Metrics for Falkner and Boettcher, Appendix B, 2

analyze4.0ms (0.1%)

Memory

10.1MiB live, 10.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.1s (16.3%)

Memory

29.5MiB live, 2 238.1MiB allocated

Samples

800.0ms	8 256×	0	valid
1.0ms	12×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 574.0ms

ival-mult: 206.0ms (35.9% of total)

ival-sqrt: 136.0ms (23.7% of total)

ival-sub: 127.0ms (22.1% of total)

ival-div: 82.0ms (14.3% of total)

exact: 14.0ms (2.4% of total)

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

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

Bogosity

preprocess346.0ms (5.1%)

Memory

17.9MiB live, 500.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Inputs

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

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

Outputs

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

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

Symmetry

(abs v)

explain173.0ms (2.5%)

Memory

4.8MiB live, 475.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

53.0ms

512×

valid

Compiler

Compiled 186 to 60 computations (67.7% saved)

Precisions

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

ival-mult: 14.0ms (44.6% of total)

ival-sqrt: 8.0ms (25.5% of total)

ival-sub: 5.0ms (15.9% of total)

ival-div: 4.0ms (12.7% of total)

exact: 1.0ms (3.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

Compiler

Compiled 20 to 14 computations (30% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize43.0ms (0.6%)

Memory

-0.0MiB live, 118.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
✓	accuracy	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)))
✓	accuracy	100.0%	(.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)))))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 v v))

Samples

26.0ms

256×

valid

Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions

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

ival-mult: 9.0ms (51.4% of total)

ival-sqrt: 4.0ms (22.8% of total)

ival-sub: 3.0ms (17.1% of total)

ival-div: 2.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-19.0MiB live, 19.4MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite262.0ms (3.8%)

Memory

24.9MiB live, 632.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
0	23	45
1	80	43
2	492	43
3	4847	43
0	8499	39

Stop Event

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

Counts

4 → 288

Calls

Call 1

Inputs
(.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)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))

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

simplify705.0ms (10.3%)

Memory

-35.0MiB live, 779.5MiB allocated

Algorithm

1×	egg-herbie

Rules

21 438×	`lower-fma.f64`
21 438×	`lower-fma.f32`
5 740×	`lower-*.f64`
5 740×	`lower-*.f32`
3 206×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	984
1	529	955
2	2001	898
3	5834	889
0	8193	843

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval64.0ms (0.9%)

Memory: 3.8MiB live, 81.0MiB allocated
Compiler: Compiled 9 231 to 1 000 computations (89.2% saved)

prune92.0ms (1.4%)

Memory

8.6MiB live, 86.8MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	330	6	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	331	6	337

Accuracy

100.0%

Counts

337 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))))
▶	100.0%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.3%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	98.7%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.4%	(.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
▶	98.7%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 172 to 124 computations (27.9% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize153.0ms (2.2%)

Memory

11.2MiB live, 216.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal -5/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.3%	(*.f64 v (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 v #s(literal -3/8 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 v #s(literal -3 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 v (.f64 v #s(literal -3 binary64)))

Samples

88.0ms

256×

valid

Compiler

Compiled 199 to 31 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 60.0ms (86.4% of total)

ival-add: 4.0ms (5.8% of total)

ival-sqrt: 3.0ms (4.3% of total)

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

exact: 1.0ms (1.4% of total)

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

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

series14.0ms (0.2%)

Memory

-12.4MiB live, 29.2MiB allocated

Counts

14 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(sqrt (+ (* 2 (* v (* v -3))) 2))
1.0ms	v	@	0	(* (* 1/4 (sqrt 2)) (- 1 (* v v)))
1.0ms	v	@	inf	(* (* (sqrt (+ (* 2 (* v (* v -3))) 2)) 1/4) (- 1 (* v v)))
1.0ms	v	@	0	(* (sqrt 2) (+ (* v (* v -3/8)) 1/4))
1.0ms	v	@	0	(* (* (sqrt (+ (* 2 (* v (* v -3))) 2)) 1/4) (- 1 (* v v)))

rewrite347.0ms (5.1%)

Memory

19.0MiB live, 887.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 552×	`lower-fma.f32`
9 546×	`lower-fma.f64`
6 774×	`lower-*.f32`
6 750×	`lower-*.f64`
3 072×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	100
0	46	100
1	145	98
2	895	98
0	8514	93

