Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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)

sample2.8s (37.7%)

Memory

-39.9MiB live, 3 178.7MiB allocated

Samples

1.1s	4 181×	0	valid
1.0s	2 856×	2	valid
235.0ms	1 219×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-hypot: 516.0ms (38.3% of total)

ival-sqrt: 209.0ms (15.5% of total)

ival-mult: 146.0ms (10.8% of total)

adjust: 138.0ms (10.2% of total)

ival-div: 127.0ms (9.4% of total)

ival-add: 104.0ms (7.7% of total)

ival-sub: 88.0ms (6.5% of total)

exact: 9.0ms (0.7% of total)

ival-true: 7.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain184.0ms (2.5%)

Memory

-39.2MiB live, 392.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
64	-	-	`(-.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	64	0

Confusion

	Predicted +	Predicted -
+	64	0
-	0	192

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	0	0	192

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	192
1	64

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	156×	2	valid
25.0ms	280×	0	valid
20.0ms	76×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-hypot: 27.0ms (40.6% of total)

ival-div: 10.0ms (15% of total)

ival-sqrt: 7.0ms (10.5% of total)

adjust: 6.0ms (9% of total)

ival-mult: 6.0ms (9% of total)

ival-sub: 5.0ms (7.5% of total)

ival-add: 4.0ms (6% of total)

exact: 1.0ms (1.5% of total)

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

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

preprocess15.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

Symmetry

(abs x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(-.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)

simplify5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
cost-diff	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)))))
cost-diff	0	(-.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))))))
cost-diff	2	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	18	49
1	35	43
2	65	43
3	105	43
4	137	43
5	144	43
0	144	43

Stop Event

1×	iter limit
1×	saturated
1×	iter 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))))))
#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 #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 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 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)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 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))))
(-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x

localize58.0ms (0.8%)

Memory

-0.9MiB live, 87.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
accuracy	0.00390625	(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)))))
accuracy	15.414842183001493	(-.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))))))

Samples

27.0ms	78×	2	valid
16.0ms	140×	0	valid
6.0ms	38×	1	valid

Compiler

Compiled 81 to 11 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-hypot: 15.0ms (39.1% of total)

ival-sqrt: 9.0ms (23.5% of total)

adjust: 3.0ms (7.8% of total)

ival-div: 3.0ms (7.8% of total)

ival-mult: 3.0ms (7.8% of total)

ival-sub: 2.0ms (5.2% of total)

ival-add: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

5 → 54

Calls

Call 1

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

Outputs
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 (* (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))))))))
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)))
1/2
(+ 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 (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 (/ 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)
(- 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 (* 1/2 (/ (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 (/ 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))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify194.0ms (2.6%)

Memory

-14.8MiB live, 168.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	845
1	633	767
2	1960	714
3	7820	714
0	8462	676

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

Inputs
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 (* (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))))))))
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)))
1/2
(+ 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 (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 (/ 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)
(- 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 (* 1/2 (/ (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 (/ 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))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/32 binary64) (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (*.f64 x x) #s(literal 1 binary64))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.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 (.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #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)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 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 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 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))
(*.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 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 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))) (* 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 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 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 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/16 binary64) (-.f64 (.f64 #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 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/16 binary64) (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 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 #s(literal 1/2 binary64) (/.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 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 (/ 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 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ (- (+ 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)
(- 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 (-.f64 #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))))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 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 #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 (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 (/ 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 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ -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 (/.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))

rewrite240.0ms (3.3%)

Memory

-1.2MiB live, 287.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	18	33
1	82	33
2	609	33
3	6358	33
0	8243	30

Stop Event

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

Counts

5 → 280

Calls

Call 1

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

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

eval42.0ms (0.6%)

Memory: -9.0MiB live, 82.3MiB allocated
Compiler: Compiled 8 248 to 1 577 computations (80.9% saved)

prune8.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	328	6	334
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	329	6	335

Accuracy

76.3%

Counts

335 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.1%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	2.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))))))))
▶	22.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
▶	54.9%	(-.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)))))
▶	23.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
▶	55.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))

Compiler

Compiled 292 to 188 computations (35.6% saved)

simplify126.0ms (1.7%)

Memory

10.8MiB live, 160.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(hypot.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
cost-diff	0	(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))))
cost-diff	0	(-.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)))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	263
0	60	263
1	96	239
2	172	239
3	349	239
4	960	239
5	4440	239
0	8166	239

