Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.8s (32.2%)

Memory

59.2MiB live, 2 201.5MiB allocated; 487ms collecting garbage

Samples

845.0ms	2 905×	2	valid
324.0ms	4 154×	0	valid
208.0ms	1 197×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-hypot: 357.0ms (30.6% of total)

adjust: 249.0ms (21.3% of total)

ival-div: 173.0ms (14.8% of total)

ival-sqrt: 119.0ms (10.2% of total)

ival-mult: 105.0ms (9% of total)

ival-add: 76.0ms (6.5% of total)

ival-sub: 71.0ms (6.1% of total)

exact: 8.0ms (0.7% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain182.0ms (3.3%)

Memory

8.6MiB live, 308.9MiB allocated; 53ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
75	-	-	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(hypot.f64 #s(literal 1 binary64) x)`
0	-	-	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
0	-	-	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`	cancellation	75	0

Confusion

	Predicted +	Predicted -
+	75	0
-	0	181

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	75	0	0
-	0	0	181

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	181
1	75

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	166×	2	valid
23.0ms	254×	0	valid
16.0ms	92×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-hypot: 21.0ms (32.3% of total)

adjust: 11.0ms (16.9% of total)

ival-sqrt: 11.0ms (16.9% of total)

ival-div: 7.0ms (10.8% of total)

ival-mult: 6.0ms (9.2% of total)

ival-sub: 4.0ms (6.1% of total)

ival-add: 4.0ms (6.1% of total)

ival-true: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

preprocess206.0ms (3.7%)

Memory

-6.1MiB live, 184.3MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	44	27
2	117	27
3	282	27
4	1236	26
5	6428	26
0	9	12
0	18	12
1	35	10
2	81	10
3	187	10
4	607	10
5	2718	10
0	8125	10

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Outputs

(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))

Symmetry

(abs x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 12 to 9 computations (25% saved)

series6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

9 → 65

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x

Outputs
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
2.0ms	x	@	inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
1.0ms	x	@	-inf	((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

Time

Variable

Point

Expression

2.0ms

((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

2.0ms

inf

((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

1.0ms

-inf

((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

simplify135.0ms (2.5%)

Memory

0.4MiB live, 189.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	980
1	721	899
2	2527	858
0	8212	804

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

Inputs
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Outputs
(- 1 (* (sqrt 1/2) (sqrt 2)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64)))
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
x
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/16 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ 1 (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (sqrt.f64 #s(literal 1/2 binary64)))
(- 1/2 (* 1/2 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))

rewrite52.0ms (0.9%)

Memory

2.3MiB live, 93.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	18	39
1	82	39
0	642	36

Stop Event

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

Counts

9 → 91

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x

Outputs
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(*.f64 (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (atan.f64 x))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x))))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 (neg.f64 x)))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))
x

eval23.0ms (0.4%)

Memory: 8.0MiB live, 50.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 429 to 797 computations (76.8% saved)

prune37.0ms (0.7%)

Memory

1.9MiB live, 40.5MiB allocated; 27ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	143	15	158
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	144	15	159

Accuracy

75.0%

Counts

159 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.7%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	74.7%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	74.6%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
▶	73.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	50.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x x)))))))
▶	72.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	25.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
	25.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	25.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	25.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
	48.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
▶	48.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
	25.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
▶	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	4.8%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))

Compiler

Compiled 748 to 492 computations (34.2% saved)

series28.0ms (0.5%)

Memory

-4.4MiB live, 37.7MiB allocated; 17ms collecting garbage

Counts

34 → 79

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))

Outputs
(/ (- 1/2 (* 1/2 (cos (atan x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))
(- 1/2 (* 1/2 (cos (atan x))))
(+ 1/2 (* 1/2 (cos (atan x))))
(cos (atan x))
(atan x)
x
(+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))
(sqrt (+ 1/2 (* 1/2 (cos (atan x)))))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(+ 1 (pow x 2))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))
3.0ms	x	@	0	((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))
3.0ms	x	@	-inf	((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))

Time

Variable

Point

Expression

20.0ms

inf

((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))

3.0ms

((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))

3.0ms

-inf

((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1)))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* x x) 1))))) (+ 1 (/ 1 (sqrt (+ (* x x) 1)))) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1))

simplify223.0ms (4%)

Memory

21.6MiB live, 264.5MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1072
1	773	991
2	2647	931
0	8318	873

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 78

Calls

Call 1

Inputs
(/ (- 1/2 (* 1/2 (cos (atan x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))
(- 1/2 (* 1/2 (cos (atan x))))
(+ 1/2 (* 1/2 (cos (atan x))))
(cos (atan x))
(atan x)
x
(+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))
(sqrt (+ 1/2 (* 1/2 (cos (atan x)))))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(+ 1 (pow x 2))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Outputs
(/ (- 1/2 (* 1/2 (cos (atan x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x)))))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(- 1/2 (* 1/2 (cos (atan x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (atan x))))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos (atan x))
(cos.f64 (atan.f64 x))
(atan x)
(atan.f64 x)
x
(+ 1 (sqrt (+ 1/2 (* 1/2 (cos (atan x))))))
(+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt (+ 1/2 (* 1/2 (cos (atan x)))))
(sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64)))
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/16 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(* 1/2 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x))
(- 1/2 (* 1/2 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x))
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x)))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)))

rewrite99.0ms (1.8%)

