Metrics for Falkner and Boettcher, Appendix B, 1

analyze334.0ms (2.4%)

Memory

18.0MiB live, 706.4MiB 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%	100%	0%	0%	0%	0%	3
0%	0%	100%	0%	0%	0%	0%	4
0%	0%	100%	0%	0%	0%	0%	5
0%	0%	100%	0%	0%	0%	0%	6
0%	0%	100%	0%	0%	0%	0%	7
0%	0%	100%	0%	0%	0%	0%	8
0%	0%	100%	0%	0%	0%	0%	9
0%	0%	100%	0%	0%	0%	0%	10
0%	0%	100%	0%	0%	0%	0%	11
0%	0%	100%	0%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample3.5s (25.3%)

Memory

68.5MiB live, 4 842.1MiB allocated

Samples

1.3s	3 766×	3	valid
600.0ms	2 071×	2	valid
583.0ms	8 135×	0	invalid
394.0ms	2 135×	1	valid
20.0ms	284×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-acos: 590.0ms (27.2% of total)

ival-sub: 548.0ms (25.2% of total)

ival-mult: 399.0ms (18.4% of total)

adjust: 311.0ms (14.3% of total)

ival-div: 279.0ms (12.8% of total)

exact: 27.0ms (1.2% of total)

ival-true: 12.0ms (0.6% of total)

ival-assert: 6.0ms (0.3% of total)

Bogosity

preprocess356.0ms (2.5%)

Memory

-39.5MiB live, 513.5MiB allocated

Algorithm

2×	egg-herbie

Rules

8 668×	`accelerator-lowering-fma.f32`
8 668×	`accelerator-lowering-fma.f64`
2 288×	`-lowering-.f32`
2 288×	`-lowering-.f64`
2 162×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	58	43
2	171	43
3	620	43
4	2458	43
5	4477	43
6	5330	43
7	6281	43
8	7284	43
9	7894	43
0	9	14
1	29	14
2	74	14
3	200	14
4	575	14
5	1232	14
6	2488	14
7	3858	14
8	5676	14
9	7330	14
10	7885	14
0	8099	12

Stop Event

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

Calls

Call 1

Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

Outputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Call 2

Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1)))
(neg (acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1))))

Outputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1)))
(acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(neg (acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1))))
(neg (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))))

Symmetry

(abs v)

explain264.0ms (1.9%)

Memory

13.0MiB live, 452.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
12	241	(1.0227505034521137e-200)	-	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
0	0	-	-	`(.f64 #s(literal 5 binary64) (.f64 v v))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 v v)`
0	0	-	-	`#s(literal 5 binary64)`
0	0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
0	0	-	-	`v`
0	0	-	-	`(-.f64 (*.f64 v v) #s(literal 1 binary64))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`	sensitivity	253	2

Confusion

	Predicted +	Predicted -
+	12	1
-	241	2

Precision

0.04743083003952569

Recall

0.9230769230769231

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	1	0
-	241	1	1

Precision?

0.050980392156862744

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms	242×	3	valid
27.0ms	122×	2	valid
24.0ms	124×	1	valid
2.0ms	24×	0	valid

Compiler

Compiled 134 to 40 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-acos: 28.0ms (29.4% of total)

adjust: 24.0ms (25.2% of total)

ival-sub: 17.0ms (17.8% of total)

ival-div: 13.0ms (13.6% of total)

ival-mult: 12.0ms (12.6% of total)

exact: 1.0ms (1% of total)

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

ival-true: 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
▶	98.8%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify267.0ms (1.9%)

Memory

-5.5MiB live, 342.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
✓	cost-diff	0	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓	cost-diff	128	(-.f64 (*.f64 v v) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))

Rules

8 668×	`accelerator-lowering-fma.f32`
8 668×	`accelerator-lowering-fma.f64`
2 288×	`-lowering-.f32`
2 288×	`-lowering-.f64`
2 162×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	50
1	29	50
2	74	50
3	200	50
4	575	50
5	1232	50
6	2488	50
7	3858	50
8	5676	50
9	7330	50
10	7885	50
0	8099	44

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(- (* v v) 1)

Outputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(- 1 (* 5 (* v v)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 5 (* v v))
(.f64 #s(literal 5 binary64) (.f64 v v))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(- (* v v) 1)
(fma.f64 v v #s(literal -1 binary64))

localize84.0ms (0.6%)

Memory

15.1MiB live, 178.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal 5 binary64) (.f64 v v))
✓	accuracy	98.8%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Samples

42.0ms	121×	3	valid
14.0ms	61×	2	valid
9.0ms	62×	1	valid
2.0ms	12×	0	valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

adjust: 15.0ms (29% of total)

ival-acos: 15.0ms (29% of total)

ival-sub: 9.0ms (17.4% of total)

ival-mult: 7.0ms (13.5% of total)

ival-div: 6.0ms (11.6% of total)

exact: 1.0ms (1.9% of total)

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

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

series7.0ms (0%)

Memory

-31.9MiB live, 6.4MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (- 1 (* 5 (* v v)))>
#<alt (- (* v v) 1)>
#<alt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))>
#<alt (/ (- 1 (* 5 (* v v))) (- (* v v) 1))>
#<alt (* 5 (* v v))>
#<alt (* v v)>

Outputs
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt -1>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(* 5 (* v v))
0.0ms	v	@	inf	(- 1 (* 5 (* v v)))
0.0ms	v	@	0	(- 1 (* 5 (* v v)))
0.0ms	v	@	0	(* 5 (* v v))
0.0ms	v	@	inf	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))

rewrite335.0ms (2.4%)

Memory

42.7MiB live, 582.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 946×	`accelerator-lowering-fma.f32`
4 946×	`accelerator-lowering-fma.f64`
4 582×	`-lowering-.f32`
4 582×	`-lowering-.f64`
3 506×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
1	64	47
2	524	47
3	6816	47
0	8164	41

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 614

Calls

Call 1

Inputs
(- 1 (* 5 (* v v)))
(- (* v v) 1)
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
(* 5 (* v v))
(* v v)

