Metrics for Falkner and Boettcher, Appendix B, 2

analyze3.0ms (0%)

Memory

5.0MiB live, 5.0MiB 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)

sample1.2s (12%)

Memory

10.3MiB live, 1 787.7MiB allocated

Samples

925.0ms	8 256×	0	valid
1.0ms	13×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 680.0ms

ival-mult: 258.0ms (38% of total)

ival-sqrt: 220.0ms (32.4% of total)

ival-sub: 91.0ms (13.4% of total)

ival-div: 88.0ms (12.9% of total)

exact: 14.0ms (2.1% of total)

ival-true: 6.0ms (0.9% of total)

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

Bogosity

preprocess368.0ms (3.6%)

Memory

-18.1MiB live, 473.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 438×	`accelerator-lowering-fma.f32`
7 438×	`accelerator-lowering-fma.f64`
3 206×	`-lowering-.f32`
3 206×	`-lowering-.f64`
1 088×	`+-lowering-+.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
1	36	19
2	88	19
3	219	19
4	646	19
5	1458	19
6	2003	19
7	3601	19
8	4895	19
9	6414	19
10	7378	19
0	8003	17

Stop Event

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

Calls

Call 1

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

Outputs

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

explain197.0ms (1.9%)

Memory

27.7MiB live, 394.5MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))`
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)))))`
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)))`
0	-	-	`(*.f64 v v)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))`
0	-	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))`
0	-	-	`#s(literal 4 binary64)`
1	(1.359449731116353e-162)	-	`(.f64 #s(literal 3 binary64) (.f64 v v))`
0	-	-	`v`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(-.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

60.0ms

512×

valid

Compiler

Compiled 186 to 60 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sqrt: 19.0ms (44.4% of total)

ival-mult: 14.0ms (32.7% of total)

ival-sub: 5.0ms (11.7% of total)

ival-div: 4.0ms (9.3% of total)

exact: 1.0ms (2.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

Compiler

Compiled 20 to 14 computations (30% saved)

simplify346.0ms (3.4%)

Memory

-22.4MiB live, 332.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

7 438×	`accelerator-lowering-fma.f32`
7 438×	`accelerator-lowering-fma.f64`
3 206×	`-lowering-.f32`
3 206×	`-lowering-.f64`
1 088×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	36	71
2	88	71
3	219	71
4	646	71
5	1458	71
6	2003	71
7	3601	71
8	4895	71
9	6414	71
10	7378	71
0	8003	66

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize43.0ms (0.4%)

Memory

-7.3MiB live, 111.1MiB 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%	(sqrt.f64 #s(literal 2 binary64))
✓	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

25.0ms

256×

valid

Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 5.0ms (29.9% of total)

ival-mult: 5.0ms (29.9% of total)

ival-sqrt: 4.0ms (23.9% of total)

ival-div: 2.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

7 → 60

Calls

Call 1

Inputs
#<alt (/ (sqrt 2) 4)>
#<alt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))>
#<alt (- 1 (* 3 (* v v)))>
#<alt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))>
#<alt (* 3 (* v v))>
#<alt (sqrt 2)>
#<alt (sqrt (- 1 (* 3 (* v v))))>

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

15 calls:

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

rewrite279.0ms (2.7%)

Memory

28.9MiB live, 701.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 304×	`accelerator-lowering-fma.f32`
4 304×	`accelerator-lowering-fma.f64`
4 064×	`-lowering-.f32`
4 064×	`-lowering-.f64`
2 112×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	71	56
2	483	56
3	4843	56
0	8493	51

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 450

Calls

Call 1

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

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

simplify512.0ms (5%)

Memory

-35.8MiB live, 970.5MiB allocated

Algorithm

1×	egg-herbie

Rules

21 458×	`accelerator-lowering-fma.f32`
21 458×	`accelerator-lowering-fma.f64`
5 772×	`-lowering-.f32`
5 772×	`-lowering-.f64`
3 222×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1058
1	538	1029
2	2038	972
3	5879	963
0	8242	908

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

eval68.0ms (0.7%)

Memory: 11.2MiB live, 204.0MiB allocated
Compiler: Compiled 15 253 to 1 771 computations (88.4% saved)

prune66.0ms (0.6%)

Memory

28.4MiB live, 187.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	502	8	510
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	503	8	511

Accuracy

100.0%

Counts

511 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
▶	97.8%	(.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 v (*.f64 #s(literal 3 binary64) v) #s(literal 1 binary64))))))
▶	100.0%	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.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 v (.f64 #s(literal 3 binary64) v) #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
	100.0%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.7%	(.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)))
	99.4%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	100.0%	(.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))))
▶	99.4%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 278 to 190 computations (31.7% saved)

simplify286.0ms (2.8%)

Memory

9.4MiB live, 587.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 v v #s(literal 1 binary64))) (sqrt.f64 (fma.f64 v (*.f64 #s(literal 3 binary64) v) #s(literal 1 binary64))))
✓	cost-diff	0	(.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 v (.f64 #s(literal 3 binary64) v) #s(literal 1 binary64)))))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
✓	cost-diff	12608	(.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 v (*.f64 #s(literal 3 binary64) v) #s(literal 1 binary64))))))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal 3/8 binary64) #s(literal -5/2 binary64)))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(.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))))
✓	cost-diff	640	(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)))
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
✓	cost-diff	128	(.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)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.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 v (.f64 #s(literal 3 binary64) v) #s(literal 1 binary64))))))
✓	cost-diff	128	(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.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 v (.f64 #s(literal 3 binary64) v) #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	cost-diff	384	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))

Rules

8 986×	`accelerator-lowering-fma.f32`
8 986×	`accelerator-lowering-fma.f64`
4 742×	`-lowering-.f32`
4 742×	`-lowering-.f64`
2 362×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	375
1	128	359
2	382	356
3	1337	356
4	2861	356
5	5234	356
0	8106	324

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize156.0ms (1.5%)

Memory

-32.8MiB live, 377.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) (fma.f64 v v #s(literal 1 binary64)))
✓	accuracy	100.0%	(.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 v (.f64 #s(literal 3 binary64) v) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 v (*.f64 #s(literal 3 binary64) v) #s(literal 1 binary64)))
✓	accuracy	98.4%	(.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 v (*.f64 #s(literal 3 binary64) v) #s(literal 1 binary64))))))
✓	accuracy	100.0%	(.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))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(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)))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal 3/8 binary64) #s(literal -5/2 binary64)))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(*.f64 v #s(literal -3/8 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 -3/8 binary64)) #s(literal 1/4 binary64)))
✓	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 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.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 v (.f64 #s(literal 3 binary64) v) #s(literal 1 binary64))))))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal -9 binary64) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 v (.f64 v (*.f64 v v)))
✓	accuracy	99.9%	(.f64 v (.f64 v v))

