal 1 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) #s(literal 4 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))))
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(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (.f64 (log1p.f64 (.f64 (.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (.f64 (.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)))))
(exp.f64 (fma.f64 (log1p.f64 (.f64 (.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (log1p.f64 (.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) v)
(.f64 (.f64 (neg.f64 v) v) (/.f64 #s(literal 1 binary64) v))
(*.f64 v #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 v) (neg.f64 v))) (-.f64 #s(literal 0 binary64) (neg.f64 v)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 v) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 v) (neg.f64 v)) (.f64 #s(literal 0 binary64) (neg.f64 v)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64)))) (neg.f64 (fma.f64 v v #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 v) v)) (neg.f64 v))
(/.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 v v #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 v) v) v)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 0 binary64)) (neg.f64 (pow.f64 v #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 (neg.f64 v) v)))
(neg.f64 v)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal 0 binary64))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 v v #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) v) (/.f64 (*.f64 v v) v))
(-.f64 #s(literal 0 binary64) v)
(+.f64 #s(literal 0 binary64) (neg.f64 v))

eval230.0ms (3.4%)

Memory: -21.9MiB live, 354.3MiB allocated
Compiler: Compiled 43 933 to 3 706 computations (91.6% saved)

prune25.0ms (0.4%)

Memory

5.2MiB live, 82.0MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 131	5	1 136
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	1 134	10	1 144

Accuracy

100.0%

Counts

1 144 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 #s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (neg.f64 v)) v (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
	99.8%	(fma.f64 #s(approx (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -1/4 binary64))) v (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
	98.3%	(.f64 (/.f64 #s(approx ( 1/4 (sqrt (+ (* -3 (* v v)) 1))) (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	100.0%	(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.8%	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.8%	#s(approx (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
✓	99.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (fma.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
✓	99.0%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓	99.9%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))
▶	51.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal -5/8 binary64))) (.f64 v v))))

Compiler

Compiled 573 to 403 computations (29.7% saved)

simplify118.0ms (1.8%)

Memory

22.5MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
cost-diff	128	(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff	320	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal -5/8 binary64)))
cost-diff	0	#s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal -5/8 binary64))) (.f64 v v)))
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal -5/8 binary64))) (.f64 v v))))
cost-diff	1152	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal -5/8 binary64))) (.f64 v v))
cost-diff	0	(fma.f64 #s(literal -3/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
cost-diff	0	(fma.f64 (*.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
cost-diff	0	#s(approx (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
cost-diff	128	(.f64 (.f64 #s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (neg.f64 v))
cost-diff	192	(fma.f64 (.f64 (.f64 #s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (neg.f64 v)) v (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
cost-diff	320	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	640	(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	532
0	100	524
1	202	513
2	456	490
3	1064	489
4	2147	479
5	3042	479
6	5496	479
0	8092	458

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (2.3%)

Memory

-24.4MiB live, 337.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
accuracy	0	(*.f64 v v)
accuracy	0.0078125	(sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	0.01953125	(.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy	0.10448818358207376	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal -5/8 binary64))) (.f64 v v))))
accuracy	0.16796875	(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
accuracy	0.23046875	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal -5/8 binary64)))
accuracy	29.995861017665916	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal -5/8 binary64))) (.f64 v v))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.01171875	(.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.01953125	(.f64 #s(approx ( (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
accuracy	0.11828797387479675	#s(approx (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (.f64 (fma.f64 #s(literal -3/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 #s(literal -5/8 binary64) v)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0234375	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64)))
accuracy	0.10448818358207376	#s(approx (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
accuracy	0.01953125	(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.04312613172275671	#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.41796875	(.f64 (.f64 #s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (neg.f64 v))
accuracy	0.96875	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64)))

Samples

112.0ms

256×

valid

Compiler

Compiled 959 to 122 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 44.0ms (61.3% of total)

ival-add: 13.0ms (18.1% of total)

ival-sqrt: 5.0ms (7% of total)

ival-div: 4.0ms (5.6% of total)

ival-sub: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series16.0ms (0.2%)