Stop Event

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

Counts

14 → 677

Calls

Call 1

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

Outputs
(.f64 v (.f64 v #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal -3 binary64)) v)
(.f64 (.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal -3 binary64))))
(.f64 (.f64 v v) #s(literal -3 binary64))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64)))) (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64))) (sqrt.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal 6 binary64) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -216 binary64) #s(literal 8 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(pow.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(.f64 (neg.f64 (fma.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 v (.f64 v (.f64 v v))))) #s(literal -125/8 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 v v) (.f64 #s(literal 25/4 binary64) (.f64 (.f64 v v) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 5/2 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 v v) (.f64 #s(literal 25/4 binary64) (.f64 (.f64 v v) #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal -5/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -25/4 binary64) (.f64 #s(literal 2 binary64) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal 5/2 binary64)))))
(.f64 (fma.f64 #s(literal -5/2 binary64) (.f64 v v) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))

simplify402.0ms (5.9%)

Memory

-8.4MiB live, 918.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 542×	`lower-fma.f64`
15 542×	`lower-fma.f32`
6 470×	`lower-*.f64`
6 470×	`lower-*.f32`
2 340×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1556
1	479	1492
2	1544	1431
3	5353	1406
0	8151	1357

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval129.0ms (1.9%)

Memory: 9.7MiB live, 201.2MiB allocated
Compiler: Compiled 24 443 to 1 932 computations (92.1% saved)

prune91.0ms (1.3%)

Memory

-2.0MiB live, 193.7MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	909	4	913
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	914	5	919

Accuracy

100.0%

Counts

919 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
▶	98.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.4%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
▶	51.5%	(.f64 v (.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))))))
✓	98.7%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 65 to 47 computations (27.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize102.0ms (1.5%)

Memory

14.5MiB live, 168.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	98.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
✓	accuracy	100.0%	(fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(*.f64 v #s(literal -5/8 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1/4 binary64) (*.f64 v v))
✓	accuracy	99.6%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))))
✓	accuracy	99.3%	(.f64 v (.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))))))
✓	accuracy	54.7%	(.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))

Samples

53.0ms

256×

valid

Compiler

Compiled 216 to 32 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 17.0ms (46% of total)

ival-sqrt: 8.0ms (21.6% of total)

ival-div: 5.0ms (13.5% of total)

ival-add: 5.0ms (13.5% of total)

ival-sub: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

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

series41.0ms (0.6%)

Memory

-42.3MiB live, 12.1MiB allocated

Counts

15 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
29.0ms	v	@	0	(sqrt (/ 1 (+ (* (* v v) -6) 2)))
2.0ms	v	@	inf	(* v -5/8)
1.0ms	v	@	inf	(sqrt (/ 1 (+ (* (* v v) -6) 2)))
1.0ms	v	@	0	(* v (* (sqrt 2) (+ -1/4 (/ 1/4 (* v v)))))
1.0ms	v	@	inf	(* (+ (* -1/4 (* v v)) 1/4) (sqrt (+ (* (* v v) -6) 2)))

rewrite337.0ms (4.9%)

Memory

24.3MiB live, 529.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 414×	`lower-fma.f32`
7 408×	`lower-fma.f64`
4 856×	`lower-*.f32`
4 838×	`lower-*.f64`
3 452×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	130
0	50	135
1	189	122
2	1253	120
0	8662	117

Stop Event

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

Counts

15 → 802

Calls

Call 1

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

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

simplify437.0ms (6.4%)

Memory

38.2MiB live, 743.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 572×	`lower-fma.f64`
16 572×	`lower-fma.f32`
5 672×	`lower-*.f64`
5 672×	`lower-*.f32`
4 376×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	2463
1	812	2259
2	2702	2158
3	7349	2158
0	8324	2078

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval134.0ms (2%)

Memory: -11.0MiB live, 234.8MiB allocated
Compiler: Compiled 26 804 to 2 427 computations (90.9% saved)

prune89.0ms (1.3%)

Memory

-17.5MiB live, 180.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 095	1	1 096
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	1 097	4	1 101

Accuracy

100.0%

Counts

1 101 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
▶	97.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	99.4%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
✓	98.7%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 43 to 33 computations (23.3% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize29.0ms (0.4%)

Memory

6.6MiB live, 45.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (38.9% of total)

ival-div: 2.0ms (19.5% of total)

ival-sqrt: 2.0ms (19.5% of total)

ival-sub: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

4 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite318.0ms (4.7%)

Memory

-4.1MiB live, 319.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 264×	`lower-fma.f64`
5 264×	`lower-fma.f32`
3 578×	`lower-/.f32`
3 576×	`lower-/.f64`
3 346×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	19
1	53	18
2	286	18
3	2397	18
0	8944	17