Samples

88.0ms

256×

valid

Compiler

Compiled 361 to 48 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 41.0ms (64.2% of total)

ival-add: 7.0ms (11% of total)

ival-sqrt: 7.0ms (11% of total)

ival-pow: 4.0ms (6.3% of total)

ival-div: 3.0ms (4.7% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series21.0ms (0.2%)

Memory

10.6MiB live, 49.5MiB allocated

Counts

22 → 216

Calls

Call 1

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

Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 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 (* 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>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (+ 1/4 (* -3/8 (pow v 2)))>
#<alt (* -3/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* -3/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))>
#<alt (* 3/8 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))>
#<alt (* 3/8 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))>
#<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)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (* 3/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* 3/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* -5/2 (sqrt 2))>
#<alt (+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))>
#<alt (+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))>
#<alt (+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))>
#<alt (* 3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* 3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (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 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 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 (/ (+ (sqrt 6) (/ 1 (sqrt 6))) (pow v 2))) (* 1/4 (/ (- (/ 1 (sqrt 6)) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* 1/4 (sqrt 6)) (+ (* 1/4 (/ (+ (sqrt 6) (/ 1 (sqrt 6))) (pow v 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (pow (sqrt 6) 5))) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 6))) (* 1/4 (/ (- (/ 1 (sqrt 6)) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 4)))))))>
#<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 (/ (+ (sqrt 6) (/ 1 (sqrt 6))) (pow v 2))) (* 1/4 (/ (- (/ 1 (sqrt 6)) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* 1/4 (sqrt 6)) (+ (* 1/4 (/ (+ (sqrt 6) (/ 1 (sqrt 6))) (pow v 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (pow (sqrt 6) 5))) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 6))) (* 1/4 (/ (- (/ 1 (sqrt 6)) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 4))))))))>
#<alt (* 1/4 (pow 2 1/4))>
#<alt (+ (* 1/4 (pow 2 1/4)) (* 5/8 (* (pow 2 1/4) (pow v 2))))>
#<alt (+ (* 1/4 (pow 2 1/4)) (* (pow v 2) (+ (* 3/32 (* (pow 2 1/4) (pow v 2))) (* 5/8 (pow 2 1/4)))))>
#<alt (+ (* 1/4 (pow 2 1/4)) (* (pow v 2) (+ (* 5/8 (pow 2 1/4)) (* (pow v 2) (+ (* 3/32 (pow 2 1/4)) (* 9/64 (* (pow 2 1/4) (pow v 2))))))))>
#<alt (* 1/4 (* (pow 2 1/4) (* (pow v 3) (sqrt 3))))>
#<alt (* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))))))>
#<alt (* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (+ (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))) (* 1/4 (* (pow 2 1/4) (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4)))))))>
#<alt (* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (+ (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))) (+ (* 1/4 (* (pow 2 1/4) (/ (- (* 1/16 (/ 1 (pow (sqrt 3) 5))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 6)))) (* 1/4 (* (pow 2 1/4) (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4))))))))>
#<alt (* -1/4 (* (pow 2 1/4) (* (pow v 3) (sqrt 3))))>
#<alt (* -1 (* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (+ (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))) (* 1/4 (* (pow 2 1/4) (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4))))))))>
#<alt (* -1 (* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (+ (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))) (+ (* 1/4 (* (pow 2 1/4) (/ (- (* 1/16 (/ 1 (pow (sqrt 3) 5))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 6)))) (* 1/4 (* (pow 2 1/4) (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4)))))))))>
#<alt 1/4>
#<alt (+ 1/4 (* 5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (+ 5/8 (* 3/32 (pow v 2)))))>
#<alt (+ 1/4 (* (pow v 2) (+ 5/8 (* (pow v 2) (+ 3/32 (* 9/64 (pow v 2)))))))>
#<alt (* 1/4 (* (pow v 3) (sqrt 3)))>
#<alt (* (pow v 3) (+ (* 1/4 (sqrt 3)) (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* 1/4 (sqrt 3)) (+ (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))) (* 1/4 (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* 1/4 (sqrt 3)) (+ (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))) (+ (* 1/4 (/ (- (* 1/16 (/ 1 (pow (sqrt 3) 5))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 6))) (* 1/4 (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4)))))))>
#<alt (* -1/4 (* (pow v 3) (sqrt 3)))>
#<alt (* -1 (* (pow v 3) (+ (* 1/4 (sqrt 3)) (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* 1/4 (sqrt 3)) (+ (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))) (* 1/4 (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* 1/4 (sqrt 3)) (+ (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))) (+ (* 1/4 (/ (- (* 1/16 (/ 1 (pow (sqrt 3) 5))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 6))) (* 1/4 (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4))))))))>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt 1>
#<alt (+ 1 (* -9/2 (pow v 4)))>
#<alt (+ 1 (* (pow v 4) (- (* -81/8 (pow v 4)) 9/2)))>
#<alt (+ 1 (* (pow v 4) (- (* (pow v 4) (- (* -729/16 (pow v 4)) 81/8)) 9/2)))>
#<alt (* (pow v 2) (sqrt -9))>
#<alt (* (pow v 2) (+ (sqrt -9) (* 1/2 (/ 1 (* (pow v 4) (sqrt -9))))))>
#<alt (* (pow v 2) (- (+ (sqrt -9) (/ 1/2 (* (pow v 4) (sqrt -9)))) (/ 1/8 (* (pow v 8) (pow (sqrt -9) 3)))))>
#<alt (* (pow v 2) (- (+ (sqrt -9) (+ (/ 1/2 (* (pow v 4) (sqrt -9))) (* 1/16 (/ 1 (* (pow v 12) (pow (sqrt -9) 5)))))) (* 1/8 (/ 1 (* (pow v 8) (pow (sqrt -9) 3))))))>
#<alt (* (pow v 2) (sqrt -9))>
#<alt (* (pow v 2) (+ (sqrt -9) (* 1/2 (/ 1 (* (pow v 4) (sqrt -9))))))>
#<alt (* (pow v 2) (- (+ (sqrt -9) (/ 1/2 (* (pow v 4) (sqrt -9)))) (/ 1/8 (* (pow v 8) (pow (sqrt -9) 3)))))>
#<alt (* (pow v 2) (- (+ (sqrt -9) (+ (/ 1/2 (* (pow v 4) (sqrt -9))) (* 1/16 (/ 1 (* (pow v 12) (pow (sqrt -9) 5)))))) (* 1/8 (/ 1 (* (pow v 8) (pow (sqrt -9) 3))))))>
#<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 1>
#<alt (+ 1 (* 3/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (+ 3/2 (* -9/8 (pow v 2)))))>
#<alt (+ 1 (* (pow v 2) (+ 3/2 (* (pow v 2) (- (* 27/16 (pow v 2)) 9/8)))))>
#<alt (* v (sqrt 3))>
#<alt (* v (+ (sqrt 3) (* 1/2 (/ 1 (* (pow v 2) (sqrt 3))))))>
#<alt (* v (- (+ (sqrt 3) (/ 1/2 (* (pow v 2) (sqrt 3)))) (/ 1/8 (* (pow v 4) (pow (sqrt 3) 3)))))>
#<alt (* v (- (+ (sqrt 3) (+ (/ 1/2 (* (pow v 2) (sqrt 3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt 3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt 3) 3))))))>
#<alt (* -1 (* v (sqrt 3)))>
#<alt (* -1 (* v (+ (sqrt 3) (* 1/2 (/ 1 (* (pow v 2) (sqrt 3)))))))>
#<alt (* -1 (* v (- (+ (sqrt 3) (/ 1/2 (* (pow v 2) (sqrt 3)))) (/ 1/8 (* (pow v 4) (pow (sqrt 3) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt 3) (+ (/ 1/2 (* (pow v 2) (sqrt 3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt 3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt 3) 3)))))))>
#<alt 1/4>
#<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 (* 1/4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))>
#<alt (* 1/4 (pow v 2))>
#<alt (* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(sqrt (+ (* (* v (* v (* v v))) -9) 1))
2.0ms	v	@	0	(* v -3/8)
1.0ms	v	@	inf	(* (pow 2 1/4) (* (pow 2 1/4) (* (* 1/4 (+ (* v v) 1)) (sqrt (+ (* v (* 3 v)) 1)))))
1.0ms	v	@	0	(+ (* (* v v) (* (sqrt 2) (+ (* (* v v) 3/8) -5/2))) (sqrt 2))
1.0ms	v	@	inf	(* (pow 2 1/4) (* (* 1/4 (+ (* v v) 1)) (sqrt (+ (* v (* 3 v)) 1))))