Memory

-9.0MiB live, 136.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	346
0	70	276
1	311	251
0	2220	251

Stop Event

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

Counts

34 → 455

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))))) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(.f64 (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(*.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 (asinh.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 (asinh.f64 x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 (asinh.f64 x)))))
(fma.f64 (sin.f64 (atan.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (atan.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (atan.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (atan.f64 x)))
(cos.f64 (neg.f64 (neg.f64 (atan.f64 x))))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (cosh.f64 (asinh.f64 x))) #s(literal -1 binary64)))
(+.f64 (.f64 (sin.f64 (atan.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (atan.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))

eval72.0ms (1.3%)

Memory: 8.2MiB live, 151.1MiB allocated; 17ms collecting garbage
Compiler: Compiled 14 994 to 2 362 computations (84.2% saved)

prune31.0ms (0.6%)

Memory

-15.9MiB live, 76.7MiB allocated; 7ms collecting garbage

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	511	16	527
Fresh	3	7	10
Picked	2	3	5
Done	0	0	0
Total	516	26	542

Accuracy

75.1%

Counts

542 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.7%	(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))))) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	74.7%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	74.7%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	50.0%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
▶	74.7%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))))) #s(literal 1 binary64)))
	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64)))
▶	74.7%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	74.7%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	73.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	72.9%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
	72.9%	(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	74.0%	(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
▶	49.7%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
▶	72.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
✓	73.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	50.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))))
	25.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
	25.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	25.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	25.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
✓	48.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
▶	25.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
✓	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	4.8%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))

Compiler

Compiled 1 538 to 855 computations (44.4% saved)

series48.0ms (0.9%)

Memory

-12.6MiB live, 83.1MiB allocated; 13ms collecting garbage

Counts

40 → 165

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Outputs
(* 1/2 (- 1/2 (* 1/2 (cos (atan x)))))
(+ (* 1/32 (* (pow x 2) (- 1/2 (* 1/2 (cos (atan x)))))) (* 1/2 (- 1/2 (* 1/2 (cos (atan x))))))
(+ (* 1/2 (- 1/2 (* 1/2 (cos (atan x))))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/512 (- 1/2 (* 1/2 (cos (atan x))))) (* 11/512 (- 1/2 (* 1/2 (cos (atan x)))))))) (* -1/32 (- 1/2 (* 1/2 (cos (atan x))))))))
(+ (* 1/2 (- 1/2 (* 1/2 (cos (atan x))))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -69/4096 (- 1/2 (* 1/2 (cos (atan x))))) (+ (* 11/8192 (- 1/2 (* 1/2 (cos (atan x))))) (* 1/16 (+ (* -1/512 (- 1/2 (* 1/2 (cos (atan x))))) (* 11/512 (- 1/2 (* 1/2 (cos (atan x))))))))))) (+ (* -1/512 (- 1/2 (* 1/2 (cos (atan x))))) (* 11/512 (- 1/2 (* 1/2 (cos (atan x)))))))) (* -1/32 (- 1/2 (* 1/2 (cos (atan x))))))))
(- 1/2 (* 1/2 (cos (atan x))))
(+ 1/2 (* 1/2 (cos (atan x))))
(cos (atan x))
(atan x)
x
2
(+ 2 (* -1/8 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (pow x 2))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
(* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
(* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))))) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (pow (sqrt 1/2) 2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/2 (- (* 35/128 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/2 (/ (* (sqrt 1/2) (* (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/2 (/ (* (sqrt 1/2) (* (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 35/128 (+ (* 1/4 (/ (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/4 (/ (pow (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) 2) (pow (sqrt 2) 2)))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (* 1/2 (/ (* (sqrt 1/2) (- 35/128 (+ (* 1/4 (/ (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/4 (/ (pow (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) 2) (pow (sqrt 2) 2)))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))) (+ (* -1/2 (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))))) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
(/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))) (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* -3/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/8 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* -3/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/16 (/ (pow (sqrt 1/2) 2) (* x (pow (+ 1 (sqrt 1/2)) 3))))))) (+ (* -1/2 (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))) (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) x)) (+ (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* 1/2 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (* x (pow (+ 1 (sqrt 1/2)) 3)))) (* -1/8 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))) (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (+ 1 (sqrt 1/2))))) (+ (* -3/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/16 (/ (pow (sqrt 1/2) 2) (* x (pow (+ 1 (sqrt 1/2)) 3)))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))) (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 1 (sqrt 1/2))))
(+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))))
(+ (* -1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (+ (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2))))) x))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (* 1/2 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* -3/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/8 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x))) x)) (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))

Calls

3 calls:

Time	Variable		Point	Expression
19.0ms	x	@	0	((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1) (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) (pow (+ (* x x) 1) -1/2) (+ (* x x) 1) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1)) (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2) 3/2 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1) (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) (+ (cos (atan x)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)))
12.0ms	x	@	-inf	((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1) (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) (pow (+ (* x x) 1) -1/2) (+ (* x x) 1) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1)) (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2) 3/2 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1) (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) (+ (cos (atan x)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)))
11.0ms	x	@	inf	((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1) (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) (pow (+ (* x x) 1) -1/2) (+ (* x x) 1) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1)) (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2) 3/2 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1) (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) (+ (cos (atan x)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)))