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x 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 binary64))))
#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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/4 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)))))
#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)
#s(literal 1/2 binary64)
x
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 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 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cosh.f64 (atanh.f64 x))
(atanh.f64 x)

Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x 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 binary64))))
#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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 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)))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#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)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/4 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)))))
#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)
#s(literal 1/2 binary64)
x
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 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 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cosh.f64 (atanh.f64 x))
(atanh.f64 x)

localize179.0ms (2.4%)

Memory

-5.2MiB live, 181.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(atanh.f64 x)
accuracy	0.00390625	(fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.00390625	(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	14.87772685083006	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
accuracy	0.0	(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
accuracy	0.0	(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))))
accuracy	14.875779683001493	(-.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)))))
accuracy	27.443743018012203	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy	0.0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	14.875779683001493	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
accuracy	0.0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
accuracy	0.036431365184071494	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
accuracy	14.875779683001493	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
accuracy	0.0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	14.875779683001493	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
accuracy	23.5625	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))

Samples

67.0ms	78×	2	valid
41.0ms	140×	0	invalid
16.0ms	38×	1	valid

Compiler

Compiled 299 to 26 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-div: 36.0ms (36.4% of total)

ival-sqrt: 18.0ms (18.2% of total)

adjust: 11.0ms (11.1% of total)

ival-hypot: 11.0ms (11.1% of total)

ival-add: 7.0ms (7.1% of total)

ival-mult: 7.0ms (7.1% of total)

ival-sub: 4.0ms (4% of total)

ival-cosh: 2.0ms (2% of total)

ival-atanh: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.6%)

Memory

-11.4MiB live, 33.2MiB allocated

Counts

21 → 96

Calls

Call 1

Inputs
(-.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)))))) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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)))))
(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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.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))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 x x)
(fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(atanh.f64 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)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -13/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 81/1024 (pow x 2)) 13/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 81/1024 (* -2397/32768 (pow x 2)))) 13/128))))
(* 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))))
1/2
(+ 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 (* 1/4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/4 (* 3/16 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/16 (* 5/32 (pow x 2)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (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 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)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(/ 1/2 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/2 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 2) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (- (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 3) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))))))))
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 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 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))
(+ 1/2 (+ (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))) (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) x))))
(+ 1/2 (+ (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))) (+ (* 1/4 (/ (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (pow x 2))) (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) x)))))
(+ 1/2 (+ (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))) (+ (* 1/4 (/ (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (pow x 2))) (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) x)) (* 1/4 (/ (- (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (pow x 3)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(- (+ 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 (/ (- 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)))
(+ (* 1/16 (* (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(+ (* -1 (/ (- (+ (* -1/8 (* (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* -1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))))) x)) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) x)) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 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)))))
(+ 1/2 (+ (* -1/4 (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) x)) (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/4 (/ (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x)) (* 1/4 (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) x)) (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))
(+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x)) (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))))) x)) (* 1/4 (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) x)) (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))

Calls

3 calls:

Time	Variable		Point	Expression
32.0ms	x	@	-inf	((- 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 (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)))))) (+ (* (* x x) -1/4) 1) (- 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 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* x x) (+ (* (cosh (atanh x)) 1/2) 1/2) (atanh x))
6.0ms	x	@	inf	((- 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 (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)))))) (+ (* (* x x) -1/4) 1) (- 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 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* x x) (+ (* (cosh (atanh x)) 1/2) 1/2) (atanh x))
4.0ms	x	@	0	((- 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 (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)))))) (+ (* (* x x) -1/4) 1) (- 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 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* x x) (+ (* (cosh (atanh x)) 1/2) 1/2) (atanh x))

Time

Variable

Point

Expression

32.0ms

-inf

((- 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 (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)))))) (+ (* (* x x) -1/4) 1) (- 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 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* x x) (+ (* (cosh (atanh x)) 1/2) 1/2) (atanh x))

6.0ms

inf

((- 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 (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)))))) (+ (* (* x x) -1/4) 1) (- 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 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* x x) (+ (* (cosh (atanh x)) 1/2) 1/2) (atanh x))

4.0ms

((- 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 (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)))))) (+ (* (* x x) -1/4) 1) (- 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 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* x x) (+ (* (cosh (atanh x)) 1/2) 1/2) (atanh x))

simplify177.0ms (2.4%)