rewrite417.0ms (4.1%)

Memory

10.9MiB live, 817.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 306×	`accelerator-lowering-fma.f32`
9 306×	`accelerator-lowering-fma.f64`
4 464×	`-lowering-.f32`
4 464×	`-lowering-.f64`
3 742×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	247
1	240	228
2	1768	227
0	8728	206

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 684

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (neg.f64 (.f64 v v))))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (.f64 (neg.f64 (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (neg.f64 (*.f64 v v))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))) (.f64 (neg.f64 (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (neg.f64 (*.f64 v v))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (.f64 (neg.f64 (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (neg.f64 (*.f64 v v))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) (.f64 (neg.f64 (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (neg.f64 (.f64 v v))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (.f64 (neg.f64 (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))))))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (neg.f64 (.f64 v v))))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (neg.f64 (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64))))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (neg.f64 (.f64 v v))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64))))) (.f64 (neg.f64 (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))))))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (neg.f64 (*.f64 v v))))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (neg.f64 (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (neg.f64 (.f64 v v))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (neg.f64 (*.f64 v v))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))) (.f64 (neg.f64 (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))))))
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(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 81 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 (*.f64 v v) #s(literal -9 binary64)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 81 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (*.f64 v v) #s(literal -9 binary64)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 v v) (.f64 (*.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 v #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) v)
(exp.f64 (.f64 (log1p.f64 (.f64 (*.f64 v v) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -3 binary64) (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 27 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -3 binary64) (.f64 v v)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) (.f64 v v))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 27 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -3 binary64) (.f64 v v))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 v (.f64 v #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 v v)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 27 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -3 binary64) (.f64 v v))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal 3 binary64)) #s(literal -1 binary64)))))
(pow.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 27 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -3 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -3 binary64) (*.f64 v v))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 27 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -3 binary64) (*.f64 v v))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 3 binary64)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal 3 binary64)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) #s(literal 1/4 binary64)))
(+.f64 (.f64 (.f64 v v) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))
(-.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64)) (fma.f64 (.f64 v v) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 v v) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(fma.f64 v (*.f64 v #s(literal 1/4 binary64)) #s(literal 1/4 binary64))
(fma.f64 (*.f64 v v) #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) v) v #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 v v) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v)))) #s(literal 1/64 binary64) #s(literal 1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64) #s(literal -1/16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.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 (fma.f64 v v #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (fma.f64 v (.f64 v (*.f64 v v)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (fma.f64 v (.f64 v (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1/64 binary64) #s(literal 1/64 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (*.f64 v v) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64) #s(literal -1/16 binary64)) (fma.f64 (.f64 v v) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))
(/.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)) #s(literal 1 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 v (.f64 v (*.f64 v v)) #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (fma.f64 v (.f64 v (.f64 v v)) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (.f64 (fma.f64 v (.f64 v (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1/64 binary64) #s(literal 1/64 binary64))) (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (*.f64 v v) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 (.f64 v v) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 v (.f64 v (.f64 v v)) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 v (.f64 v (*.f64 v v)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 v (.f64 v (.f64 v v)) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(/.f64 (neg.f64 (.f64 (fma.f64 v (.f64 v (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 1/4 binary64))
(.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1/64 binary64) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 v v) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))))
(.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(.f64 (.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) (fma.f64 v (.f64 v (.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 v (.f64 v (.f64 v v)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(.f64 (.f64 (fma.f64 v (.f64 v (.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 v (.f64 v (*.f64 v v)) #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 v #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 v #s(literal 1 binary64))) (/.f64 (fma.f64 v (.f64 v (*.f64 v v)) #s(literal -1 binary64)) (+.f64 v #s(literal -1 binary64))))

simplify474.0ms (4.7%)

Memory

6.3MiB live, 799.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 546×	`accelerator-lowering-fma.f32`
16 546×	`accelerator-lowering-fma.f64`
6 820×	`-lowering-.f32`
6 820×	`-lowering-.f64`
4 666×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	429	3428
1	1355	3240
2	4917	3056
0	8241	2932