Time

Variable

Point

Expression

19.0ms

((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1) (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) (pow (+ (* x x) 1) -1/2) (+ (* x x) 1) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1)) (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2) 3/2 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1) (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) (+ (cos (atan x)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)))

12.0ms

-inf

((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1) (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) (pow (+ (* x x) 1) -1/2) (+ (* x x) 1) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1)) (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2) 3/2 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1) (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) (+ (cos (atan x)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)))

11.0ms

inf

((/ (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) 1 (+ (* (cos (atan x)) 1/2) 1/2) (cos (atan x)) (atan x) x 1/2 (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1) (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) (pow (+ (* x x) 1) -1/2) (+ (* x x) 1) -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2)) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1)) (- 1 (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2)) (pow (+ (* (cos (atan x)) 1/2) 1/2) 3/2) 3/2 (+ (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) 1) (+ (* (+ (cos (atan x)) 1) 1/2) (sqrt (+ (* (cos (atan x)) 1/2) 1/2))) (+ (cos (atan x)) 1) (sqrt (+ (* (cos (atan x)) 1/2) 1/2)))

simplify260.0ms (4.7%)

Memory

9.0MiB live, 272.0MiB allocated; 138ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	766	7485
1	2669	6567
0	8452	6164

Stop Event

1×	iter limit
1×	node limit

Counts

165 → 164

Calls

Call 1

Inputs
(* 1/2 (- 1/2 (* 1/2 (cos (atan x)))))
(+ (* 1/32 (* (pow x 2) (- 1/2 (* 1/2 (cos (atan x)))))) (* 1/2 (- 1/2 (* 1/2 (cos (atan x))))))
(+ (* 1/2 (- 1/2 (* 1/2 (cos (atan x))))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/512 (- 1/2 (* 1/2 (cos (atan x))))) (* 11/512 (- 1/2 (* 1/2 (cos (atan x)))))))) (* -1/32 (- 1/2 (* 1/2 (cos (atan x))))))))
(+ (* 1/2 (- 1/2 (* 1/2 (cos (atan x))))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -69/4096 (- 1/2 (* 1/2 (cos (atan x))))) (+ (* 11/8192 (- 1/2 (* 1/2 (cos (atan x))))) (* 1/16 (+ (* -1/512 (- 1/2 (* 1/2 (cos (atan x))))) (* 11/512 (- 1/2 (* 1/2 (cos (atan x))))))))))) (+ (* -1/512 (- 1/2 (* 1/2 (cos (atan x))))) (* 11/512 (- 1/2 (* 1/2 (cos (atan x)))))))) (* -1/32 (- 1/2 (* 1/2 (cos (atan x))))))))
(- 1/2 (* 1/2 (cos (atan x))))
(+ 1/2 (* 1/2 (cos (atan x))))
(cos (atan x))
(atan x)
x
2
(+ 2 (* -1/8 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (pow x 2))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
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(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
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(/ -1 x)
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(/ -1/2 x)
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Outputs
(* 1/2 (- 1/2 (* 1/2 (cos (atan x)))))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64))
(+ (* 1/32 (* (pow x 2) (- 1/2 (* 1/2 (cos (atan x)))))) (* 1/2 (- 1/2 (* 1/2 (cos (atan x))))))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (fma.f64 #s(literal 1/32 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- 1/2 (* 1/2 (cos (atan x))))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/512 (- 1/2 (* 1/2 (cos (atan x))))) (* 11/512 (- 1/2 (* 1/2 (cos (atan x)))))))) (* -1/32 (- 1/2 (* 1/2 (cos (atan x))))))))
(fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 5/256 binary64)) (.f64 #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))) (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- 1/2 (* 1/2 (cos (atan x))))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -69/4096 (- 1/2 (* 1/2 (cos (atan x))))) (+ (* 11/8192 (- 1/2 (* 1/2 (cos (atan x))))) (* 1/16 (+ (* -1/512 (- 1/2 (* 1/2 (cos (atan x))))) (* 11/512 (- 1/2 (* 1/2 (cos (atan x))))))))))) (+ (* -1/512 (- 1/2 (* 1/2 (cos (atan x))))) (* 11/512 (- 1/2 (* 1/2 (cos (atan x)))))))) (* -1/32 (- 1/2 (* 1/2 (cos (atan x))))))))
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(- 1/2 (* 1/2 (cos (atan x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(+ 1/2 (* 1/2 (cos (atan x))))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos (atan x))
(cos.f64 (atan.f64 x))
(atan x)
(atan.f64 x)
x
2
#s(literal 2 binary64)
(+ 2 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
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(+ (* -1 (/ (- (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (* x (pow (+ 1 (sqrt 1/2)) 3)))) (* -1/8 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 1 (sqrt 1/2))))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))) (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (+ 1 (sqrt 1/2))))) (+ (* -3/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/16 (/ (pow (sqrt 1/2) 2) (* x (pow (+ 1 (sqrt 1/2)) 3)))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))) (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 1 (sqrt 1/2))))
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(+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))))
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (neg.f64 x))) x))
(+ (* -1/2 (/ (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+ (* -1 (/ (+ (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2))))) x))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (* 1/2 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* -3/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/8 (/ (* (sqrt 1/2) (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x))) x)) (* 1/2 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
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rewrite148.0ms (2.7%)