Memory

35.0MiB live, 216.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	488	3592
1	1666	3378
2	6455	3311
0	8551	3086

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

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)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -13/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 81/1024 (pow x 2)) 13/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 81/1024 (* -2397/32768 (pow x 2)))) 13/128))))
(* 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))))
1/2
(+ 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 (* 1/4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/4 (* 3/16 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/16 (* 5/32 (pow x 2)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (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 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)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(/ 1/2 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/2 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 2) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (- (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 3) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))))))))
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 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 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))
(+ 1/2 (+ (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))) (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) x))))
(+ 1/2 (+ (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))) (+ (* 1/4 (/ (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (pow x 2))) (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) x)))))
(+ 1/2 (+ (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))) (+ (* 1/4 (/ (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (pow x 2))) (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) x)) (* 1/4 (/ (- (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (pow x 3)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(- (+ 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 (/ (- 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)))
(+ (* 1/16 (* (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(+ (* -1 (/ (- (+ (* -1/8 (* (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* -1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))))) x)) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) x)) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 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)))))
(+ 1/2 (+ (* -1/4 (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) x)) (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/4 (/ (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x)) (* 1/4 (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) x)) (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))
(+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x)) (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))))) x)) (* 1/4 (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) x)) (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))

Outputs
(- 1 (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 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 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #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)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 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)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 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 (fma.f64 (/.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 x x) (/.f64 (.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
#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 (-.f64 (.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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) 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 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (+ 1/8 (* -13/128 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 81/1024 (pow x 2)) 13/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 81/1024 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 81/1024 (* -2397/32768 (pow x 2)))) 13/128))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -2397/32768 binary64) (.f64 x x) #s(literal 81/1024 binary64)) x) x) #s(literal 13/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) 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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) x) x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (* 1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/4 (* 3/16 (pow x 2)))))
(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) (+ 1/4 (* (pow x 2) (+ 3/16 (* 5/32 (pow x 2)))))))
(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))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 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))))
(-.f64 #s(literal 1 binary64) (+.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) (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)) (+.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) (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))))
(+.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) (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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -3/16 binary64) (+.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) (sqrt.f64 #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 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1/4 (pow x 2))
(.f64 #s(literal -1/4 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64)) x) x)
(/ 1/2 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))
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(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) #s(literal -1/8 binary64)) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/16 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))) #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/16 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) (neg.f64 x)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) #s(literal -1/8 binary64)) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/16 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))) (neg.f64 x)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/16 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
(-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/32 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))))))
(neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f64 (neg.f64 x) (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (/.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)))))
(+ 1/2 (+ (* -1/4 (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) x)) (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
(+ 1/2 (+ (* -1 (/ (+ (* -1/4 (/ (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x)) (* 1/4 (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) x)) (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))
(fma.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) x) #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x)) (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))))) x)) (* 1/4 (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) x)) (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))) x) #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))))) x) #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) x) #s(literal 1 binary64)) (neg.f64 x)))

rewrite213.0ms (2.9%)

Memory

-31.8MiB live, 275.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	229
0	60	205
1	242	205
2	1745	205
0	9350	193

Stop Event

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

Counts

21 → 406

Calls

Call 1

Inputs
(-.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)))))) #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 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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)))))
(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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.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))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 x x)
(fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(atanh.f64 x)

Outputs
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))) (.f64 (sqrt.f64 (-.f64 (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (.f64 (sqrt.f64 (-.f64 (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))) (.f64 (sqrt.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (.f64 (sqrt.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64)))) (sqrt.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64))) (.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64))) #s(literal 1/8 binary64))) (.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64))))
(fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cosh.f64 (atanh.f64 x))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cosh.f64 (atanh.f64 x))))
(fabs.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (cosh.f64 (atanh.f64 x))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log1p.f64 (cosh.f64 (atanh.f64 x))) (log.f64 #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64))))) (/.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64))))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64)))) (/.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (exp.f64 (*.f64 (atanh.f64 x) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (log.f64 (exp.f64 (*.f64 (atanh.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (log.f64 (exp.f64 (*.f64 (atanh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(atanh.f64 x)
(-.f64 (/.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))

eval70.0ms (0.9%)