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 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)))))
(* 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
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* -3/8 (pow v 2)))
(+ 1/4 (* -3/8 (pow v 2)))
(* -3/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* -3/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 3/8))
(sqrt 2)
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))
(* 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)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -5/2 (sqrt 2))
(+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))
(+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))
(+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))
(* 3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* 3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 2) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (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 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (sqrt 2) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 27/2 (/ 1 (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 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 (/ (+ (sqrt 6) (/ 1 (sqrt 6))) (pow v 2))) (* 1/4 (/ (- (/ 1 (sqrt 6)) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 4))))))
(* (pow v 3) (+ (* 1/4 (sqrt 6)) (+ (* 1/4 (/ (+ (sqrt 6) (/ 1 (sqrt 6))) (pow v 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (pow (sqrt 6) 5))) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 6))) (* 1/4 (/ (- (/ 1 (sqrt 6)) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 4)))))))
(* -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 (/ (+ (sqrt 6) (/ 1 (sqrt 6))) (pow v 2))) (* 1/4 (/ (- (/ 1 (sqrt 6)) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* 1/4 (sqrt 6)) (+ (* 1/4 (/ (+ (sqrt 6) (/ 1 (sqrt 6))) (pow v 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (pow (sqrt 6) 5))) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 6))) (* 1/4 (/ (- (/ 1 (sqrt 6)) (* 1/2 (/ 1 (pow (sqrt 6) 3)))) (pow v 4))))))))
(* 1/4 (pow 2 1/4))
(+ (* 1/4 (pow 2 1/4)) (* 5/8 (* (pow 2 1/4) (pow v 2))))
(+ (* 1/4 (pow 2 1/4)) (* (pow v 2) (+ (* 3/32 (* (pow 2 1/4) (pow v 2))) (* 5/8 (pow 2 1/4)))))
(+ (* 1/4 (pow 2 1/4)) (* (pow v 2) (+ (* 5/8 (pow 2 1/4)) (* (pow v 2) (+ (* 3/32 (pow 2 1/4)) (* 9/64 (* (pow 2 1/4) (pow v 2))))))))
(* 1/4 (* (pow 2 1/4) (* (pow v 3) (sqrt 3))))
(* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))))))
(* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (+ (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))) (* 1/4 (* (pow 2 1/4) (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4)))))))
(* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (+ (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))) (+ (* 1/4 (* (pow 2 1/4) (/ (- (* 1/16 (/ 1 (pow (sqrt 3) 5))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 6)))) (* 1/4 (* (pow 2 1/4) (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4))))))))
(* -1/4 (* (pow 2 1/4) (* (pow v 3) (sqrt 3))))
(* -1 (* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (+ (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))) (* 1/4 (* (pow 2 1/4) (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4))))))))
(* -1 (* (pow v 3) (+ (* 1/4 (* (pow 2 1/4) (sqrt 3))) (+ (* 1/4 (* (pow 2 1/4) (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))) (+ (* 1/4 (* (pow 2 1/4) (/ (- (* 1/16 (/ 1 (pow (sqrt 3) 5))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 6)))) (* 1/4 (* (pow 2 1/4) (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4)))))))))
1/4
(+ 1/4 (* 5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (+ 5/8 (* 3/32 (pow v 2)))))
(+ 1/4 (* (pow v 2) (+ 5/8 (* (pow v 2) (+ 3/32 (* 9/64 (pow v 2)))))))
(* 1/4 (* (pow v 3) (sqrt 3)))
(* (pow v 3) (+ (* 1/4 (sqrt 3)) (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2)))))
(* (pow v 3) (+ (* 1/4 (sqrt 3)) (+ (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))) (* 1/4 (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4))))))
(* (pow v 3) (+ (* 1/4 (sqrt 3)) (+ (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))) (+ (* 1/4 (/ (- (* 1/16 (/ 1 (pow (sqrt 3) 5))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 6))) (* 1/4 (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4)))))))
(* -1/4 (* (pow v 3) (sqrt 3)))
(* -1 (* (pow v 3) (+ (* 1/4 (sqrt 3)) (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* 1/4 (sqrt 3)) (+ (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))) (* 1/4 (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* 1/4 (sqrt 3)) (+ (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))) (+ (* 1/4 (/ (- (* 1/16 (/ 1 (pow (sqrt 3) 5))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 6))) (* 1/4 (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4))))))))
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
1
(+ 1 (* -9/2 (pow v 4)))
(+ 1 (* (pow v 4) (- (* -81/8 (pow v 4)) 9/2)))
(+ 1 (* (pow v 4) (- (* (pow v 4) (- (* -729/16 (pow v 4)) 81/8)) 9/2)))
(* (pow v 2) (sqrt -9))
(* (pow v 2) (+ (sqrt -9) (* 1/2 (/ 1 (* (pow v 4) (sqrt -9))))))
(* (pow v 2) (- (+ (sqrt -9) (/ 1/2 (* (pow v 4) (sqrt -9)))) (/ 1/8 (* (pow v 8) (pow (sqrt -9) 3)))))
(* (pow v 2) (- (+ (sqrt -9) (+ (/ 1/2 (* (pow v 4) (sqrt -9))) (* 1/16 (/ 1 (* (pow v 12) (pow (sqrt -9) 5)))))) (* 1/8 (/ 1 (* (pow v 8) (pow (sqrt -9) 3))))))
(* (pow v 2) (sqrt -9))
(* (pow v 2) (+ (sqrt -9) (* 1/2 (/ 1 (* (pow v 4) (sqrt -9))))))
(* (pow v 2) (- (+ (sqrt -9) (/ 1/2 (* (pow v 4) (sqrt -9)))) (/ 1/8 (* (pow v 8) (pow (sqrt -9) 3)))))
(* (pow v 2) (- (+ (sqrt -9) (+ (/ 1/2 (* (pow v 4) (sqrt -9))) (* 1/16 (/ 1 (* (pow v 12) (pow (sqrt -9) 5)))))) (* 1/8 (/ 1 (* (pow v 8) (pow (sqrt -9) 3))))))
(* -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)
1
(+ 1 (* 3/2 (pow v 2)))
(+ 1 (* (pow v 2) (+ 3/2 (* -9/8 (pow v 2)))))
(+ 1 (* (pow v 2) (+ 3/2 (* (pow v 2) (- (* 27/16 (pow v 2)) 9/8)))))
(* v (sqrt 3))
(* v (+ (sqrt 3) (* 1/2 (/ 1 (* (pow v 2) (sqrt 3))))))
(* v (- (+ (sqrt 3) (/ 1/2 (* (pow v 2) (sqrt 3)))) (/ 1/8 (* (pow v 4) (pow (sqrt 3) 3)))))
(* v (- (+ (sqrt 3) (+ (/ 1/2 (* (pow v 2) (sqrt 3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt 3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt 3) 3))))))
(* -1 (* v (sqrt 3)))
(* -1 (* v (+ (sqrt 3) (* 1/2 (/ 1 (* (pow v 2) (sqrt 3)))))))
(* -1 (* v (- (+ (sqrt 3) (/ 1/2 (* (pow v 2) (sqrt 3)))) (/ 1/8 (* (pow v 4) (pow (sqrt 3) 3))))))
(* -1 (* v (- (+ (sqrt 3) (+ (/ 1/2 (* (pow v 2) (sqrt 3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt 3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt 3) 3)))))))
1/4
(+ 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 (* 1/4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))
(* 1/4 (pow v 2))
(* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))

Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal 3/32 binary64) #s(literal -5/8 binary64)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 v v) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (.f64 v v) #s(literal 3/8 binary64))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 v v) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v #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 (.f64 v (.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (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)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (.f64 v (.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 v (.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))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 (.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
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(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (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))))))))
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(* -1 (* (pow v 3) (+ (* 1/4 (sqrt 3)) (+ (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))) (* 1/4 (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4)))))))
(.f64 (.f64 v (.f64 v v)) (.f64 #s(literal -1/4 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 3 binary64)))) (.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal 3 binary64)))) (.f64 (.f64 v v) (.f64 v v))))))
(* -1 (* (pow v 3) (+ (* 1/4 (sqrt 3)) (+ (* 1/4 (/ (+ (sqrt 3) (* 1/2 (/ 1 (sqrt 3)))) (pow v 2))) (+ (* 1/4 (/ (- (* 1/16 (/ 1 (pow (sqrt 3) 5))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 6))) (* 1/4 (/ (- (* 1/2 (/ 1 (sqrt 3))) (* 1/8 (/ 1 (pow (sqrt 3) 3)))) (pow v 4))))))))
(.f64 (.f64 v (.f64 v v)) (.f64 #s(literal -1/4 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 3 binary64)))) (.f64 v v))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal 3 binary64)))) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))))))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 3)
(.f64 v (.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
1
#s(literal 1 binary64)
(+ 1 (* -9/2 (pow v 4)))
(fma.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal -9/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 4) (- (* -81/8 (pow v 4)) 9/2)))
(fma.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal -81/8 binary64) #s(literal -9/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 4) (- (* (pow v 4) (- (* -729/16 (pow v 4)) 81/8)) 9/2)))
(fma.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal -729/16 binary64) #s(literal -81/8 binary64)) #s(literal -9/2 binary64)) #s(literal 1 binary64))
(* (pow v 2) (sqrt -9))
(.f64 (.f64 (sqrt.f64 #s(literal -9 binary64)) v) v)
(* (pow v 2) (+ (sqrt -9) (* 1/2 (/ 1 (* (pow v 4) (sqrt -9))))))
(.f64 (.f64 v v) (+.f64 (sqrt.f64 #s(literal -9 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -9 binary64))))))
(* (pow v 2) (- (+ (sqrt -9) (/ 1/2 (* (pow v 4) (sqrt -9)))) (/ 1/8 (* (pow v 8) (pow (sqrt -9) 3)))))
(.f64 (.f64 v v) (+.f64 (sqrt.f64 #s(literal -9 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 8 binary64)) (.f64 (sqrt.f64 #s(literal -9 binary64)) #s(literal 9 binary64)))))))
(* (pow v 2) (- (+ (sqrt -9) (+ (/ 1/2 (* (pow v 4) (sqrt -9))) (* 1/16 (/ 1 (* (pow v 12) (pow (sqrt -9) 5)))))) (* 1/8 (/ 1 (* (pow v 8) (pow (sqrt -9) 3))))))
(.f64 (.f64 v v) (+.f64 (+.f64 (sqrt.f64 #s(literal -9 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 8 binary64)) (.f64 (sqrt.f64 #s(literal -9 binary64)) #s(literal 9 binary64)))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (sqrt.f64 #s(literal -9 binary64)) #s(literal 5 binary64))))))
(* (pow v 2) (sqrt -9))
(.f64 (.f64 (sqrt.f64 #s(literal -9 binary64)) v) v)
(* (pow v 2) (+ (sqrt -9) (* 1/2 (/ 1 (* (pow v 4) (sqrt -9))))))
(.f64 (.f64 v v) (+.f64 (sqrt.f64 #s(literal -9 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -9 binary64))))))
(* (pow v 2) (- (+ (sqrt -9) (/ 1/2 (* (pow v 4) (sqrt -9)))) (/ 1/8 (* (pow v 8) (pow (sqrt -9) 3)))))
(.f64 (.f64 v v) (+.f64 (sqrt.f64 #s(literal -9 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 8 binary64)) (.f64 (sqrt.f64 #s(literal -9 binary64)) #s(literal 9 binary64)))))))
(* (pow v 2) (- (+ (sqrt -9) (+ (/ 1/2 (* (pow v 4) (sqrt -9))) (* 1/16 (/ 1 (* (pow v 12) (pow (sqrt -9) 5)))))) (* 1/8 (/ 1 (* (pow v 8) (pow (sqrt -9) 3))))))
(.f64 (.f64 v v) (+.f64 (+.f64 (sqrt.f64 #s(literal -9 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 v #s(literal 8 binary64)) (.f64 (sqrt.f64 #s(literal -9 binary64)) #s(literal 9 binary64)))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (sqrt.f64 #s(literal -9 binary64)) #s(literal 5 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))
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) (+ 3/2 (* -9/8 (pow v 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) (+ 3/2 (* (pow v 2) (- (* 27/16 (pow v 2)) 9/8)))))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 (*.f64 v 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))))))
(.f64 v (+.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 v (*.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)))))
(.f64 v (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -3 binary64)))))))
(* 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 (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 3 binary64)) #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))))))
(* -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 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 v (*.f64 v (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 v))
(* -1 (* v (- (+ (sqrt 3) (/ 1/2 (* (pow v 2) (sqrt 3)))) (/ 1/8 (* (pow v 4) (pow (sqrt 3) 3))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -3 binary64)))))) (neg.f64 v))
(* -1 (* v (- (+ (sqrt 3) (+ (/ 1/2 (* (pow v 2) (sqrt 3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt 3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt 3) 3)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 3 binary64)) #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))))) (neg.f64 v))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/4 (pow v 2)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(+ 1/4 (* 1/4 (pow v 2)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(+ 1/4 (* 1/4 (pow v 2)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* 1/4 (pow v 2))
(.f64 #s(literal 1/4 binary64) (.f64 v v))
(* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* 1/4 (pow v 2))
(.f64 #s(literal 1/4 binary64) (.f64 v v))
(* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (+ 1/4 (* 1/4 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))

eval184.0ms (1.8%)

Memory: 23.5MiB live, 245.3MiB allocated
Compiler: Compiled 34 970 to 2 926 computations (91.6% saved)

prune108.0ms (1.1%)

Memory

2.7MiB live, 203.5MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 056	3	1 059
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	1 061	6	1 067