Memory

-20.1MiB live, 209.3MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	504
0	83	402
1	379	342
0	3223	342

Stop Event

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

Counts

40 → 629

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) (pow.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))) (+.f64 (pow.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))) (.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 (atan.f64 x))))
(fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) (-.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) (-.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 (atan.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (cos.f64 (atan.f64 x)))))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/4 binary64))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))

eval147.0ms (2.7%)

Memory: -3.5MiB live, 279.2MiB allocated; 55ms collecting garbage
Compiler: Compiled 47 562 to 3 973 computations (91.6% saved)

prune23.0ms (0.4%)

Memory

19.1MiB live, 65.6MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	971	7	978
Fresh	17	1	18
Picked	4	1	5
Done	0	3	3
Total	992	12	1 004

Accuracy

100.0%

Counts

1 004 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
▶	74.6%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	49.7%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
✓	73.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	50.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))))
✓	48.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
✓	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	49.9%	#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	51.2%	#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
	52.6%	#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
	51.0%	#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
▶	52.0%	#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Compiler

Compiled 810 to 358 computations (55.8% saved)

series46.0ms (0.8%)

Memory

19.2MiB live, 63.7MiB allocated; 7ms collecting garbage

Counts

40 → 192

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x)) #s(literal 11/128 binary64))
(.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64))
#s(literal -1843/32768 binary64)
#s(literal 69/1024 binary64)
#s(literal 11/128 binary64)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
#s(literal -1 binary64)
(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))
(neg.f64 (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))

Outputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (pow x 2))
x
2
(+ 2 (* -1/8 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(pow x 2)
(* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
(* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
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1/8
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69/1024
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(/ 1/2 x)
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1/2
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(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
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(sqrt 1/2)
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(* -1843/32768 (pow x 8))
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(* -1843/32768 (pow x 6))
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(* -1843/32768 (pow x 4))
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(* -1843/32768 (pow x 2))
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(* -1 (/ (- (* -1 (+ 1 (sqrt 1/2))) (* -1/2 (+ 1 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2)))
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(- (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x)) (+ 1 (sqrt 1/2)))
(+ (* -1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (* (sqrt 1/2) (+ 1 (sqrt 1/2))) x))
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (* (sqrt 1/2) (+ 1 (sqrt 1/2))) x)) (* 1/4 (/ (pow (sqrt 1/2) 2) x)))) x)) (* -1 (pow (+ 1 (sqrt 1/2)) 2)))
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (* 1/4 (pow (sqrt 1/2) 2)))) (+ (* -3/8 (/ (* (sqrt 1/2) (+ 1 (sqrt 1/2))) x)) (* -1/8 (/ (pow (sqrt 1/2) 2) x)))) x))) x)) (* -1 (pow (+ 1 (sqrt 1/2)) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

15.0ms

inf

((/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) (pow (+ (* x x) 1) -1/2) (+ (* x x) 1) x -1/2 1/2 (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1) (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (* 1/8 (* x x)) 1/8 (* x x) (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (sqrt 1/2) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (* (+ (* (- (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) 11/128) (* x x)) 1/8) (* x x)) (+ (* (- (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) 11/128) (* x x)) 1/8) (- (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) 11/128) (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) (+ (* -1843/32768 (* x x)) 69/1024) -1843/32768 69/1024 11/128 (/ (- (* -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (- (* -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)))

12.0ms

((/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) (pow (+ (* x x) 1) -1/2) (+ (* x x) 1) x -1/2 1/2 (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1) (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (* 1/8 (* x x)) 1/8 (* x x) (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (sqrt 1/2) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (* (+ (* (- (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) 11/128) (* x x)) 1/8) (* x x)) (+ (* (- (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) 11/128) (* x x)) 1/8) (- (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) 11/128) (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) (+ (* -1843/32768 (* x x)) 69/1024) -1843/32768 69/1024 11/128 (/ (- (* -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (- (* -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)))

11.0ms

-inf

((/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2) (pow (+ (* x x) 1) -1/2) (+ (* x x) 1) x -1/2 1/2 (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1) (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (* 1/8 (* x x)) 1/8 (* x x) (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (sqrt 1/2) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (* (+ (* (- (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) 11/128) (* x x)) 1/8) (* x x)) (+ (* (- (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) 11/128) (* x x)) 1/8) (- (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) 11/128) (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) (+ (* -1843/32768 (* x x)) 69/1024) -1843/32768 69/1024 11/128 (/ (- (* -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (- (* -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) -1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- (/ 1/2 x) -1/2) (/ 1/2 x) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (neg (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)))

simplify244.0ms (4.4%)

Memory

-20.1MiB live, 313.3MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1040	10816
1	3792	9197
0	9138	8509