Outputs
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)))
(+.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))))
(fma.f64 #s(literal 5 binary64) (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) v) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 v v)) #s(literal 5 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 #s(literal 5 binary64) v) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64))) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 v #s(literal -5 binary64))) v #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (-.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
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(-.f64 #s(literal 0 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)))
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(.f64 v (.f64 #s(literal 5 binary64) v))
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(.f64 #s(literal -1 binary64) (.f64 (*.f64 v v) #s(literal -5 binary64)))
(.f64 #s(literal -5 binary64) (neg.f64 (.f64 v v)))
(.f64 (.f64 #s(literal 5 binary64) v) v)
(.f64 (.f64 #s(literal 5 binary64) v) (neg.f64 (neg.f64 v)))
(.f64 (neg.f64 (.f64 v v)) #s(literal -5 binary64))
(.f64 (.f64 v #s(literal -5 binary64)) (neg.f64 v))
(.f64 (neg.f64 (neg.f64 (.f64 v v))) #s(literal 5 binary64))
(.f64 (neg.f64 (.f64 v #s(literal -5 binary64))) v)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 v v))
(*.f64 v v)
(.f64 (.f64 v v) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))

simplify235.0ms (1.7%)

Memory

-7.4MiB live, 383.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 768×	`accelerator-lowering-fma.f32`
7 768×	`accelerator-lowering-fma.f64`
4 212×	`-lowering-.f32`
4 212×	`-lowering-.f64`
1 926×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	516
1	100	510
2	269	506
3	659	506
4	2016	504
5	5113	504
0	8075	457

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
-1
(- (pow v 2) 1)
(- (pow v 2) 1)
(- (pow v 2) 1)
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)

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

eval104.0ms (0.7%)

Memory: 15.5MiB live, 186.8MiB allocated
Compiler: Compiled 22 054 to 2 167 computations (90.2% saved)

prune79.0ms (0.6%)

Memory

-2.5MiB live, 191.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	699	7	706
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	700	7	707

Accuracy

98.9%

Counts

707 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	2.5%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
▶	98.7%	(acos.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
▶	98.4%	(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	98.8%	(acos.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #s(literal -1 binary64)))
▶	98.8%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶	97.5%	(acos.f64 #s(literal -1 binary64))

Compiler

Compiled 306 to 142 computations (53.6% saved)

simplify418.0ms (3%)

Memory

-5.8MiB live, 507.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 v #s(literal -5 binary64))
✓	cost-diff	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
✓	cost-diff	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
✓	cost-diff	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	cost-diff	(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
✓	cost-diff	(.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
✓	cost-diff	(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	cost-diff	(acos.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	cost-diff	(*.f64 v #s(literal 4 binary64))
✓	cost-diff	(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
✓	cost-diff	(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	cost-diff	(acos.f64 #s(literal -1 binary64))
✓	cost-diff	(fma.f64 (.f64 v v) (fma.f64 v (.f64 v v) v) v)
✓	cost-diff	(.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v))
✓	cost-diff	(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #s(literal -1 binary64))
✓	cost-diff	(acos.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #s(literal -1 binary64)))

Rules

18 794×	`accelerator-lowering-fma.f32`
18 794×	`accelerator-lowering-fma.f64`
4 082×	`-lowering-.f32`
4 082×	`-lowering-.f64`
3 016×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	189
1	80	189
2	181	183
3	427	175
4	662	175
5	891	175
6	1040	175
7	1337	175
8	3952	175
9	5507	175
0	8104	158

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(acos (+ (* v (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))) -1))
(+ (* v (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))) -1)
v
(* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))
4
(+ (* (* v v) (+ (* v (* v v)) v)) v)
(* v v)
(+ (* v (* v v)) v)
-1
(acos -1)
-1
(acos (+ (* v (* v 4)) -1))
(+ (* v (* v 4)) -1)
v
(* v 4)
4
-1
(acos (+ (* v (* v (+ (* (* v v) 4) 4))) -1))
(+ (* v (* v (+ (* (* v v) 4) 4))) -1)
v
(* v (+ (* (* v v) 4) 4))
(+ (* (* v v) 4) 4)
(* v v)
4
-1
(acos (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)))
(/ (+ (* v (* v -5)) 1) (+ (* v v) -1))
(+ (* v (* v -5)) 1)
v
(* v -5)
-5
1
(+ (* v v) -1)
-1

Outputs
(acos (+ (* v (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))) -1))
(acos.f64 (fma.f64 v (.f64 v (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+ (* v (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))) -1)
(fma.f64 v (.f64 v (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v)) #s(literal 4 binary64))) #s(literal -1 binary64))
v
(* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))
(.f64 v (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v)) #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(+ (* (* v v) (+ (* v (* v v)) v)) v)
(fma.f64 v (.f64 v (fma.f64 v (.f64 v v) v)) v)
(* v v)
(*.f64 v v)
(+ (* v (* v v)) v)
(fma.f64 v (*.f64 v v) v)
-1
#s(literal -1 binary64)
(acos -1)
(acos.f64 #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(acos (+ (* v (* v 4)) -1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(+ (* v (* v 4)) -1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(acos (+ (* v (* v (+ (* (* v v) 4) 4))) -1))
(acos.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64)))
(+ (* v (* v (+ (* (* v v) 4) 4))) -1)
(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v)) #s(literal -1 binary64))
v
(* v (+ (* (* v v) 4) 4))
(.f64 #s(literal 4 binary64) (fma.f64 v (.f64 v v) v))
(+ (* (* v v) 4) 4)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))
(* v v)
(*.f64 v v)
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(acos (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/ (+ (* v (* v -5)) 1) (+ (* v v) -1))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(+ (* v (* v -5)) 1)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(+ (* v v) -1)
(fma.f64 v v #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize326.0ms (2.3%)

Memory

28.5MiB live, 497.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 v v #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 v #s(literal -5 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
✓	accuracy	98.8%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	100.0%	(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
✓	accuracy	98.8%	(acos.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 v #s(literal 4 binary64))
✓	accuracy	98.8%	(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(acos.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v))
✓	accuracy	98.8%	(acos.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #s(literal -1 binary64)))

Samples

129.0ms	116×	3	valid
65.0ms	62×	1	valid
40.0ms	59×	2	valid
7.0ms	5×	4	valid
3.0ms	12×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 176 to 33 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-acos: 55.0ms (31.8% of total)

adjust: 47.0ms (27.2% of total)

ival-mult: 36.0ms (20.8% of total)

ival-add: 28.0ms (16.2% of total)

ival-div: 6.0ms (3.5% of total)

exact: 1.0ms (0.6% of total)