Accuracy

100.0%

Counts

1 067 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶	98.2%	(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v #s(literal -3/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	100.0%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.8%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
✓	100.0%	(.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))))
✓	99.4%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 116 to 74 computations (36.2% saved)

simplify273.0ms (2.7%)

Memory

-19.8MiB live, 496.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	cost-diff	320	(.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))
✓	cost-diff	1088	(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v #s(literal -3/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))))
✓	cost-diff	128	(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v #s(literal -3/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	cost-diff	320	(fma.f64 #s(literal 2 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal -1/8 binary64))
✓	cost-diff	960	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v #s(literal -3/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
✓	cost-diff	128	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))

Rules

8 732×	`accelerator-lowering-fma.f32`
8 732×	`accelerator-lowering-fma.f64`
5 506×	`-lowering-.f32`
5 506×	`-lowering-.f64`
1 714×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	379
1	123	371
2	316	343
3	777	323
4	2153	323
5	4463	323
0	8253	295

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt 2) (+ (* (* v v) -5/8) 1/4))
(sqrt 2)
2
(+ (* (* v v) -5/8) 1/4)
(* v v)
v
-5/8
1/4
(* (* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v)))))
(* (sqrt 2) 1/4)
(sqrt 2)
2
1/4
(sqrt (- 1 (* 3 (* v v))))
(- 1 (* 3 (* v v)))
1
(* 3 (* v v))
3
(* v v)
v
(- 1 (* v v))
(* (/ (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8) (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4))) (- 1 (* v v)))
(/ (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8) (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4)))
(+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8)
2
(* (* v v) (* (* v v) 9/64))
(* v v)
v
(* (* v v) 9/64)
9/64
-1/8
(+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4))
(sqrt 2)
(* v (* v -3/8))
(* v -3/8)
-3/8
(* (sqrt 2) -1/4)
-1/4
(- 1 (* v v))
1
(/ (* 1/4 (sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))))) (/ 1 (- 1 (* v v))))
(* 1/4 (sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1)))))
1/4
(sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))))
(* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1)))
2
(/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))
(+ (* (* v v) (* (* v v) -9)) 1)
(* v v)
v
(* (* v v) -9)
-9
1
(+ (* (* v v) 3) 1)
3
(/ 1 (- 1 (* v v)))
(- 1 (* v v))

Outputs
(* (sqrt 2) (+ (* (* v v) -5/8) 1/4))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* (* v v) -5/8) 1/4)
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(* v v)
(*.f64 v v)
v
-5/8
#s(literal -5/8 binary64)
1/4
#s(literal 1/4 binary64)
(* (* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (sqrt 2) 1/4)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(sqrt (- 1 (* 3 (* v v))))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(- 1 (* 3 (* v v)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 3 (* v v))
(.f64 (.f64 v v) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* v v)
(*.f64 v v)
v
(- 1 (* v v))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))
(* (/ (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8) (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4))) (- 1 (* v v)))
(/.f64 (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal -9/32 binary64))) #s(literal 1/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))))
(/ (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8) (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4)))
(/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9/32 binary64)) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))))
(+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8)
(fma.f64 (.f64 v v) (.f64 (*.f64 v v) #s(literal 9/32 binary64)) #s(literal -1/8 binary64))
2
#s(literal 2 binary64)
(* (* v v) (* (* v v) 9/64))
(.f64 (.f64 v v) (.f64 v (.f64 v #s(literal 9/64 binary64))))
(* v v)
(*.f64 v v)
v
(* (* v v) 9/64)
(.f64 v (.f64 v #s(literal 9/64 binary64)))
9/64
#s(literal 9/64 binary64)
-1/8
#s(literal -1/8 binary64)
(+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(* v (* v -3/8))
(.f64 (.f64 v v) #s(literal -3/8 binary64))
(* v -3/8)
(*.f64 v #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)
(* (sqrt 2) -1/4)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(- 1 (* v v))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (* 1/4 (sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))))) (/ 1 (- 1 (* v v))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v #s(literal -18 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) (fma.f64 v (.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))
(* 1/4 (sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1)))))
(.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v #s(literal -18 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))
1/4
#s(literal 1/4 binary64)
(sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))))
(sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v #s(literal -18 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))
(* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1)))
(/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v #s(literal -18 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))
(/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v #s(literal -9 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))
(+ (* (* v v) (* (* v v) -9)) 1)
(fma.f64 (.f64 v v) (.f64 v (*.f64 v #s(literal -9 binary64))) #s(literal 1 binary64))
(* v v)
(*.f64 v v)
v
(* (* v v) -9)
(.f64 v (.f64 v #s(literal -9 binary64)))
-9
#s(literal -9 binary64)
1
#s(literal 1 binary64)
(+ (* (* v v) 3) 1)
(fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))
3
#s(literal 3 binary64)
(/ 1 (- 1 (* v v)))
(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))
(- 1 (* v v))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))

localize140.0ms (1.4%)

Memory

40.5MiB live, 264.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	accuracy	100.0%	(sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 v v) #s(literal -9 binary64))
✓	accuracy	99.9%	(.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9/64 binary64)))
✓	accuracy	99.8%	(.f64 v (.f64 v #s(literal -3/8 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal 9/64 binary64))
✓	accuracy	98.5%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v #s(literal -3/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 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))
✓	accuracy	100.0%	(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))

Samples

72.0ms

256×

valid

Compiler

Compiled 370 to 47 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 26.0ms (54.9% of total)

ival-div: 7.0ms (14.8% of total)

ival-add: 5.0ms (10.6% of total)

ival-sqrt: 5.0ms (10.6% of total)

ival-sub: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

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

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

series28.0ms (0.3%)

Memory

-39.1MiB live, 29.2MiB allocated

Counts

24 → 264

Calls

Call 1

Inputs
#<alt (* (sqrt 2) (+ (* (* v v) -5/8) 1/4))>
#<alt (sqrt 2)>
#<alt (+ (* (* v v) -5/8) 1/4)>
#<alt (* v v)>
#<alt (* (* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))>
#<alt (- 1 (* 3 (* v v)))>
#<alt (* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v)))))>
#<alt (* (sqrt 2) 1/4)>
#<alt (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4))>
#<alt (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8)>
#<alt (* (/ (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8) (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4))) (- 1 (* v v)))>
#<alt (/ (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8) (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4)))>
#<alt (/ (* 1/4 (sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))))) (/ 1 (- 1 (* v v))))>
#<alt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1)))>
#<alt (/ 1 (- 1 (* v v)))>
#<alt (* 1/4 (sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1)))))>
#<alt (* 3 (* v v))>
#<alt (sqrt (- 1 (* 3 (* v v))))>
#<alt (* (* v v) 9/64)>
#<alt (* v (* v -3/8))>
#<alt (* (* v v) (* (* v v) 9/64))>
#<alt (* (* v v) -9)>
#<alt (sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))))>
#<alt (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))>