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (pow x 2))
x
2
(+ 2 (* -1/8 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(pow x 2)
(* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
(* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
(* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))))) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (pow (sqrt 1/2) 2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/2 (- (* 35/128 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/2 (/ (* (sqrt 1/2) (* (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/2 (/ (* (sqrt 1/2) (* (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 35/128 (+ (* 1/4 (/ (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/4 (/ (pow (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) 2) (pow (sqrt 2) 2)))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (* 1/2 (/ (* (sqrt 1/2) (- 35/128 (+ (* 1/4 (/ (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/4 (/ (pow (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) 2) (pow (sqrt 2) 2)))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))) (+ (* -1/2 (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))))) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
1/8
(+ 1/8 (* -11/128 (pow x 2)))
(+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))
(+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))
-11/128
(- (* 69/1024 (pow x 2)) 11/128)
(- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)
(* 69/1024 (pow x 2))
(* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2))))
69/1024
(+ 69/1024 (* -1843/32768 (pow x 2)))
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(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
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(+ (* -1 (/ (+ (* -1 (- (* -1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/2 (/ (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))) (/ (* (sqrt 1/2) (- (* -1 (+ 1 (sqrt 1/2))) (* -1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 3))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/2 (/ (+ (* -1/8 (sqrt 1/2)) (* 1/2 (sqrt 1/2))) (pow (+ 1 (sqrt 1/2)) 2))) (+ (/ (* (sqrt 1/2) (- (* -1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/2 (/ (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))) (/ (* (sqrt 1/2) (- (* -1 (+ 1 (sqrt 1/2))) (* -1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 3))))) (+ 1 (sqrt 1/2))) (/ (* (+ (* -1/4 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (* 1/4 (pow (sqrt 1/2) 2))) (- (* -1 (+ 1 (sqrt 1/2))) (* -1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 4)))))) (* 3/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/2 (/ (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* -3/16 (sqrt 1/2)) (* -1/8 (sqrt 1/2)))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ (* (sqrt 1/2) (- (* 1/8 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/2 (/ (+ (* -1/8 (sqrt 1/2)) (* 1/2 (sqrt 1/2))) (pow (+ 1 (sqrt 1/2)) 2))) (+ (/ (* (sqrt 1/2) (- (* -1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/2 (/ (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))) (/ (* (sqrt 1/2) (- (* -1 (+ 1 (sqrt 1/2))) (* -1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 3))))) (+ 1 (sqrt 1/2))) (/ (* (+ (* -1/4 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (* 1/4 (pow (sqrt 1/2) 2))) (- (* -1 (+ 1 (sqrt 1/2))) (* -1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 4)))))) (* x (+ 1 (sqrt 1/2)))) (+ (/ (* (+ (* -3/8 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (* -1/8 (pow (sqrt 1/2) 2))) (- (* -1 (+ 1 (sqrt 1/2))) (* -1/2 (+ 1 (sqrt 1/2))))) (* x (pow (+ 1 (sqrt 1/2)) 4))) (/ (* (+ (* -1/4 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (* 1/4 (pow (sqrt 1/2) 2))) (- (* -1/2 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* -1/2 (/ (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))) (/ (* (sqrt 1/2) (- (* -1 (+ 1 (sqrt 1/2))) (* -1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 3))))) (* x (pow (+ 1 (sqrt 1/2)) 2))))))) x))) x)) (* -1 (/ (- (* -1 (+ 1 (sqrt 1/2))) (* -1/2 (+ 1 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))))
(- (+ (* -1 (+ 1 (sqrt 1/2))) (* -1 (/ (- (* -1/2 (sqrt 1/2)) (* -1/2 (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))))) x))) (* -1/2 (+ 1 (sqrt 1/2))))
(- (+ (* -1 (+ 1 (sqrt 1/2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (sqrt 1/2)) (* -1/2 (+ (* -1/8 (sqrt 1/2)) (* 1/2 (sqrt 1/2))))) x)) (* -1/2 (sqrt 1/2))) (* -1/2 (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))))) x))) (* -1/2 (+ 1 (sqrt 1/2))))
(- (+ (* -1 (+ 1 (sqrt 1/2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/16 (sqrt 1/2)) (* -1/2 (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* -3/16 (sqrt 1/2)) (* -1/8 (sqrt 1/2)))))) x)) (* 1/8 (sqrt 1/2))) (* -1/2 (+ (* -1/8 (sqrt 1/2)) (* 1/2 (sqrt 1/2))))) x)) (* -1/2 (sqrt 1/2))) (* -1/2 (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))))) x))) (* -1/2 (+ 1 (sqrt 1/2))))
(+ (* -1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) x)))
(+ (* -1 (+ 1 (sqrt 1/2))) (* -1 (/ (+ (* -1/2 (sqrt 1/2)) (* -1/8 (/ (sqrt 1/2) x))) x)))
(+ (* -1 (+ 1 (sqrt 1/2))) (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (/ (sqrt 1/2) x)) (* 1/8 (sqrt 1/2))) x)) (* -1/2 (sqrt 1/2))) x)))
(+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (* -1/2 (+ 1 (sqrt 1/2))) (* 1/2 (/ (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))) x)))
(+ (* -1 (/ (+ (* -1/2 (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2))))) (* 1/2 (/ (+ (* -1/8 (sqrt 1/2)) (* 1/2 (sqrt 1/2))) x))) x)) (* -1/2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/8 (sqrt 1/2)) (* 1/2 (sqrt 1/2)))) (* 1/2 (/ (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* -3/16 (sqrt 1/2)) (* -1/8 (sqrt 1/2)))) x))) x)) (* -1/2 (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))))) x)) (* -1/2 (+ 1 (sqrt 1/2))))
(- (* 1/2 (/ (sqrt 1/2) x)) (+ 1 (sqrt 1/2)))
(- (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)) (+ 1 (sqrt 1/2)))
(- (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x)) (+ 1 (sqrt 1/2)))
(+ (* -1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (* (sqrt 1/2) (+ 1 (sqrt 1/2))) x))
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (* (sqrt 1/2) (+ 1 (sqrt 1/2))) x)) (* 1/4 (/ (pow (sqrt 1/2) 2) x)))) x)) (* -1 (pow (+ 1 (sqrt 1/2)) 2)))
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (* 1/4 (pow (sqrt 1/2) 2)))) (+ (* -3/8 (/ (* (sqrt 1/2) (+ 1 (sqrt 1/2))) x)) (* -1/8 (/ (pow (sqrt 1/2) 2) x)))) x))) x)) (* -1 (pow (+ 1 (sqrt 1/2)) 2)))