Stop Event

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

Counts

4 → 368

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)))
(.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (pow.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (/.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 v v #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (.f64 v v))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (*.f64 v v)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 v (*.f64 (neg.f64 v) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 v v) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (*.f64 v v)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 v) (*.f64 v (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 (.f64 v v)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) v) (neg.f64 v) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 v v) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 v)) v (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64))))
(neg.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) (*.f64 v v)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 v v #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64)))))
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(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) (*.f64 v v)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 v v #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64)))))
(.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 v v #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 v v #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 v v) (*.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 v v #s(literal 1 binary64)))))
(.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (fma.f64 v v #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64))
(.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (-.f64 (.f64 v (fma.f64 v (.f64 v v) v)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64))))) (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1 binary64))) (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 v v)))
(exp.f64 (.f64 (log.f64 (.f64 v v)) #s(literal 1 binary64)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 v))
(.f64 #s(literal 1 binary64) (.f64 v v))
(*.f64 v v)
(.f64 (.f64 v v) #s(literal 1 binary64))
(*.f64 (neg.f64 v) (neg.f64 v))

simplify277.0ms (4.1%)

Memory

10.2MiB live, 206.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 018×	`lower-fma.f64`
7 018×	`lower-fma.f32`
4 234×	`lower-*.f64`
4 234×	`lower-*.f32`
1 238×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	173
1	41	173
2	91	173
3	220	164
4	620	146
5	1794	146
6	3631	146
7	6208	146
0	8117	137

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(/ 1/4 (sqrt 1/2))
(+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(+ (* -1/4 (/ (pow v 2) (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2))))
(* -1/4 (/ (pow v 2) (sqrt 1/2)))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(* -1/4 (/ (pow v 2) (sqrt 1/2)))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(* (pow v 2) (- (* 1/4 (/ 1 (* (pow v 2) (sqrt 1/2)))) (* 1/4 (/ 1 (sqrt 1/2)))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)

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

eval114.0ms (1.7%)

Memory: -14.1MiB live, 61.6MiB allocated
Compiler: Compiled 7 820 to 1 030 computations (86.8% saved)

prune74.0ms (1.1%)

Memory

31.8MiB live, 70.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	391	1	392
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	392	4	396

Accuracy

100.0%

Counts

396 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓	100.0%	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))
✓	99.4%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
✓	98.7%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 207 to 96 computations (53.6% saved)

regimes29.0ms (0.4%)

Memory

-28.9MiB live, 13.7MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms

(*.f64 v v)

4.0ms

3.0ms

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

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes6.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

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

2.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
99.4%	1	`v`
99.4%	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)))`
99.4%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Accuracy

Total -1.0b remaining (-118%)

Threshold costs -1b (-118%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Calls

3 calls:

2.0ms

1.0ms

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

1.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
98.7%	1	`v`
98.7%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
98.7%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	20	27

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness822.0ms (12%)

Memory

-12.9MiB live, 415.9MiB allocated

Rules

21 438×	`lower-fma.f64`
21 438×	`lower-fma.f32`
15 542×	`lower-fma.f64`
15 542×	`lower-fma.f32`
9 552×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1556
1	479	1492
2	1544	1431
3	5353	1406
0	8151	1357
0	25	100
0	46	100
1	145	98
2	895	98
0	8514	93
0	14	45
0	23	45
1	80	43
2	492	43
3	4847	43
0	8499	39
0	169	984
1	529	955
2	2001	898
3	5834	889
0	8193	843

Stop Event

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

Compiler

Compiled 61 to 43 computations (29.5% saved)

preprocess56.0ms (0.8%)

Memory: 20.7MiB live, 102.0MiB allocated
Remove: (abs v)
Compiler: Compiled 126 to 80 computations (36.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0.1%)

sample1.1s (16.3%)

preprocess346.0ms (5.1%)

explain173.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize43.0ms (0.6%)

series8.0ms (0.1%)

rewrite262.0ms (3.8%)

simplify705.0ms (10.3%)

eval64.0ms (0.9%)

prune92.0ms (1.4%)

simplify0.0ms (0%)

localize153.0ms (2.2%)

series14.0ms (0.2%)

rewrite347.0ms (5.1%)

simplify402.0ms (5.9%)

eval129.0ms (1.9%)

prune91.0ms (1.3%)

simplify0.0ms (0%)

localize102.0ms (1.5%)

series41.0ms (0.6%)

rewrite337.0ms (4.9%)

simplify437.0ms (6.4%)

eval134.0ms (2%)

prune89.0ms (1.3%)

simplify0.0ms (0%)

localize29.0ms (0.4%)

series2.0ms (0%)

rewrite318.0ms (4.7%)

simplify277.0ms (4.1%)

eval114.0ms (1.7%)

prune74.0ms (1.1%)

regimes29.0ms (0.4%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

simplify6.0ms (0.1%)

soundness822.0ms (12%)

preprocess56.0ms (0.8%)

end0.0ms (0%)

Profiling