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

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

series15.0ms (0.1%)

Memory

-20.1MiB live, 17.0MiB allocated

Counts

18 → 204

Calls

Call 1

Inputs
#<alt (acos (+ (* v (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))) -1))>
#<alt (+ (* v (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))) -1)>
#<alt (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))>
#<alt (+ (* (* v v) (+ (* v (* v v)) v)) v)>
#<alt (acos -1)>
#<alt (acos (+ (* v (* v 4)) -1))>
#<alt (+ (* v (* v 4)) -1)>
#<alt (* v 4)>
#<alt (acos (+ (* v (* v (+ (* (* v v) 4) 4))) -1))>
#<alt (+ (* v (* v (+ (* (* v v) 4) 4))) -1)>
#<alt (* v (+ (* (* v v) 4) 4))>
#<alt (+ (* (* v v) 4) 4)>
#<alt (acos (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)))>
#<alt (/ (+ (* v (* v -5)) 1) (+ (* v v) -1))>
#<alt (+ (* v (* v -5)) 1)>
#<alt (* v -5)>
#<alt (* v v)>
#<alt (+ (* v v) -1)>

Outputs
#<alt (acos (- (* 4 (* v (+ v (* (pow v 2) (+ v (pow v 3)))))) 1))>
#<alt (acos (- (* 4 (* v (+ v (* (pow v 2) (+ v (pow v 3)))))) 1))>
#<alt (acos (- (* 4 (* v (+ v (* (pow v 2) (+ v (pow v 3)))))) 1))>
#<alt (acos (- (* 4 (* v (+ v (* (pow v 2) (+ v (pow v 3)))))) 1))>
#<alt (acos (- (* 4 (* v (+ v (+ (pow v 3) (pow v 5))))) 1))>
#<alt (acos (- (* 4 (* v (+ v (+ (pow v 3) (pow v 5))))) 1))>
#<alt (acos (- (* 4 (* v (+ v (+ (pow v 3) (pow v 5))))) 1))>
#<alt (acos (- (* 4 (* v (+ v (+ (pow v 3) (pow v 5))))) 1))>
#<alt (acos (- (* 4 (* v (- (* -1 (* (pow v 2) (+ (* -1 v) (* -1 (pow v 3))))) (* -1 v)))) 1))>
#<alt (acos (- (* 4 (* v (- (* -1 (* (pow v 2) (+ (* -1 v) (* -1 (pow v 3))))) (* -1 v)))) 1))>
#<alt (acos (- (* 4 (* v (- (* -1 (* (pow v 2) (+ (* -1 v) (* -1 (pow v 3))))) (* -1 v)))) 1))>
#<alt (acos (- (* 4 (* v (- (* -1 (* (pow v 2) (+ (* -1 v) (* -1 (pow v 3))))) (* -1 v)))) 1))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt (* 4 (pow v 6))>
#<alt (* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))>
#<alt (* 4 (pow v 6))>
#<alt (* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))>
#<alt (* 4 v)>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* v (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2))))))>
#<alt (* v (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2))))))>
#<alt (* 4 (pow v 5))>
#<alt (* (pow v 5) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 5) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))>
#<alt (* (pow v 5) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))>
#<alt (* 4 (pow v 5))>
#<alt (* (pow v 5) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 5) (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 4)))>
#<alt (* -1 (* (pow v 5) (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 4)))>
#<alt v>
#<alt (* v (+ 1 (pow v 2)))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1 (pow v 2)))))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1 (pow v 2)))))>
#<alt (pow v 5)>
#<alt (* (pow v 5) (+ 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 5) (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))))>
#<alt (* (pow v 5) (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))))>
#<alt (pow v 5)>
#<alt (* (pow v 5) (+ 1 (/ 1 (pow v 2))))>
#<alt (* -1 (* (pow v 5) (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1)))>
#<alt (* -1 (* (pow v 5) (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1)))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))>
#<alt (acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))>
#<alt (acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))>
#<alt (acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* 4 v)>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* 4 (pow v 3))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 4 (pow v 3))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt 4>
#<alt (+ 4 (* 4 (pow v 2)))>
#<alt (+ 4 (* 4 (pow v 2)))>
#<alt (+ 4 (* 4 (pow v 2)))>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt -1>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>

Calls

51 calls:

Time	Variable		Point	Expression
6.0ms	v	@	0	(* v -5)
1.0ms	v	@	-inf	(+ (* v (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))) -1)
0.0ms	v	@	-inf	(acos (+ (* v (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))) -1))
0.0ms	v	@	inf	(+ (* v (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))) -1)
0.0ms	v	@	-inf	(* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))

rewrite387.0ms (2.8%)

Memory

-1.0MiB live, 694.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 360×	`-lowering-.f32`
5 360×	`-lowering-.f64`
4 680×	`accelerator-lowering-fma.f32`
4 680×	`accelerator-lowering-fma.f64`
4 372×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	167
1	194	159
2	1461	159
0	8149	143

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 503

Calls

Call 1

Inputs
(acos (+ (* v (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))) -1))
(+ (* v (* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))) -1)
(* 4 (+ (* (* v v) (+ (* v (* v v)) v)) v))
(+ (* (* v v) (+ (* v (* v v)) v)) v)
(acos -1)
(acos (+ (* v (* v 4)) -1))
(+ (* v (* v 4)) -1)
(* v 4)
(acos (+ (* v (* v (+ (* (* v v) 4) 4))) -1))
(+ (* v (* v (+ (* (* v v) 4) 4))) -1)
(* v (+ (* (* v v) 4) 4))
(+ (* (* v v) 4) 4)
(acos (/ (+ (* v (* v -5)) 1) (+ (* v v) -1)))
(/ (+ (* v (* v -5)) 1) (+ (* v v) -1))
(+ (* v (* v -5)) 1)
(* v -5)
(* v v)
(+ (* v v) -1)