Memory: -3.3MiB live, 135.7MiB allocated
Compiler: Compiled 20 488 to 2 377 computations (88.4% saved)

prune14.0ms (0.2%)

Memory

-14.9MiB live, 31.4MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	494	4	498
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	498	6	504

Accuracy

99.9%

Counts

504 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.7%	(/.f64 (-.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 (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)))
▶	56.1%	(/.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)))
✓	54.9%	(-.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)))))
✓	55.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	45.7%	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
▶	47.5%	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Compiler

Compiled 189 to 111 computations (41.3% saved)

simplify129.0ms (1.8%)

Memory

14.4MiB live, 201.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
cost-diff	0	(-.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))))
cost-diff	0	(/.f64 (-.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 (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)))
cost-diff	0	(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
cost-diff	0	(/.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)))
cost-diff	0	(fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -13/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
cost-diff	0	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/8 binary64) (.f64 x x))
cost-diff	0	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	328
0	56	328
1	106	304
2	207	304
3	471	304
4	1405	304
5	5439	304
0	8052	288

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.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)
x
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -13/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal -13/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 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) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#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))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
(/.f64 (-.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 (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))))
#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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(+.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))))

Outputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -13/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal -13/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 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) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#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))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
(/.f64 (-.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 (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))))
#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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(+.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))))

localize136.0ms (1.9%)

Memory

2.0MiB live, 147.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(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))))
accuracy	0.00390625	(/.f64 (-.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 (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)))
accuracy	14.880038799808558	(-.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))))
accuracy	27.443743018012203	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
accuracy	0.0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	0.00390625	(/.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)))
accuracy	14.880038799808558	(-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	23.5625	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.0	(.f64 (fma.f64 #s(literal -13/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
accuracy	0.0	(.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal 1/8 binary64) (.f64 x x))
accuracy	0.04043335617791575	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Samples

45.0ms	140×	0	invalid
45.0ms	77×	2	valid
15.0ms	39×	1	valid

Compiler

Compiled 296 to 32 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 13.0ms (15.5% of total)

ival-cosh: 12.0ms (14.3% of total)

ival-hypot: 11.0ms (13.1% of total)

ival-mult: 11.0ms (13.1% of total)

adjust: 10.0ms (12% of total)

ival-add: 9.0ms (10.8% of total)

ival-atanh: 8.0ms (9.6% of total)

ival-sqrt: 5.0ms (6% of total)

ival-sub: 4.0ms (4.8% of total)

exact: 1.0ms (1.2% of total)

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

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

series17.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

17 → 77

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(*.f64 x x)
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -13/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 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) #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 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.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 (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))))
#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))
(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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))

Outputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -13/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 81/1024 (pow x 2)) 13/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 81/1024 (* -2397/32768 (pow x 2)))) 13/128))))
(pow x 2)
(* 1/8 x)
(* x (+ 1/8 (* -13/128 (pow x 2))))
1/8
(+ 1/8 (* -13/128 (pow x 2)))
(* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 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) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (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)))) (* 35/256 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* 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 (* (sqrt 1/2) (sqrt 2)))
(+ 1 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))
(+ 1 (+ (* (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)))))))
(+ 1 (+ (* (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)))))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(* (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))))))))
(/ 1/2 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/2 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 2) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (- (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 3) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))))))))
(* -13/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 13/128))
(* -13/128 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 13/128))
(* -13/128 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 13/128))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -3/32 (/ (sqrt 1/2) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1/16 (/ (sqrt 1/2) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
(+ 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 (sqrt 1/2))
(+ 1 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(+ 1 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(+ 1 (+ (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))))))
(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)))))
(+ (* 1/16 (* (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(+ (* -1 (/ (- (+ (* -1/8 (* (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* -1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))))) x)) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) x)) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(* -1 (* (pow x 3) (- 13/128 (* 1/8 (/ 1 (pow x 2))))))
(+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) 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 (+ (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)))

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

inf

((/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (* 1/8 (* x x)) (* x x) (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (* (+ (* -13/128 (* x x)) 1/8) x) (+ (* -13/128 (* x x)) 1/8) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))

4.0ms

-inf

((/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (* 1/8 (* x x)) (* x x) (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (* (+ (* -13/128 (* x x)) 1/8) x) (+ (* -13/128 (* x x)) 1/8) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))