Outputs
(* 1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(.f64 (fma.f64 (fma.f64 #s(literal 5/32 binary64) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
x
2
#s(literal 2 binary64)
(+ 2 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
(.f64 (.f64 (neg.f64 x) x) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))
(.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) (*.f64 x x))
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(* (pow x 2) (- (+ (* 1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (- (+ (* -1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* (pow x 2) (- (* 1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* -1/2 (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (+ (* -5/16 (+ 1 (* (sqrt 1/2) (sqrt 2)))) (+ (* -1/4 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* -3/32 (/ (sqrt 1/2) (sqrt 2)))))))))) (* -1/2 (+ (* 1/8 (/ (sqrt 1/2) (sqrt 2))) (+ (* 3/8 (+ 1 (* (sqrt 1/2) (sqrt 2)))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))) (* -1/2 (+ (* -1/2 (+ 1 (* (sqrt 1/2) (sqrt 2)))) (* -1/2 (/ (sqrt 1/2) (sqrt 2)))))))
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(+ 1 (* (sqrt 1/2) (sqrt 2)))
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(+ 1 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))
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(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))) x) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal -1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 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1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(- (+ (* -1 (+ 1 (sqrt 1/2))) (* -1 (/ (- (* -1/2 (sqrt 1/2)) (* -1/2 (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))))) x))) (* -1/2 (+ 1 (sqrt 1/2))))
(fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(- (+ (* -1 (+ 1 (sqrt 1/2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (sqrt 1/2)) (* -1/2 (+ (* -1/8 (sqrt 1/2)) (* 1/2 (sqrt 1/2))))) x)) (* -1/2 (sqrt 1/2))) (* -1/2 (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))))) x))) (* -1/2 (+ 1 (sqrt 1/2))))
(fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/8 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(- (+ (* -1 (+ 1 (sqrt 1/2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/16 (sqrt 1/2)) (* -1/2 (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* -3/16 (sqrt 1/2)) (* -1/8 (sqrt 1/2)))))) x)) (* 1/8 (sqrt 1/2))) (* -1/2 (+ (* -1/8 (sqrt 1/2)) (* 1/2 (sqrt 1/2))))) x)) (* -1/2 (sqrt 1/2))) (* -1/2 (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))))) x))) (* -1/2 (+ 1 (sqrt 1/2))))
(fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/16 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -5/16 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (neg.f64 x))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* -1 (+ 1 (sqrt 1/2))) (* 1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(+ (* -1 (+ 1 (sqrt 1/2))) (* -1 (/ (+ (* -1/2 (sqrt 1/2)) (* -1/8 (/ (sqrt 1/2) x))) x)))
(neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+ (* -1 (+ 1 (sqrt 1/2))) (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (/ (sqrt 1/2) x)) (* 1/8 (sqrt 1/2))) x)) (* -1/2 (sqrt 1/2))) x)))
(neg.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/8 binary64))) (neg.f64 x))) x) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))
(+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))))
(+.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/2 (+ 1 (sqrt 1/2))) (* 1/2 (/ (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))) x)))
(fma.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(+ (* -1 (/ (+ (* -1/2 (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2))))) (* 1/2 (/ (+ (* -1/8 (sqrt 1/2)) (* 1/2 (sqrt 1/2))) x))) x)) (* -1/2 (+ 1 (sqrt 1/2))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/8 (sqrt 1/2)) (* 1/2 (sqrt 1/2)))) (* 1/2 (/ (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* -3/16 (sqrt 1/2)) (* -1/8 (sqrt 1/2)))) x))) x)) (* -1/2 (+ 1 (+ (sqrt 1/2) (* 1/2 (sqrt 1/2)))))) x)) (* -1/2 (+ 1 (sqrt 1/2))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -5/16 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) x) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(- (* 1/2 (/ (sqrt 1/2) x)) (+ 1 (sqrt 1/2)))
(-.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(- (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)) (+ 1 (sqrt 1/2)))
(-.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x)) (+ 1 (sqrt 1/2)))
(-.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/8 binary64))) (neg.f64 x))) (neg.f64 x)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ (* -1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (* (sqrt 1/2) (+ 1 (sqrt 1/2))) x))
(fma.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) x))
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (+ (* -1/4 (/ (* (sqrt 1/2) (+ 1 (sqrt 1/2))) x)) (* 1/4 (/ (pow (sqrt 1/2) 2) x)))) x)) (* -1 (pow (+ 1 (sqrt 1/2)) 2)))
(neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1/8 binary64)) x)) x)))
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (* (sqrt 1/2) (+ 1 (sqrt 1/2)))) (* 1/4 (pow (sqrt 1/2) 2)))) (+ (* -3/8 (/ (* (sqrt 1/2) (+ 1 (sqrt 1/2))) x)) (* -1/8 (/ (pow (sqrt 1/2) 2) x)))) x))) x)) (* -1 (pow (+ 1 (sqrt 1/2)) 2)))
(neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1/8 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal -1/16 binary64)) x)) x) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)))) x)))

rewrite175.0ms (3.2%)