Memory

3.6MiB live, 50.7MiB allocated

Counts

24 → 86

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

inf

((+ (* (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (sqrt 2) (+ (* (* -5/8 v) v) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (+ (* -3/8 (* v v)) 1/4) (sqrt 2)) (+ (* -3/8 (* v v)) 1/4) (* (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (- 1 (* v v))) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* -5/8 v) (/ 1/4 (* v v)) (* v v))

5.0ms

((+ (* (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (sqrt 2) (+ (* (* -5/8 v) v) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (+ (* -3/8 (* v v)) 1/4) (sqrt 2)) (+ (* -3/8 (* v v)) 1/4) (* (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (- 1 (* v v))) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* -5/8 v) (/ 1/4 (* v v)) (* v v))

3.0ms

-inf

((+ (* (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (* (+ (* -3 (* v v)) 1) 2) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (sqrt 2) (+ (* (* -5/8 v) v) 1/4)) (sqrt 2) (+ (* (* -5/8 v) v) 1/4) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (+ (* -3/8 (* v v)) 1/4) (sqrt 2)) (+ (* -3/8 (* v v)) 1/4) (* (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (* v v)) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (* (sqrt 2) (+ (/ 1/4 (* v v)) -5/8)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (- 1 (* v v))) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* -5/8 v) (/ 1/4 (* v v)) (* v v))

simplify316.0ms (4.7%)

Memory

-6.1MiB live, 185.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	2039
1	946	1973
2	3726	1801
0	8246	1696

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 86

Calls

Call 1

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

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

rewrite256.0ms (3.8%)

Memory

22.0MiB live, 176.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	400
0	100	397
1	356	383
2	2501	383
0	8797	378

Stop Event

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

Counts

24 → 499

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (-.f64 (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 2 binary64) (-.f64 (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))))
(fma.f64 (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v)))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) v) v) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) v (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 v v) (.f64 (fma.f64 (*.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
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(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64))))
(pow.f64 (exp.f64 (log.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (.f64 #s(literal -3 binary64) (.f64 v v))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (log1p.f64 (.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)))
(/.f64 (fma.f64 #s(literal -27/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (*.f64 v v))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -9/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -27/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (*.f64 v v) #s(literal 27/16 binary64))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -9/4 binary64)))) (neg.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -27/8 binary64)))) (neg.f64 (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (*.f64 v v) #s(literal 27/16 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 #s(literal -27/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (.f64 (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -9/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal 3/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -27/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (*.f64 v v) #s(literal 27/16 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -9/4 binary64))) (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal 3/2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -27/8 binary64))) (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (*.f64 v v) #s(literal 27/16 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 #s(literal -27/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v #s(literal -9/8 binary64))) v (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 v #s(literal -9/8 binary64)) (.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 v v) #s(literal -9/8 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (*.f64 v v)))
(fma.f64 (.f64 v v) (.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -9/8 binary64)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (*.f64 v v)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -5/8 binary64) v)
(*.f64 v #s(literal -5/8 binary64))
(*.f64 (pow.f64 v #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) v))
(*.f64 (/.f64 #s(literal 1/4 binary64) v) (pow.f64 v #s(literal -1 binary64)))
(*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/4 binary64))
(.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (neg.f64 v) v) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))
(pow.f64 (/.f64 v (/.f64 #s(literal 1/4 binary64) v)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) v))) (neg.f64 (neg.f64 v)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) v)) (neg.f64 v))
(/.f64 (/.f64 #s(literal 1/4 binary64) v) v)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (/.f64 #s(literal 1/4 binary64) v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 v v) #s(literal 4 binary64))))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 v) v))))
(/.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 v) v))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 (neg.f64 v) v)))
(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 v v) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 #s(literal 1/4 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 4 binary64)))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 v v)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(.f64 (.f64 #s(literal 1 binary64) v) v)
(.f64 #s(literal 1 binary64) (.f64 v v))
(.f64 (.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))

eval169.0ms (2.5%)

Memory: 3.2MiB live, 129.8MiB allocated
Compiler: Compiled 37 018 to 3 103 computations (91.6% saved)

prune26.0ms (0.4%)