4.0ms

((/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (* 1/8 (* x x)) (* x x) (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (* (+ (* -13/128 (* x x)) 1/8) x) (+ (* -13/128 (* x x)) 1/8) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))

simplify208.0ms (2.8%)

Memory

-34.5MiB live, 233.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	474	4095
1	1635	3798
2	6877	3684
0	8324	3437

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -13/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 81/1024 (pow x 2)) 13/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 81/1024 (* -2397/32768 (pow x 2)))) 13/128))))
(pow x 2)
(* 1/8 x)
(* x (+ 1/8 (* -13/128 (pow x 2))))
1/8
(+ 1/8 (* -13/128 (pow x 2)))
(* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 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) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (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)))) (* 35/256 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* 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 (* (sqrt 1/2) (sqrt 2)))
(+ 1 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))
(+ 1 (+ (* (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)))))))
(+ 1 (+ (* (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)))))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(* (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))))))))
(/ 1/2 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/2 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 2) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (- (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 3) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))))))))
(* -13/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 13/128))
(* -13/128 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 13/128))
(* -13/128 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 13/128))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -3/32 (/ (sqrt 1/2) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1/16 (/ (sqrt 1/2) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
(+ 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 (sqrt 1/2))
(+ 1 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(+ 1 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(+ 1 (+ (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))))))
(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)))))
(+ (* 1/16 (* (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(+ (* -1 (/ (- (+ (* -1/8 (* (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* -1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))))) x)) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) x)) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(* -1 (* (pow x 3) (- 13/128 (* 1/8 (/ 1 (pow x 2))))))
(+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) 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 (+ (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)))

Outputs
(* 1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (* -13/128 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 81/1024 (pow x 2)) 13/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 81/1024 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 81/1024 (* -2397/32768 (pow x 2)))) 13/128))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -2397/32768 binary64) (.f64 x x) #s(literal 81/1024 binary64)) x) x) #s(literal 13/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (* -13/128 (pow x 2))))
(.f64 (fma.f64 #s(literal -13/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -13/128 (pow x 2)))
(fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))
(.f64 (.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))) x) x)
(* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x))
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(-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))
(+ 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) (+.f64 (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 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))) x))
(+ (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)))
(-.f64 (sqrt.f64 #s(literal 1/2 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))
(+ (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 (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 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))) x))

rewrite203.0ms (2.8%)

Memory

-0.6MiB live, 277.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	291
0	56	236
1	259	202
2	1875	202
0	8520	191

Stop Event

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

Counts

17 → 322

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(*.f64 x x)
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -13/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 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) #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 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.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 (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))))
#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))
(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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))

Outputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 1/8 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/8 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/8 binary64)))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/8 binary64) x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 x))) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -13/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(literal -13/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -13/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (.f64 x x)) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64)))))
(.f64 (fma.f64 #s(literal -13/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(.f64 x (fma.f64 #s(literal -13/128 binary64) (.f64 x x) #s(literal 1/8 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) x) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x)) (.f64 (.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) x) (.f64 #s(literal 1/8 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal -13/128 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal -13/128 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -13/128 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x)) (.f64 (.f64 x (.f64 #s(literal -13/128 binary64) (.f64 x x))) (.f64 #s(literal 1/8 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 #s(literal -13/128 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x) (-.f64 (.f64 (.f64 x (.f64 #s(literal -13/128 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -13/128 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 x (.f64 #s(literal -13/128 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)) x)) (neg.f64 (-.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) x)) (neg.f64 (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -13/1024 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -13/1024 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)) x) (-.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) x) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -13/1024 binary64)))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64))) (-.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64))) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -13/1024 binary64)))))
(fma.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) x (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 #s(literal -13/128 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 x (.f64 #s(literal -13/128 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal -13/128 binary64) (.f64 x x)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 x #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -13/128 binary64) (*.f64 x x)) x))
(fma.f64 x #s(literal 1/8 binary64) (.f64 x (.f64 #s(literal -13/128 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) x) (.f64 #s(literal 1/8 binary64) x))
(+.f64 (.f64 x (.f64 #s(literal -13/128 binary64) (.f64 x x))) (.f64 #s(literal 1/8 binary64) x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 x (.f64 #s(literal -13/128 binary64) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64))))) (/.f64 (.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64)))))) (.f64 (/.f64 (.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -13/128 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -13/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (-.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (.f64 (-.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (.f64 #s(literal -13/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -2197/2097152 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64)))) (.f64 (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64)))) #s(literal 1/512 binary64))) (.f64 (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -13/1024 binary64)))) (fma.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -13/1024 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -13/128 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 169/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -13/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64))))
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(.f64 (pow.f64 #s(literal 1 binary64) #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)))))
(.f64 (pow.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 1/4 binary64)) (pow.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 1/4 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)))) (pow.f64 #s(literal 1 binary64) #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) (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)))))
(pow.f64 (pow.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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.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 2 binary64)) #s(literal 1/4 binary64))
(pow.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))
(pow.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 1/2 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))))
(fabs.f64 (neg.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))))))
(fabs.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)))))
(exp.f64 (log.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))))))
(+.f64 (cosh.f64 (log.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)))))) (sinh.f64 (log.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)))))))