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

Calls

66 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(/ (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8) (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4)))
1.0ms	v	@	0	(* (/ (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8) (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4))) (- 1 (* v v)))
1.0ms	v	@	inf	(* (/ (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8) (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4))) (- 1 (* v v)))
0.0ms	v	@	0	(+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4))
0.0ms	v	@	inf	(* (sqrt 2) (+ (* (* v v) -5/8) 1/4))

rewrite361.0ms (3.5%)

Memory

9.7MiB live, 591.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 798×	`accelerator-lowering-fma.f32`
4 798×	`accelerator-lowering-fma.f64`
4 674×	`/-lowering-/.f32`
4 674×	`/-lowering-/.f64`
4 418×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	304
1	244	260
2	1810	258
0	8227	236

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 854

Calls

Call 1

Inputs
(* (sqrt 2) (+ (* (* v v) -5/8) 1/4))
(sqrt 2)
(+ (* (* v v) -5/8) 1/4)
(* v v)
(* (* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(- 1 (* 3 (* v v)))
(* (* (sqrt 2) 1/4) (sqrt (- 1 (* 3 (* v v)))))
(* (sqrt 2) 1/4)
(+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4))
(+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8)
(* (/ (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8) (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4))) (- 1 (* v v)))
(/ (+ (* 2 (* (* v v) (* (* v v) 9/64))) -1/8) (+ (* (sqrt 2) (* v (* v -3/8))) (* (sqrt 2) -1/4)))
(/ (* 1/4 (sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))))) (/ 1 (- 1 (* v v))))
(* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1)))
(/ 1 (- 1 (* v v)))
(* 1/4 (sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1)))))
(* 3 (* v v))
(sqrt (- 1 (* 3 (* v v))))
(* (* v v) 9/64)
(* v (* v -3/8))
(* (* v v) (* (* v v) 9/64))
(* (* v v) -9)
(sqrt (* 2 (/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))))
(/ (+ (* (* v v) (* (* v v) -9)) 1) (+ (* (* v v) 3) 1))

Outputs
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64)))) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 v (.f64 (.f64 v #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 v v) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) (.f64 v #s(literal -5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))) (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 v (.f64 v v)) #s(literal -125/512 binary64)) (.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal -5/32 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (*.f64 v v)) #s(literal -125/512 binary64)) #s(literal 1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal -1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 25/64 binary64) #s(literal -1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal -5/32 binary64))) (.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (*.f64 v v)) #s(literal -125/512 binary64)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal -1/4 binary64)) (.f64 (fma.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 25/64 binary64) #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
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(.f64 (/.f64 (fma.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) #s(literal 81 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 9 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (.f64 v (.f64 v v)) #s(literal -9 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 3 binary64)) #s(literal -1 binary64)))))

simplify508.0ms (5%)

Memory

7.0MiB live, 755.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 910×	`accelerator-lowering-fma.f32`
18 910×	`accelerator-lowering-fma.f64`
5 588×	`-lowering-.f32`
5 588×	`-lowering-.f64`
4 994×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	3558
1	860	3444
2	3012	3298
0	8188	3154

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval499.0ms (4.9%)

Memory: -121.3MiB live, 328.9MiB allocated
Compiler: Compiled 48 940 to 3 726 computations (92.4% saved)

prune245.0ms (2.4%)

Memory

-24.3MiB live, 260.1MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 352	3	1 355
Fresh	0	0	0
Picked	3	1	4
Done	1	1	2
Total	1 356	5	1 361

Accuracy

100.0%

Counts

1 361 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶	97.8%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
▶	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))))
✓	99.8%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
✓	99.4%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 56 to 43 computations (23.2% saved)

simplify339.0ms (3.3%)

Memory

36.6MiB live, 538.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	cost-diff	1088	(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))))
✓	cost-diff	320	(.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))

Rules

12 276×	`accelerator-lowering-fma.f32`
12 276×	`accelerator-lowering-fma.f64`
2 252×	`+-lowering-+.f64`
2 252×	`+-lowering-+.f32`
2 088×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	149
1	55	133
2	112	133
3	188	133
4	396	133
5	730	133
6	1015	133
7	2163	133
8	3166	133
9	4901	133
10	5883	133
11	6770	133
12	7106	133
13	7932	133
0	8292	121

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize265.0ms (2.6%)

Memory

-24.4MiB live, 153.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 v #s(literal -6 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	98.4%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))

Samples

232.0ms

256×

valid

Compiler

Compiled 136 to 26 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 14.0ms (50.3% of total)

ival-sqrt: 5.0ms (17.9% of total)

ival-div: 4.0ms (14.4% of total)

ival-add: 2.0ms (7.2% of total)

ival-sub: 1.0ms (3.6% of total)

exact: 1.0ms (3.6% of total)

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

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

series7.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

13 → 132

Calls

Call 1

Inputs
#<alt (* 2 (+ (* (* v v) -3) 1))>
#<alt (* (- 1 (* v v)) (* 1/4 (sqrt (* 2 (+ (* (* v v) -3) 1)))))>
#<alt (- 1 (* v v))>
#<alt (* v v)>
#<alt (/ 1/2 (sqrt 2))>
#<alt (sqrt 2)>
#<alt (/ (* 1/4 (sqrt (+ (* v (* v -6)) 2))) (/ 1 (- 1 (* v v))))>
#<alt (/ 1 (- 1 (* v v)))>
#<alt (* 1/4 (sqrt (+ (* v (* v -6)) 2)))>
#<alt (sqrt (+ (* v (* v -6)) 2))>
#<alt (sqrt (* 2 (+ (* (* v v) -3) 1)))>
#<alt (* 1/4 (sqrt (* 2 (+ (* (* v v) -3) 1))))>
#<alt (* v -6)>

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

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(/ (* 1/4 (sqrt (+ (* v (* v -6)) 2))) (/ 1 (- 1 (* v v))))
1.0ms	v	@	0	(/ (* 1/4 (sqrt (+ (* v (* v -6)) 2))) (/ 1 (- 1 (* v v))))
0.0ms	v	@	inf	(* 1/4 (sqrt (+ (* v (* v -6)) 2)))
0.0ms	v	@	0	(* 1/4 (sqrt (+ (* v (* v -6)) 2)))
0.0ms	v	@	-inf	(* v -6)

rewrite456.0ms (4.5%)

Memory

-2.8MiB live, 636.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 846×	`accelerator-lowering-fma.f32`
5 846×	`accelerator-lowering-fma.f64`
4 614×	`-lowering-.f32`
4 614×	`-lowering-.f64`
2 962×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	105
1	121	99
2	791	99
3	6949	99
0	8571	89