Memory

50.0MiB live, 320.0MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	649
0	86	531
1	416	404
0	3764	404

Stop Event

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

Counts

40 → 547

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x)) #s(literal 11/128 binary64))
(.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64))
#s(literal -1843/32768 binary64)
#s(literal 69/1024 binary64)
#s(literal 11/128 binary64)
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
#s(literal -1 binary64)
(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))
(neg.f64 (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (-.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
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(fma.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))))
(-.f64 (.f64 (fma.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (fma.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1 binary64)))
(+.f64 (fma.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))))

eval201.0ms (3.7%)

Memory: -16.3MiB live, 413.5MiB allocated; 78ms collecting garbage
Compiler: Compiled 100 120 to 4 732 computations (95.3% saved)

prune43.0ms (0.8%)

Memory

0.9MiB live, 139.8MiB allocated; 10ms collecting garbage

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 209	5	1 214
Fresh	2	1	3
Picked	3	2	5
Done	0	4	4
Total	1 214	12	1 226

Accuracy

100.0%

Counts

1 226 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.7%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(approx (pow (+ (* x x) 1) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	49.5%	(/.f64 (.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
✓	49.7%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
✓	73.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	50.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))))
✓	48.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
✓	49.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	52.6%	#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
	51.0%	#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
✓	49.9%	#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	51.2%	#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	52.0%	#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Compiler

Compiled 1 984 to 496 computations (75% saved)

regimes76.0ms (1.4%)

Memory

-4.3MiB live, 136.4MiB allocated; 20ms collecting garbage

Counts

44 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(approx (pow (+ (* x x) 1) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (+ (* (cos (atan x)) 1/2) 1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))))) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x))))) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Calls

7 calls:

15.0ms	x
12.0ms	(hypot.f64 #s(literal 1 binary64) x)
11.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
10.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
8.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
100.0%	2	`(hypot.f64 #s(literal 1 binary64) x)`
100.0%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
100.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
100.0%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
100.0%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
100.0%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
100.0%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes56.0ms (1%)

Memory

0.2MiB live, 95.4MiB allocated; 17ms collecting garbage

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(approx (pow (+ (* x x) 1) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(approx (pow (+ (* x x) 1) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Calls

7 calls:

12.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
10.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
8.0ms	x
6.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
99.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.5%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.5%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.5%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes50.0ms (0.9%)

Memory

-1.7MiB live, 89.0MiB allocated; 10ms collecting garbage

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))

Calls

7 calls:

8.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
8.0ms	(hypot.f64 #s(literal 1 binary64) x)
7.0ms	x
7.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
99.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes41.0ms (0.8%)

Memory

32.4MiB live, 77.8MiB allocated; 5ms collecting garbage

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))

Calls

7 calls:

8.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
6.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.3%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.3%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.3%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes60.0ms (1.1%)

Memory

-43.5MiB live, 61.1MiB allocated; 33ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))))

Calls

7 calls:

22.0ms	(hypot.f64 #s(literal 1 binary64) x)
14.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
98.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes47.0ms (0.9%)

Memory

1.6MiB live, 46.9MiB allocated; 6ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

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

Calls

7 calls:

20.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
4.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
98.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes32.0ms (0.6%)

Memory

13.9MiB live, 57.9MiB allocated; 6ms collecting garbage

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))

Calls

7 calls:

8.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	x
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
4.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
98.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.7%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.7%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes34.0ms (0.6%)

Memory

14.1MiB live, 63.5MiB allocated; 15ms collecting garbage

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))

Calls

7 calls:

10.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
4.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
98.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.7%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.7%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes22.0ms (0.4%)

Memory

22.1MiB live, 66.4MiB allocated; 5ms collecting garbage

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))))

Calls

7 calls:

5.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
98.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.5%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.5%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.5%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes22.0ms (0.4%)

Memory

-36.0MiB live, 56.6MiB allocated; 4ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

#s(approx (- (/ 1 (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))

Calls

7 calls:

5.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
2.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
98.1%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.1%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.1%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.1%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.1%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.1%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.1%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes26.0ms (0.5%)

Memory

-7.9MiB live, 44.9MiB allocated; 5ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) (+ (sqrt (+ (* (pow (+ (* x x) 1) -1/2) 1/2) 1/2)) 1)) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))

Calls

7 calls:

6.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
3.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
97.4%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.4%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.4%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.4%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.4%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.4%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.4%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes30.0ms (0.5%)

Memory

-0.9MiB live, 45.6MiB allocated; 3ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))

(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))

(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))

Outputs

#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))

(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))

Calls

7 calls:

3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
2.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
96.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
96.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
96.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
96.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
96.7%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
96.7%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
96.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes8.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Outputs
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Calls

7 calls:

2.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
52.0%	1	`(hypot.f64 #s(literal 1 binary64) x)`
52.0%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
52.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
52.0%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
52.0%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
52.0%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
52.0%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch20.0ms (0.4%)