Outputs
(acos.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (fma.f64 (.f64 v v) (.f64 (fma.f64 v v #s(literal 1 binary64)) v) v) (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)))) (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)))) (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (.f64 (*.f64 v v) #s(literal -5 binary64)))))
(/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (.f64 (*.f64 v v) #s(literal -5 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal 15625 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -5 binary64))))))
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(pow.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)))) (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -5 binary64))))))
(.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))))
(*.f64 v #s(literal -5 binary64))
(*.f64 #s(literal -5 binary64) v)
(exp.f64 (log.f64 (*.f64 v v)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(*.f64 v v)
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(+.f64 (*.f64 v v) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 v v))
(-.f64 (/.f64 (.f64 v (.f64 v (*.f64 v v))) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 v v))) (/.f64 (.f64 v (.f64 v (.f64 v v))) (-.f64 #s(literal -1 binary64) (*.f64 v v))))
(fma.f64 v v #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal -1 binary64))) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal -1 binary64))) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64))))
(/.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal -1 binary64))))
(/.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (-.f64 #s(literal -1 binary64) (.f64 v v)))
(/.f64 (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 v v #s(literal 1 binary64))) (.f64 (fma.f64 v v #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))) (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 1 binary64)))) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) (.f64 v v)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 v v) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 v (.f64 v v) #s(literal 1 binary64)) (-.f64 (.f64 v (.f64 v v)) #s(literal 1 binary64))) (.f64 (fma.f64 v v (-.f64 #s(literal 1 binary64) (.f64 v #s(literal 1 binary64)))) (fma.f64 v v (+.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64))))))
(/.f64 (.f64 (fma.f64 v (.f64 v v) #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (.f64 (fma.f64 v v (-.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64)))) (+.f64 v #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (-.f64 (.f64 v (.f64 v v)) #s(literal 1 binary64))) (.f64 (+.f64 v #s(literal -1 binary64)) (fma.f64 v v (+.f64 #s(literal 1 binary64) (.f64 v #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (-.f64 (*.f64 v v) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 v (.f64 v v)) #s(literal 1 binary64)) (fma.f64 v (.f64 v v) #s(literal 1 binary64))) (.f64 (fma.f64 v v (+.f64 #s(literal 1 binary64) (.f64 v #s(literal 1 binary64)))) (fma.f64 v v (-.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 v (.f64 v v)) #s(literal 1 binary64)) (-.f64 (.f64 v v) #s(literal 1 binary64))) (.f64 (fma.f64 v v (+.f64 #s(literal 1 binary64) (.f64 v #s(literal 1 binary64)))) (+.f64 v #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (.f64 v v) #s(literal 1 binary64)) (fma.f64 v (.f64 v v) #s(literal 1 binary64))) (.f64 (+.f64 v #s(literal 1 binary64)) (fma.f64 v v (-.f64 #s(literal 1 binary64) (*.f64 v #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 v v #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 v v))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 v v #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 v v #s(literal 1 binary64))) (/.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 v v #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))) (.f64 (/.f64 (.f64 v (.f64 v (*.f64 v v))) (fma.f64 v v #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal -1 binary64))) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (.f64 (*.f64 v v) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 v v) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))
(*.f64 (+.f64 v #s(literal -1 binary64)) (+.f64 v #s(literal 1 binary64)))

simplify411.0ms (2.9%)

Memory

-6.5MiB live, 650.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 418×	`accelerator-lowering-fma.f32`
13 418×	`accelerator-lowering-fma.f64`
4 796×	`-lowering-.f32`
4 796×	`-lowering-.f64`
1 690×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	1800
1	366	1736
2	1025	1672
3	3501	1664
0	8040	1517

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(acos (- (* 4 (* v (+ v (* (pow v 2) (+ v (pow v 3)))))) 1))
(acos (- (* 4 (* v (+ v (* (pow v 2) (+ v (pow v 3)))))) 1))
(acos (- (* 4 (* v (+ v (* (pow v 2) (+ v (pow v 3)))))) 1))
(acos (- (* 4 (* v (+ v (* (pow v 2) (+ v (pow v 3)))))) 1))
(acos (- (* 4 (* v (+ v (+ (pow v 3) (pow v 5))))) 1))
(acos (- (* 4 (* v (+ v (+ (pow v 3) (pow v 5))))) 1))
(acos (- (* 4 (* v (+ v (+ (pow v 3) (pow v 5))))) 1))
(acos (- (* 4 (* v (+ v (+ (pow v 3) (pow v 5))))) 1))
(acos (- (* 4 (* v (- (* -1 (* (pow v 2) (+ (* -1 v) (* -1 (pow v 3))))) (* -1 v)))) 1))
(acos (- (* 4 (* v (- (* -1 (* (pow v 2) (+ (* -1 v) (* -1 (pow v 3))))) (* -1 v)))) 1))
(acos (- (* 4 (* v (- (* -1 (* (pow v 2) (+ (* -1 v) (* -1 (pow v 3))))) (* -1 v)))) 1))
(acos (- (* 4 (* v (- (* -1 (* (pow v 2) (+ (* -1 v) (* -1 (pow v 3))))) (* -1 v)))) 1))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(* 4 (pow v 6))
(* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))
(* 4 (pow v 6))
(* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))
(* 4 v)
(* v (+ 4 (* 4 (pow v 2))))
(* v (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2))))))
(* v (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2))))))
(* 4 (pow v 5))
(* (pow v 5) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 5) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(* (pow v 5) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(* 4 (pow v 5))
(* (pow v 5) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* -1 (* (pow v 5) (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 4)))
(* -1 (* (pow v 5) (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 4)))
v
(* v (+ 1 (pow v 2)))
(* v (+ 1 (* (pow v 2) (+ 1 (pow v 2)))))
(* v (+ 1 (* (pow v 2) (+ 1 (pow v 2)))))
(pow v 5)
(* (pow v 5) (+ 1 (/ 1 (pow v 2))))
(* (pow v 5) (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))))
(* (pow v 5) (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))))
(pow v 5)
(* (pow v 5) (+ 1 (/ 1 (pow v 2))))
(* -1 (* (pow v 5) (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1)))
(* -1 (* (pow v 5) (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1)))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
-1
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 v)
(* v (+ 4 (* 4 (pow v 2))))
(* v (+ 4 (* 4 (pow v 2))))
(* v (+ 4 (* 4 (pow v 2))))
(* 4 (pow v 3))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 3))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
4
(+ 4 (* 4 (pow v 2)))
(+ 4 (* 4 (pow v 2)))
(+ 4 (* 4 (pow v 2)))
(* 4 (pow v 2))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 2))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
-1
(- (pow v 2) 1)
(- (pow v 2) 1)
(- (pow v 2) 1)
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))

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

eval317.0ms (2.3%)