Memory

3.1MiB live, 40.3MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	783	3	786
Fresh	1	1	2
Picked	3	2	5
Done	1	2	3
Total	788	8	796

Accuracy

100.0%

Counts

796 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 #s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (neg.f64 v)) v (.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
▶	99.8%	(fma.f64 #s(approx (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -1/4 binary64))) v (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
▶	100.0%	(.f64 (.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.8%	#s(approx (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
✓	99.0%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓	99.9%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))
▶	50.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -5/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
✓	51.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal -5/8 binary64))) (.f64 v v))))

Compiler

Compiled 308 to 207 computations (32.8% saved)

simplify123.0ms (1.8%)

Memory

10.2MiB live, 82.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (sqrt ( (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64))
cost-diff	128	(.f64 (.f64 #s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (neg.f64 v))
cost-diff	192	(fma.f64 (.f64 (.f64 #s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (neg.f64 v)) v (.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
cost-diff	640	(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -1/4 binary64))
cost-diff	0	#s(approx (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -1/4 binary64)))
cost-diff	0	(fma.f64 #s(approx (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -1/4 binary64))) v (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
cost-diff	320	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
cost-diff	0	(.f64 (sqrt.f64 #s(approx ( (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
cost-diff	128	(.f64 (.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
cost-diff	0	(fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -5/8 binary64))
cost-diff	0	#s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -5/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v))))
cost-diff	0	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -5/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
cost-diff	6784	(.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -5/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	544
0	101	541
1	187	537
2	405	497
3	969	496
4	2071	496
5	2923	496
6	4241	493
7	5810	493
8	7304	487
0	8080	475

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (2.7%)

Memory

8.8MiB live, 209.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.04312613172275671	#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.41796875	(.f64 (.f64 #s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (neg.f64 v))
accuracy	0.96875	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64)))
accuracy	0.0078125	(sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	0.015625	(fma.f64 #s(approx (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -1/4 binary64))) v (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
accuracy	0.43359375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) v)
accuracy	0.6037768177525873	#s(approx (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -1/4 binary64)))
accuracy	0	(*.f64 v v)
accuracy	0	#s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
accuracy	0.0078125	(sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
accuracy	0.01953125	(.f64 (.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
accuracy	0.10448818358207376	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -5/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
accuracy	0.2741012695368841	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v))
accuracy	0.4088693238305724	(fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -5/8 binary64))
accuracy	30.018271039518126	(.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -5/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))

Samples

132.0ms

256×

valid

Compiler

Compiled 957 to 122 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 34.0ms (31.5% of total)

ival-add: 33.0ms (30.5% of total)

ival-neg: 27.0ms (25% of total)

ival-sqrt: 6.0ms (5.6% of total)

ival-sub: 3.0ms (2.8% of total)

ival-pow: 3.0ms (2.8% of total)

ival-div: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series12.0ms (0.2%)

Memory

-15.7MiB live, 21.8MiB allocated

Counts

22 → 77

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((* (+ (* (pow v -2) 1/4) -5/8) (* (sqrt 2) (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (+ (* (pow v -2) 1/4) -5/8) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (- 1 (* v v))) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (* (+ (* -3 (* v v)) 1) 2) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (* (* (sqrt 2) v) -1/4) (+ (* (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (* (sqrt 2) (* v v)) (* v v) (* (sqrt 2) v) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (sqrt (* (+ (* -3 (* v v)) 1) 2)))

3.0ms

inf

((* (+ (* (pow v -2) 1/4) -5/8) (* (sqrt 2) (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (+ (* (pow v -2) 1/4) -5/8) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (- 1 (* v v))) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (* (+ (* -3 (* v v)) 1) 2) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (* (* (sqrt 2) v) -1/4) (+ (* (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (* (sqrt 2) (* v v)) (* v v) (* (sqrt 2) v) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (sqrt (* (+ (* -3 (* v v)) 1) 2)))