Memory

-5.0MiB live, 37.6MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.00448168982101878	0.7062043373524043

Samples

13.0ms

112×

valid

Compiler

Compiled 447 to 272 computations (39.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-hypot: 2.0ms (37.9% of total)

ival-div: 1.0ms (19% of total)

ival-add: 1.0ms (19% of total)

ival-mult: 1.0ms (19% of total)

ival-sub: 1.0ms (19% of total)

ival-sqrt: 1.0ms (19% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch15.0ms (0.3%)

Memory

29.7MiB live, 29.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.7062043373524043	20.04293246132413

Samples

8.0ms

112×

valid

Compiler

Compiled 524 to 349 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-hypot: 2.0ms (35.2% of total)

ival-div: 1.0ms (17.6% of total)

ival-add: 1.0ms (17.6% of total)

ival-mult: 1.0ms (17.6% of total)

ival-sub: 1.0ms (17.6% of total)

ival-sqrt: 1.0ms (17.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch15.0ms (0.3%)

Memory

-24.8MiB live, 18.4MiB allocated; 12ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.7062043373524043	20.04293246132413

Samples

4.0ms

64×

valid

Compiler

Compiled 769 to 342 computations (55.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-hypot: 1.0ms (32.9% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch9.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.00448168982101878	0.7062043373524043

Samples

5.0ms

64×

valid

Compiler

Compiled 377 to 265 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-hypot: 1.0ms (29.7% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.7062043373524043	20.04293246132413

Samples

3.0ms

48×

valid

Compiler

Compiled 440 to 307 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-hypot: 1.0ms (44.2% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.7062043373524043	20.04293246132413

Samples

1.0ms

16×

valid

Compiler

Compiled 482 to 349 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.7062043373524043	20.04293246132413

Compiler

Compiled 440 to 321 computations (27% saved)

bsearch15.0ms (0.3%)

Memory

-40.3MiB live, 8.8MiB allocated; 19ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.7062043373524043	20.04293246132413

Samples

12.0ms

32×

valid

Compiler

Compiled 405 to 293 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-hypot: 1.0ms (63.5% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.7062043373524043	20.04293246132413

Compiler

Compiled 363 to 272 computations (25.1% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.7062043373524043	20.04293246132413

Compiler

Compiled 615 to 293 computations (52.4% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.7062043373524043	20.04293246132413

Compiler

Compiled 335 to 251 computations (25.1% saved)

bsearch6.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.7062043373524043	20.04293246132413

Samples

3.0ms

48×

valid

Compiler

Compiled 300 to 237 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-hypot: 1.0ms (44.3% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

simplify50.0ms (0.9%)

Memory

-0.7MiB live, 43.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	768
1	182	744
2	333	744
3	699	731
4	2947	730

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 8358680908399641/288230376151711744 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7385903388887613/9007199254740992 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(approx (pow (+ (* x x) 1) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))))))))
(if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) #s(approx (- (/ 1 (+ (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 3422735716801577/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Outputs
(if (<=.f64 x #s(literal 8358680908399641/288230376151711744 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7385903388887613/9007199254740992 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 #s(approx (pow (+ (* x x) 1) -1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))))))))
(if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) #s(approx (- (/ 1 (+ (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 3422735716801577/2251799813685248 binary64)) #s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

derivations588.0ms (10.7%)

Memory

-20.8MiB live, 517.9MiB allocated; 267ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 820 to 129 computations (84.3% saved)

preprocess65.0ms (1.2%)

Memory: 42.7MiB live, 132.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 1 794 to 350 computations (80.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (32.2%)

explain182.0ms (3.3%)

preprocess206.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.1%)

simplify135.0ms (2.5%)

rewrite52.0ms (0.9%)

eval23.0ms (0.4%)

prune37.0ms (0.7%)

series28.0ms (0.5%)

simplify223.0ms (4%)

rewrite99.0ms (1.8%)

eval72.0ms (1.3%)

prune31.0ms (0.6%)

series48.0ms (0.9%)

simplify260.0ms (4.7%)

rewrite148.0ms (2.7%)

eval147.0ms (2.7%)

prune23.0ms (0.4%)

series46.0ms (0.8%)

simplify244.0ms (4.4%)

rewrite175.0ms (3.2%)

eval201.0ms (3.7%)

prune43.0ms (0.8%)

regimes76.0ms (1.4%)

regimes56.0ms (1%)

regimes50.0ms (0.9%)

regimes41.0ms (0.8%)

regimes60.0ms (1.1%)

regimes47.0ms (0.9%)

regimes32.0ms (0.6%)

regimes34.0ms (0.6%)

regimes22.0ms (0.4%)

regimes22.0ms (0.4%)

regimes26.0ms (0.5%)

regimes30.0ms (0.5%)

regimes8.0ms (0.1%)

bsearch20.0ms (0.4%)

bsearch15.0ms (0.3%)

bsearch15.0ms (0.3%)

bsearch9.0ms (0.2%)

bsearch7.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch2.0ms (0%)

bsearch15.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch6.0ms (0.1%)

simplify50.0ms (0.9%)

derivations588.0ms (10.7%)

preprocess65.0ms (1.2%)

end0.0ms (0%)

Profiling