Memory: -0.0MiB live, 230.5MiB allocated
Compiler: Compiled 23 016 to 2 257 computations (90.2% saved)

prune114.0ms (0.8%)

Memory

-8.5MiB live, 149.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	742	1	743
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	743	7	750

Accuracy

98.9%

Counts

750 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	2.1%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
✓	98.7%	(acos.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	98.4%	(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	98.8%	(acos.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #s(literal -1 binary64)))
✓	98.8%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	97.5%	(acos.f64 #s(literal -1 binary64))

Compiler

Compiled 140 to 67 computations (52.1% saved)

simplify290.0ms (2.1%)

Memory

28.4MiB live, 386.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	cost-diff	320	(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	8000	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))

Rules

7 738×	`accelerator-lowering-fma.f32`
7 738×	`accelerator-lowering-fma.f64`
2 672×	`-lowering-.f32`
2 672×	`-lowering-.f64`
1 768×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	320
1	68	320
2	140	320
3	257	320
4	508	320
5	970	320
6	2032	320
7	3795	309
8	6446	309
0	8122	273

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (/ (* (* (PI) 1/2) (* (PI) 1/2)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))) (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))))
(/ (* (* (PI) 1/2) (* (PI) 1/2)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))
(* (* (PI) 1/2) (* (PI) 1/2))
(* (PI) 1/2)
(PI)
1/2
(+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))
(asin (+ (* v (* v 4)) -1))
(+ (* v (* v 4)) -1)
v
(* v 4)
4
-1
(/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))
(pow (asin (+ (* v (* v 4)) -1)) 2)
2
(/ (- (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
(- (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(PI)
1/4
(* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
(asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))
(/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))
(+ (* 5 (* v v)) -1)
5
(* v v)
v
-1
(+ (* v v) -1)
(acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))

Outputs
(- (/ (* (* (PI) 1/2) (* (PI) 1/2)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))) (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (* (* (PI) 1/2) (* (PI) 1/2)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))
(* (* (PI) 1/2) (* (PI) 1/2))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(asin (+ (* v (* v 4)) -1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(+ (* v (* v 4)) -1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))
(/.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))
(pow (asin (+ (* v (* v 4)) -1)) 2)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (- (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
(/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(- (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(* (* (PI) (PI)) 1/4)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
(.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(+ (* 5 (* v v)) -1)
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
-1
#s(literal -1 binary64)
(+ (* v v) -1)
(fma.f64 v v #s(literal -1 binary64))
(acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

localize303.0ms (2.2%)

Memory

7.8MiB live, 469.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	accuracy	98.7%	(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	9.5%	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
✓	accuracy	7.2%	(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	99.3%	(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	accuracy	98.7%	(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	9.2%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	accuracy	7.0%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))

Samples

137.0ms	114×	2	valid
89.0ms	137×	1	valid
17.0ms	5×	0	valid

Compiler

Compiled 291 to 33 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-div: 54.0ms (26% of total)

ival-asin: 44.0ms (21.2% of total)

ival-mult: 41.0ms (19.7% of total)

ival-acos: 22.0ms (10.6% of total)

adjust: 17.0ms (8.2% of total)

ival-add: 12.0ms (5.8% of total)

ival-sub: 8.0ms (3.9% of total)

ival-pow2: 6.0ms (2.9% of total)

ival-pi: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series17.0ms (0.1%)

Memory

-33.9MiB live, 25.6MiB allocated

Counts

12 → 96

Calls

Call 1

Inputs
#<alt (- (/ (* (* (PI) 1/2) (* (PI) 1/2)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))) (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))))>
#<alt (* (* (PI) 1/2) (* (PI) 1/2))>
#<alt (/ (* (* (PI) 1/2) (* (PI) 1/2)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))>
#<alt (* (PI) 1/2)>
#<alt (/ (- (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))>
#<alt (- (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))>
#<alt (* (* (PI) (PI)) 1/4)>
#<alt (* (PI) (PI))>
#<alt (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))>
#<alt (asin (+ (* v (* v 4)) -1))>
#<alt (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))>
#<alt (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))>

Outputs
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	v	@	0	(/ (- (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
3.0ms	v	@	0	(- (/ (* (* (PI) 1/2) (* (PI) 1/2)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))) (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))))
2.0ms	v	@	inf	(- (/ (* (* (PI) 1/2) (* (PI) 1/2)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))) (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))))
1.0ms	v	@	inf	(/ (- (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
0.0ms	v	@	-inf	(/ (- (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))

rewrite472.0ms (3.4%)

Memory

33.1MiB live, 779.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 490×	`-lowering-.f32`
5 490×	`-lowering-.f64`
4 132×	`/-lowering-/.f32`
4 132×	`/-lowering-/.f64`
2 806×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	170
1	201	149
2	1832	149
0	8505	133

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 625

Calls

Call 1

Inputs
(- (/ (* (* (PI) 1/2) (* (PI) 1/2)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))) (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))))
(* (* (PI) 1/2) (* (PI) 1/2))
(/ (* (* (PI) 1/2) (* (PI) 1/2)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))
(* (PI) 1/2)
(/ (- (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
(- (* (* (PI) (PI)) 1/4) (* (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))
(asin (+ (* v (* v 4)) -1))
(acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))
(asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))

Outputs
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -3 binary64)) (fma.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (pow.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))) (/.f64 (pow.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64))) #s(literal -3 binary64)) (fma.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (pow.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64)))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64))))) (/.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))) (/.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (/.f64 (.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64)))) (.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64))))) (/.f64 (.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))) (/.f64 (.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (/.f64 (.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
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(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (PI.f64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64))

simplify320.0ms (2.3%)

Memory

26.7MiB live, 491.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 404×	`accelerator-lowering-fma.f32`
8 404×	`accelerator-lowering-fma.f64`
2 714×	`-lowering-.f32`
2 714×	`-lowering-.f64`
2 060×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	2004
1	58	2004
2	110	2004
3	221	2004
4	460	2004
5	873	2004
6	1731	2004
7	3858	1872
8	5453	1872
9	6462	1872
10	6941	1872
11	7056	1872
12	7117	1872
13	7808	1872
0	8162	1644

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2)) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))

Outputs
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
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(- (* 1/4 (/ (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))) (/ (pow (asin (- (* 4 (pow v 2)) 1)) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

eval208.0ms (1.5%)