2.0ms

((* (+ (* (pow v -2) 1/4) -5/8) (* (sqrt 2) (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (+ (* (pow v -2) 1/4) -5/8) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (- 1 (* v v))) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (+ (* -3 (* v v)) 1) 2) (* (+ (* -3 (* v v)) 1) 2) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (* (* (sqrt 2) v) -1/4) (+ (* (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (* v v)) (sqrt 2)) (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (* (sqrt 2) (* v v)) (* v v) (* (sqrt 2) v) (sqrt (* (+ (* -3 (* v v)) 1) 2)) (* (sqrt 2) (+ (* -9/8 (* v v)) -3/2)) (sqrt (* (+ (* -3 (* v v)) 1) 2)))

simplify272.0ms (4.1%)

Memory

0.2MiB live, 321.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	1955
1	928	1888
2	3701	1722
0	8187	1619

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

Calls

Call 1

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

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

rewrite199.0ms (3%)

Memory

21.3MiB live, 250.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	413
0	101	412
1	332	407
2	2202	407
0	9133	405

Stop Event

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

Counts

22 → 336

Calls

Call 1

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

Outputs
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5/8 binary64))) v) v)
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)) v)
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5/8 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5/8 binary64))) (*.f64 v v))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 v (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5/8 binary64))))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5/8 binary64)))
(.f64 (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5/8 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5/8 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5/8 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal -125/512 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -5/8 binary64) (.f64 v v)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)))) (-.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))))))))
(/.f64 (fma.f64 (.f64 #s(literal -125/512 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal -5/8 binary64) (.f64 v v)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -25/64 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal 5/8 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 v #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal -125/512 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v))) (neg.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 25/64 binary64) (.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -5/32 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -25/64 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal 5/8 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 (pow.f64 v #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal -125/512 binary64)))) (neg.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 25/64 binary64) (.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -5/32 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -25/64 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal 5/8 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 v #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal -125/512 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 25/64 binary64) (.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -5/32 binary64)))))
(/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -25/64 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal 5/8 binary64)))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 (pow.f64 v #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal -125/512 binary64))) (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 25/64 binary64) (.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -5/32 binary64)))))
(fma.f64 (.f64 v #s(literal -5/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) v) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (.f64 v v) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (.f64 v v)) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))
(fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))
(fma.f64 v (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))
(+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/8 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)))))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v)))
#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 v (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5/8 binary64))))))
#s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 v (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal -5/8 binary64)))))
(*.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -25/64 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal 5/8 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 v #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal -125/512 binary64)) (pow.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 25/64 binary64) (.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -5/32 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal -2 binary64)) #s(literal 5/8 binary64)) (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -25/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 25/64 binary64) (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal -5/32 binary64)))) (fma.f64 (pow.f64 v #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal -125/512 binary64))) #s(literal -1 binary64))
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(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (.f64 #s(literal -3 binary64) (.f64 v v))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (log1p.f64 (.f64 #s(literal -3 binary64) (*.f64 v v))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (.f64 #s(literal -3 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64)))
(/.f64 (fma.f64 #s(literal -27/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (*.f64 v v))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -9/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -27/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (*.f64 v v) #s(literal 27/16 binary64))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -9/4 binary64)))) (neg.f64 (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -27/8 binary64)))) (neg.f64 (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (*.f64 v v) #s(literal 27/16 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 #s(literal -27/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (.f64 (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -9/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal 3/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -27/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (*.f64 v v) #s(literal 27/16 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -9/4 binary64))) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal 3/2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -27/8 binary64))) (fma.f64 #s(literal 81/64 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 9/4 binary64) (.f64 (*.f64 v v) #s(literal 27/16 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -729/512 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 #s(literal -27/8 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -9/8 binary64) v)) v (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal -9/8 binary64) v) (.f64 (sqrt.f64 #s(literal 2 binary64)) v) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal -9/8 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (*.f64 v v)))
(fma.f64 #s(literal -9/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 v v) (.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -9/8 binary64) (.f64 v v)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (*.f64 v v)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -9/8 binary64)) (.f64 v v)) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))

eval98.0ms (1.5%)