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 977

Calls

Call 1

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

Outputs
(+.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -6 binary64))))
(+.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))
(+.f64 (/.f64 (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 36 binary64)))) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 36 binary64)))) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))) (/.f64 (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 36 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal 6 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(fma.f64 v (/.f64 (.f64 v (.f64 (.f64 v v) #s(literal 36 binary64))) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 v v) (/.f64 (.f64 (.f64 v v) #s(literal 36 binary64)) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(fma.f64 #s(literal -3 binary64) (.f64 v (.f64 #s(literal 2 binary64) v)) #s(literal 2 binary64))
(fma.f64 (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))
(fma.f64 (.f64 v #s(literal -6 binary64)) (/.f64 (.f64 v (.f64 v (.f64 v #s(literal -6 binary64)))) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(fma.f64 (.f64 v (.f64 v #s(literal -6 binary64))) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 v (.f64 v #s(literal -6 binary64))) (/.f64 (.f64 v (.f64 v #s(literal -6 binary64))) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(fma.f64 (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(fma.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 #s(literal 36 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(fma.f64 (.f64 v #s(literal -3 binary64)) (.f64 #s(literal 2 binary64) v) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 v v) #s(literal 36 binary64)) (/.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(fma.f64 (.f64 v (.f64 v (.f64 v #s(literal -6 binary64)))) (/.f64 (.f64 v #s(literal -6 binary64)) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v #s(literal -6 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) v) (.f64 v #s(literal -3 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 v (.f64 #s(literal 2 binary64) v)) #s(literal -3 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 v (.f64 (.f64 v v) #s(literal 36 binary64))) (/.f64 v (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) v) #s(literal -3 binary64)) v #s(literal 2 binary64))
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(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -27 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) (-.f64 (.f64 (*.f64 v v) #s(literal 9 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal -1 binary64))))
(pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (-.f64 (.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (-.f64 (.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)) #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 v v) (-.f64 (.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)) #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 36 binary64))) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 36 binary64))) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 36 binary64))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(.f64 (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(neg.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) (-.f64 (.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 36 binary64))) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) (-.f64 (.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal -12 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 36 binary64))) #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) #s(literal -27 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(.f64 (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))))
(.f64 #s(literal -1/4 binary64) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 #s(literal 2 binary64) (.f64 v #s(literal -3 binary64)))
(*.f64 v #s(literal -6 binary64))
(.f64 #s(literal -3 binary64) (.f64 #s(literal 2 binary64) v))
(*.f64 #s(literal -6 binary64) v)
(.f64 (.f64 v #s(literal -3 binary64)) #s(literal 2 binary64))

simplify585.0ms (5.7%)

Memory

8.9MiB live, 835.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 052×	`accelerator-lowering-fma.f32`
17 052×	`accelerator-lowering-fma.f64`
5 976×	`-lowering-.f32`
5 976×	`-lowering-.f64`
4 430×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	2228
1	1034	2127
2	3884	2057
0	8473	1957

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval368.0ms (3.6%)

Memory: -15.7MiB live, 347.6MiB allocated
Compiler: Compiled 36 990 to 2 727 computations (92.6% saved)

prune291.0ms (2.9%)

Memory

23.2MiB live, 299.6MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 289	2	1 291
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	1 291	5	1 296

Accuracy

100.0%

Counts

1 296 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
✓	97.8%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
	100.0%	(.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
✓	99.8%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
✓	99.4%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 341 to 138 computations (59.5% saved)

regimes27.0ms (0.3%)

Memory

-9.3MiB live, 30.8MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v 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 v v #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 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)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))))
(.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))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v #s(literal -3/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.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 v (.f64 #s(literal 3 binary64) v) #s(literal 1 binary64)))))) (-.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 v (*.f64 #s(literal 3 binary64) v) #s(literal 1 binary64))))))

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

Calls

3 calls:

17.0ms

(*.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)))

5.0ms

4.0ms

(*.f64 v v)

Results

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

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes9.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

(*.f64 v v)

2.0ms

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

Results

Accuracy	Segments	Branch
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

5.6MiB live, 5.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v 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 (.f64 v 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
99.8%	1	`v`
99.8%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
99.8%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes4.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Accuracy

Total -1.0b remaining (-238.3%)

Threshold costs -1b (-238.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms

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

1.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
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)

simplify26.0ms (0.3%)

Memory

-33.5MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	29	43

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness935.0ms (9.2%)

Memory

4.1MiB live, 566.7MiB allocated

Rules

21 458×	`accelerator-lowering-fma.f32`
21 458×	`accelerator-lowering-fma.f64`
16 546×	`accelerator-lowering-fma.f32`
16 546×	`accelerator-lowering-fma.f64`
6 820×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1058
1	538	1029
2	2038	972
3	5879	963
0	8242	908
0	45	304
1	244	260
2	1810	258
0	8227	236
0	24	105
1	121	99
2	791	99
3	6949	99
0	8571	89
0	429	3428
1	1355	3240
2	4917	3056
0	8241	2932
0	14	58
1	71	56
2	483	56
3	4843	56
0	8493	51

Stop Event

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

Compiler

Compiled 94 to 59 computations (37.2% saved)

preprocess53.0ms (0.5%)

Memory: 29.3MiB live, 147.6MiB allocated
Remove: (abs v)
Compiler: Compiled 230 to 148 computations (35.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

sample1.2s (12%)

preprocess368.0ms (3.6%)

explain197.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify346.0ms (3.4%)

localize43.0ms (0.4%)

series6.0ms (0.1%)

rewrite279.0ms (2.7%)

simplify512.0ms (5%)

eval68.0ms (0.7%)

prune66.0ms (0.6%)

simplify286.0ms (2.8%)

localize156.0ms (1.5%)

series21.0ms (0.2%)

rewrite417.0ms (4.1%)

simplify474.0ms (4.7%)

eval184.0ms (1.8%)

prune108.0ms (1.1%)

simplify273.0ms (2.7%)

localize140.0ms (1.4%)

series28.0ms (0.3%)

rewrite361.0ms (3.5%)

simplify508.0ms (5%)

eval499.0ms (4.9%)

prune245.0ms (2.4%)

simplify339.0ms (3.3%)

localize265.0ms (2.6%)

series7.0ms (0.1%)

rewrite456.0ms (4.5%)

simplify585.0ms (5.7%)

eval368.0ms (3.6%)

prune291.0ms (2.9%)

regimes27.0ms (0.3%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

simplify26.0ms (0.3%)

soundness935.0ms (9.2%)

preprocess53.0ms (0.5%)

end0.0ms (0%)

Profiling