Memory: -8.8MiB live, 352.7MiB allocated
Compiler: Compiled 76 712 to 3 238 computations (95.8% saved)

prune137.0ms (1%)

Memory

-37.4MiB live, 383.0MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 067	12	1 079
Fresh	0	0	0
Picked	2	0	2
Done	0	5	5
Total	1 069	17	1 086

Accuracy

98.9%

Counts

1 086 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.1%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
	3.1%	(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
▶	2.5%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	3.1%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	5.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	5.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
▶	98.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	2.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
	2.5%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)) (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))))))
	2.5%	(.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
▶	2.8%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))))
▶	2.2%	(.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -2 binary64)))
✓	98.7%	(acos.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	98.4%	(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	98.8%	(acos.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #s(literal -1 binary64)))
✓	98.8%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	97.5%	(acos.f64 #s(literal -1 binary64))

Compiler

Compiled 1 635 to 553 computations (66.2% saved)

simplify283.0ms (2%)

Memory

-0.1MiB live, 425.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	(.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
✓	cost-diff	7808	(-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
✓	cost-diff	13568	(.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -2 binary64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	cost-diff	8192	(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) (PI.f64))
✓	cost-diff	0	(fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))
✓	cost-diff	192	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
✓	cost-diff	320	(.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	cost-diff	8576	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))

Rules

6 452×	`accelerator-lowering-fma.f32`
6 452×	`accelerator-lowering-fma.f64`
3 978×	`-lowering-.f32`
3 978×	`-lowering-.f64`
2 488×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	802
1	169	800
2	458	767
3	1562	765
4	5066	761
0	8267	677

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))) (* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2)))) (* (/ 2 (PI)) (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))))
(- (* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))) (* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2))))
(* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1))))
1
(+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))
(PI)
1/2
(acos (+ (* v (* v 4)) -1))
(+ (* v (* v 4)) -1)
v
(* v 4)
4
-1
(* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2)))
(/ 2 (PI))
2
(- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
1/4
(pow (acos (+ (* v (* v 4)) -1)) 2)
(* (/ 2 (PI)) (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1))))
(* (/ -1 (+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1)))) (+ (* (PI) (* (PI) -1/4)) (pow (asin (+ (* 4 (* v v)) -1)) 2)))
(/ -1 (+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1))))
-1
(+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1)))
(PI)
1/2
(asin (+ (* 4 (* v v)) -1))
(+ (* 4 (* v v)) -1)
4
(* v v)
v
(+ (* (PI) (* (PI) -1/4)) (pow (asin (+ (* 4 (* v v)) -1)) 2))
(* (PI) -1/4)
-1/4
(pow (asin (+ (* 4 (* v v)) -1)) 2)
2
(/ (+ (* (* (PI) (PI)) 1/4) (neg (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
(+ (* (* (PI) (PI)) 1/4) (neg (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)))
(* (PI) (PI))
(PI)
1/4
(neg (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2))
(pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)
(asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))
(/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))
(+ (* 5 (* v v)) -1)
5
(* v v)
v
-1
(+ (* v v) -1)
2
(acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))
(+ (* 1/4 (/ (* (PI) (PI)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))) (neg (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))))
1/4
(/ (* (PI) (PI)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))
(* (PI) (PI))
(PI)
(+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))
1/2
(asin (+ (* v (* v 4)) -1))
(+ (* v (* v 4)) -1)
v
(* v 4)
4
-1
(neg (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))))
(/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))
(pow (asin (+ (* v (* v 4)) -1)) 2)
2
(* (- (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2))) (pow (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) -2))
(- (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2)))
(* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4))
(+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))
(PI)
1/2
(asin (+ (* v (* v 4)) -1))
(+ (* v (* v 4)) -1)
v
(* v 4)
4
-1
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
1/4
(* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2))
(pow (asin (+ (* v (* v 4)) -1)) 2)
2
(pow (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) -2)
-2

Outputs
(/ (- (* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))) (* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2)))) (* (/ 2 (PI)) (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))))
(- (* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))) (* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64))) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))
(* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(acos (+ (* v (* v 4)) -1))
(acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(+ (* v (* v 4)) -1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2)))
(neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)))))
(/ 2 (PI))
(/.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(* (* (PI) (PI)) 1/4)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/4
#s(literal 1/4 binary64)
(pow (acos (+ (* v (* v 4)) -1)) 2)
(pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))
(* (/ 2 (PI)) (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1))))
(fma.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))
(* (/ -1 (+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1)))) (+ (* (PI) (* (PI) -1/4)) (pow (asin (+ (* 4 (* v v)) -1)) 2)))
(neg.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))))
(/ -1 (+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1))))
(/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))
-1
#s(literal -1 binary64)
(+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(asin (+ (* 4 (* v v)) -1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(+ (* 4 (* v v)) -1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
4
#s(literal 4 binary64)
(* v v)
(*.f64 v v)
v
(+ (* (PI) (* (PI) -1/4)) (pow (asin (+ (* 4 (* v v)) -1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(* (PI) -1/4)
(*.f64 (PI.f64) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(pow (asin (+ (* 4 (* v v)) -1)) 2)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ (* (* (PI) (PI)) 1/4) (neg (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
(neg.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(+ (* (* (PI) (PI)) 1/4) (neg (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(neg (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2))
(neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
(asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(+ (* 5 (* v v)) -1)
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
-1
#s(literal -1 binary64)
(+ (* v v) -1)
(fma.f64 v v #s(literal -1 binary64))
2
#s(literal 2 binary64)
(acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+ (* 1/4 (/ (* (PI) (PI)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))) (neg (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))))
(neg.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))))
1/4
#s(literal 1/4 binary64)
(/ (* (PI) (PI)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))
(/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
(+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
1/2
#s(literal 1/2 binary64)
(asin (+ (* v (* v 4)) -1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(+ (* v (* v 4)) -1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(neg (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))))
(/.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))
(/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))
(/.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))
(pow (asin (+ (* v (* v 4)) -1)) 2)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (- (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2))) (pow (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) -2))
(neg.f64 (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))))
(- (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2)))
(neg.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))))
(+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(asin (+ (* v (* v 4)) -1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(+ (* v (* v 4)) -1)
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(* (* (PI) (PI)) 1/4)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/4
#s(literal 1/4 binary64)
(* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2))
(.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(pow (asin (+ (* v (* v 4)) -1)) 2)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) -2)
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize646.0ms (4.6%)