Memory: -20.5MiB live, 133.4MiB allocated
Compiler: Compiled 30 553 to 2 206 computations (92.8% saved)

prune19.0ms (0.3%)

Memory

-7.5MiB live, 41.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	501	1	502
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	502	8	510

Accuracy

100.0%

Counts

510 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) v) #s(approx (sqrt (* (+ (* -3 (* v v)) 1) 2)) (fma.f64 (.f64 (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))) v (.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
✓	99.8%	(fma.f64 #s(approx (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -1/4 binary64))) v (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓	100.0%	(.f64 (.f64 (sqrt.f64 #s(approx (* (+ (* -3 (* v v)) 1) 2) (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	99.8%	#s(approx (+ (* (* (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4) (neg v)) v) (* (sqrt (* (+ (* -3 (* v v)) 1) 2)) 1/4)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -5/8 binary64) v) v #s(literal 1/4 binary64))))
✓	99.0%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓	99.9%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))
✓	50.8%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -5/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
✓	51.7%	#s(approx (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) #s(approx (+ (* (* (* -5/8 (sqrt 2)) v) v) (* (sqrt 2) 1/4)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal -5/8 binary64))) (.f64 v v))))

Compiler

Compiled 908 to 338 computations (62.8% saved)

regimes15.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms

4.0ms

(*.f64 v v)

4.0ms

(*.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 23 to 17 computations (26.1% saved)

regimes31.0ms (0.5%)

Memory

-23.0MiB live, 14.7MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

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 23 to 17 computations (26.1% saved)

regimes10.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

Calls

3 calls:

3.0ms

(*.f64 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 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

3 calls:

2.0ms

1.0ms

(*.f64 v v)

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)))

Results

Accuracy	Segments	Branch
99.8%	1	`v`
99.8%	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)))`
99.8%	1	`(*.f64 v v)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms

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

1.0ms

(*.f64 v v)

Results

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify36.0ms (0.5%)

Memory

-18.1MiB live, 57.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	167
1	81	167
2	93	167
3	107	167
4	115	167
5	120	167
6	122	167

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness969.0ms (14.5%)

Memory

17.8MiB live, 700.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	413
0	101	412
1	332	407
2	2202	407
0	9133	405
0	286	2039
1	946	1973
2	3726	1801
0	8246	1696
0	14	56
0	23	56
1	80	54
2	492	54
3	4847	54
0	8499	49
0	447	3198
1	1495	3050
2	5746	2900
0	8123	2732
0	174	944
1	537	915
2	2032	858
3	5887	849
0	8255	801

Stop Event

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

Compiler

Compiled 322 to 162 computations (49.7% saved)

preprocess55.0ms (0.8%)

Memory: 10.1MiB live, 48.2MiB allocated
Remove: (abs v)
Compiler: Compiled 984 to 490 computations (50.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0.1%)

sample1.4s (20.6%)

explain159.0ms (2.4%)

preprocess319.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify128.0ms (1.9%)

localize53.0ms (0.8%)

series7.0ms (0.1%)

simplify220.0ms (3.3%)

rewrite182.0ms (2.7%)

eval135.0ms (2%)

prune13.0ms (0.2%)

simplify135.0ms (2%)

localize182.0ms (2.7%)

series25.0ms (0.4%)

simplify200.0ms (3%)

rewrite220.0ms (3.3%)

eval230.0ms (3.4%)

prune25.0ms (0.4%)

simplify118.0ms (1.8%)

localize152.0ms (2.3%)

series16.0ms (0.2%)

simplify316.0ms (4.7%)

rewrite256.0ms (3.8%)

eval169.0ms (2.5%)

prune26.0ms (0.4%)

simplify123.0ms (1.8%)

localize183.0ms (2.7%)

series12.0ms (0.2%)

simplify272.0ms (4.1%)

rewrite199.0ms (3%)

eval98.0ms (1.5%)

prune19.0ms (0.3%)

regimes15.0ms (0.2%)

regimes31.0ms (0.5%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify36.0ms (0.5%)

soundness969.0ms (14.5%)

preprocess55.0ms (0.8%)

end0.0ms (0%)

Profiling