Memory

18.4MiB live, 1 042.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	56.1%	(-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
✓	accuracy	50.2%	(.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -2 binary64)))
✓	accuracy	9.2%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	accuracy	99.3%	(/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	accuracy	98.7%	(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	9.2%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓	accuracy	7.0%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
✓	accuracy	99.4%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	accuracy	98.7%	(asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	9.5%	(fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
✓	accuracy	7.2%	(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))))
✓	accuracy	98.7%	(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
✓	accuracy	9.2%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
✓	accuracy	6.4%	(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	accuracy	98.8%	(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
✓	accuracy	98.5%	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))

Samples

295.0ms	123×	2	valid
168.0ms	128×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 755 to 63 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 382.0ms

ival-mult: 80.0ms (20.9% of total)

ival-pow2: 67.0ms (17.5% of total)

ival-asin: 54.0ms (14.1% of total)

adjust: 38.0ms (9.9% of total)

ival-acos: 38.0ms (9.9% of total)

ival-pow: 32.0ms (8.4% of total)

ival-add: 28.0ms (7.3% of total)

ival-div: 25.0ms (6.5% of total)

ival-sub: 9.0ms (2.4% of total)

ival-neg: 5.0ms (1.3% of total)

ival-pi: 3.0ms (0.8% of total)

exact: 2.0ms (0.5% of total)

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

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

series30.0ms (0.2%)

Memory

5.3MiB live, 86.0MiB allocated

Counts

24 → 264

Calls

Call 1

Inputs
#<alt (/ (- (* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))) (* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2)))) (* (/ 2 (PI)) (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))))>
#<alt (* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1))))>
#<alt (* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2)))>
#<alt (* (/ 2 (PI)) (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1))))>
#<alt (* (/ -1 (+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1)))) (+ (* (PI) (* (PI) -1/4)) (pow (asin (+ (* 4 (* v v)) -1)) 2)))>
#<alt (/ -1 (+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1))))>
#<alt (+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1)))>
#<alt (PI)>
#<alt (/ (+ (* (* (PI) (PI)) 1/4) (neg (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))>
#<alt (+ (* (* (PI) (PI)) 1/4) (neg (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)))>
#<alt (* (PI) (PI))>
#<alt (+ (* 1/4 (/ (* (PI) (PI)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))) (neg (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))))>
#<alt (/ (* (PI) (PI)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))>
#<alt (* (- (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2))) (pow (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) -2))>
#<alt (- (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2)))>
#<alt (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4))>
#<alt (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))>
#<alt (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2))>
#<alt (acos (+ (* v (* v 4)) -1))>
#<alt (+ (* (PI) (* (PI) -1/4)) (pow (asin (+ (* 4 (* v v)) -1)) 2))>
#<alt (asin (+ (* 4 (* v v)) -1))>
#<alt (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))>
#<alt (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))>
#<alt (asin (+ (* v (* v 4)) -1))>

Outputs
#<alt (* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
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#<alt (* 1/4 (* (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
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#<alt (* 1/4 (* (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>

Calls

66 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	(/ (- (* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))) (* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2)))) (* (/ 2 (PI)) (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))))
5.0ms	v	@	0	(* (/ -1 (+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1)))) (+ (* (PI) (* (PI) -1/4)) (pow (asin (+ (* 4 (* v v)) -1)) 2)))
2.0ms	v	@	0	(/ (- (* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))) (* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2)))) (* (/ 2 (PI)) (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))))
2.0ms	v	@	inf	(* (- (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2))) (pow (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) -2))
2.0ms	v	@	0	(* (- (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2))) (pow (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) -2))

rewrite530.0ms (3.8%)

Memory

21.9MiB live, 942.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 908×	`accelerator-lowering-fma.f32`
5 908×	`accelerator-lowering-fma.f64`
4 292×	`-lowering-.f32`
4 292×	`-lowering-.f64`
3 618×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	497
1	417	424
2	3628	398
0	9032	351

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 145

Calls

Call 1

Inputs
(/ (- (* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))) (* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2)))) (* (/ 2 (PI)) (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1)))))
(* 1 (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1))))
(* (/ 2 (PI)) (- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2)))
(* (/ 2 (PI)) (+ (* (PI) 1/2) (acos (+ (* v (* v 4)) -1))))
(* (/ -1 (+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1)))) (+ (* (PI) (* (PI) -1/4)) (pow (asin (+ (* 4 (* v v)) -1)) 2)))
(/ -1 (+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1))))
(+ (* (PI) 1/2) (asin (+ (* 4 (* v v)) -1)))
(PI)
(/ (+ (* (* (PI) (PI)) 1/4) (neg (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2))) (acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))))
(+ (* (* (PI) (PI)) 1/4) (neg (pow (asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1))) 2)))
(* (PI) (PI))
(+ (* 1/4 (/ (* (PI) (PI)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))) (neg (/ (pow (asin (+ (* v (* v 4)) -1)) 2) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))))
(/ (* (PI) (PI)) (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))))
(* (- (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2))) (pow (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) -2))
(- (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (pow (asin (+ (* v (* v 4)) -1)) 2)))
(* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (* (* (PI) (PI)) 1/4))
(+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1)))
(- (* (* (PI) (PI)) 1/4) (pow (acos (+ (* v (* v 4)) -1)) 2))
(acos (+ (* v (* v 4)) -1))
(+ (* (PI) (* (PI) -1/4)) (pow (asin (+ (* 4 (* v v)) -1)) 2))
(asin (+ (* 4 (* v v)) -1))
(acos (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))
(asin (/ (+ (* 5 (* v v)) -1) (+ (* v v) -1)))
(asin (+ (* v (* v 4)) -1))

Outputs
(+.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (neg.f64 (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))) #s(literal -1 binary64)))
(-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (neg.f64 (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) (neg.f64 (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (PI.f64) (neg.f64 (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(neg.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (neg.f64 (fma.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))))) (fma.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (.f64 #s(literal 1 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
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(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(exp.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))))
(neg.f64 (asin.f64 (/.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(.f64 (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (neg.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))

simplify1.0s (7.1%)

Memory

-12.3MiB live, 784.9MiB allocated

Algorithm

1×	egg-herbie

Rules

24 208×	`accelerator-lowering-fma.f32`
24 208×	`accelerator-lowering-fma.f64`
4 446×	`-lowering-.f32`
4 446×	`-lowering-.f64`
3 188×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	5340
1	140	5184
2	424	5016
3	1315	4944
4	4232	4944
0	8197	4356

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
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(- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))

Outputs
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(* 1/2 (/ (* (PI) (- (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI))))) (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (- (* 1/4 (pow (PI) 2)) (pow (acos (- (* 4 (pow v 2)) 1)) 2)) (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (/.f64 (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)))
(* 2 (/ (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (PI)))
(/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) (PI.f64)) (PI.f64))
(* 2 (/ (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (PI)))
(/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) (PI.f64)) (PI.f64))
(* 2 (/ (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (PI)))
(/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) (PI.f64)) (PI.f64))
(* 2 (/ (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (PI)))
(/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) (PI.f64)) (PI.f64))
(* 2 (/ (+ (acos (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (PI)))
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(acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))

eval1.1s (8.1%)

Memory: -82.5MiB live, 674.2MiB allocated
Compiler: Compiled 154 879 to 7 794 computations (95% saved)

prune476.0ms (3.4%)

Memory

-10.1MiB live, 958.2MiB allocated

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	2 890	21	2 911
Fresh	4	3	7
Picked	3	2	5
Done	0	5	5
Total	2 897	31	2 928

Accuracy

99.0%

Counts

2 928 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.1%	(fma.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
✓	2.1%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
	96.9%	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
	3.1%	(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	2.5%	(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	3.1%	(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	2.8%	(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	5.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	2.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	94.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	96.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	96.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	2.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))))
	2.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
	2.8%	(/.f64 (.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/64 binary64)) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (PI.f64) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
	2.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))))
	2.5%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)) (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))))))
	2.2%	(.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -2 binary64)))
	98.4%	(.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (PI.f64))
	2.8%	(.f64 (/.f64 (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
	2.5%	(.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
	5.2%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))))) (fma.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))
	2.8%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))))
	2.8%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))))
	98.4%	(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
	98.4%	(exp.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓	98.7%	(acos.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	98.4%	(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	98.8%	(acos.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #s(literal -1 binary64)))
✓	98.8%	(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	97.5%	(acos.f64 #s(literal -1 binary64))

Compiler

Compiled 3 293 to 838 computations (74.6% saved)

regimes44.0ms (0.3%)

Memory

24.3MiB live, 102.8MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(exp.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))))) (fma.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (fma.f64 #s(literal 4 binary64) (.f64 v v) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (PI.f64))
(fma.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(.f64 (/.f64 (neg.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -2 binary64)))
(.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/64 binary64)) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (PI.f64) (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (fma.f64 v (.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) (.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)) (.f64 (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))))))

Outputs
(acos.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #s(literal -1 binary64)))

Calls

4 calls:

12.0ms	v
10.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
10.0ms	(*.f64 v v)
9.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.8%	1	`v`
98.8%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.8%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes13.0ms (0.1%)

Memory

-22.5MiB live, 22.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Calls

4 calls:

8.0ms	v
2.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms	(*.f64 v v)
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.8%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.8%	1	`v`
98.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.8%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes6.0ms (0%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(acos.f64 #s(literal -1 binary64))

(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))

(acos.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))

Outputs
(acos.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))

Calls

4 calls:

2.0ms	v
1.0ms	(*.f64 v v)
1.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.7%	1	`v`
98.7%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.7%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes6.0ms (0%)

Memory

-21.2MiB live, 17.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))

Outputs
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))

Calls

4 calls:

2.0ms	v
1.0ms	(*.f64 v v)
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
1.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.4%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.4%	1	`v`
98.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.4%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes4.0ms (0%)

Memory

21.5MiB live, 21.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(acos.f64 #s(literal -1 binary64))

Outputs
(acos.f64 #s(literal -1 binary64))

Calls

4 calls:

1.0ms	v
1.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms	(*.f64 v v)
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.5%	1	`v`
97.5%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
97.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
97.5%	1	`(*.f64 v v)`

Compiler

Compiled 35 to 20 computations (42.9% saved)

simplify8.0ms (0.1%)

Memory

-15.9MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	50
1	31	50

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(acos.f64 (fma.f64 v (.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v v) v) v)) #s(literal -1 binary64)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos.f64 #s(literal -1 binary64))

soundness441.0ms (3.1%)

Memory

17.2MiB live, 359.4MiB allocated

Rules

7 768×	`accelerator-lowering-fma.f32`
7 768×	`accelerator-lowering-fma.f64`
4 946×	`accelerator-lowering-fma.f32`
4 946×	`accelerator-lowering-fma.f64`
4 582×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	516
1	100	510
2	269	506
3	659	506
4	2016	504
5	5113	504
0	8075	457
0	9	47
1	64	47
2	524	47
3	6816	47
0	8164	41

Stop Event

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

Compiler

Compiled 89 to 51 computations (42.7% saved)

preprocess57.0ms (0.4%)

Memory: 8.1MiB live, 165.4MiB allocated
Remove: (abs v)
Compiler: Compiled 168 to 84 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze334.0ms (2.4%)

sample3.5s (25.3%)

preprocess356.0ms (2.5%)

explain264.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify267.0ms (1.9%)

localize84.0ms (0.6%)

series7.0ms (0%)

rewrite335.0ms (2.4%)

simplify235.0ms (1.7%)

eval104.0ms (0.7%)

prune79.0ms (0.6%)

simplify418.0ms (3%)

localize326.0ms (2.3%)

series15.0ms (0.1%)

rewrite387.0ms (2.8%)

simplify411.0ms (2.9%)

eval317.0ms (2.3%)

prune114.0ms (0.8%)

simplify290.0ms (2.1%)

localize303.0ms (2.2%)

series17.0ms (0.1%)

rewrite472.0ms (3.4%)

simplify320.0ms (2.3%)

eval208.0ms (1.5%)

prune137.0ms (1%)

simplify283.0ms (2%)

localize646.0ms (4.6%)

series30.0ms (0.2%)

rewrite530.0ms (3.8%)

simplify1.0s (7.1%)

eval1.1s (8.1%)

prune476.0ms (3.4%)

regimes44.0ms (0.3%)

regimes13.0ms (0.1%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

simplify8.0ms (0.1%)

soundness441.0ms (3.1%)

preprocess57.0ms (0.4%)

end0.0ms (0%)

Profiling