eval71.0ms (1%)

Memory: -3.6MiB live, 98.1MiB allocated
Compiler: Compiled 32 340 to 2 075 computations (93.6% saved)

prune17.0ms (0.2%)

Memory

-4.7MiB live, 41.1MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	485	4	489
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	486	9	495

Accuracy

100.0%

Counts

495 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(/.f64 (-.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 (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)))
▶	56.1%	(/.f64 #s(approx (- 1 (* 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)))
✓	54.9%	(-.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)))))
✓	55.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	55.5%	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
▶	45.7%	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x)))
✓	45.7%	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	47.5%	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
▶	13.9%	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) #s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 373 to 207 computations (44.5% saved)

simplify101.0ms (1.4%)

Memory

7.1MiB live, 148.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(approx (- 1 (* 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)))
cost-diff	0	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	1	(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	1	(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x)
cost-diff	5	(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x))
cost-diff	0	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x)))
cost-diff	2	(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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	4	(fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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))))
cost-diff	0	(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 13/128 binary64))
cost-diff	0	(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	#s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) #s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	606
0	105	606
1	191	578
2	493	576
3	1886	553
0	8434	526

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) #s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 13/128 binary64))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(literal 13/128 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x)))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x))
(fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 (neg.f64 x) x)
(neg.f64 x)
x
(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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.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))))
(sqrt.f64 #s(literal 1/2 binary64))
#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)))
(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))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1/16 binary64)
(/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 3/16 binary64)
(/.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)))
#s(literal 1/4 binary64)
(*.f64 x x)
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* 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)))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1/2 binary64))
#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))
(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))
#s(literal 1 binary64)

Outputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) #s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) #s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)))))
#s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 13/128 binary64))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(literal 13/128 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x)))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.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))) (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #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 x x)))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.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))) (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #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 x x))
(fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.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))) (fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #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 (neg.f64 x) x)
(neg.f64 x)
x
(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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.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))))
(sqrt.f64 #s(literal 1/2 binary64))
#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)))
(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))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1/16 binary64)
(/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 3/16 binary64)
(/.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)))
#s(literal 1/4 binary64)
(*.f64 x x)
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (* 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)))
#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1/2 binary64))
#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))
(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))
#s(literal 1 binary64)

localize318.0ms (4.3%)

Memory

-2.4MiB live, 380.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	0.00390625	(/.f64 #s(approx (- 1 (* 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)))
accuracy	23.5625	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
accuracy	27.778867289604552	#s(approx (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1/2 binary64))
accuracy	0.1875	(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x)
accuracy	0.453125	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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)))
accuracy	0.453125	(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	28.457529636537057	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
accuracy	0.0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x)))
accuracy	0.00390625	(.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x))
accuracy	0.0	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) #s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))))
accuracy	0.0	#s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
accuracy	0.07421875	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
accuracy	20.119043552878768	(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))

Samples

149.0ms	140×	0	invalid
88.0ms	77×	2	valid
31.0ms	39×	1	valid

Compiler

Compiled 533 to 65 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-mult: 115.0ms (49.4% of total)

ival-div: 34.0ms (14.6% of total)

adjust: 23.0ms (9.9% of total)

ival-add: 17.0ms (7.3% of total)

ival-sqrt: 12.0ms (5.2% of total)

ival-hypot: 11.0ms (4.7% of total)

ival-sub: 8.0ms (3.4% of total)

ival-pow: 3.0ms (1.3% of total)

ival-pow2: 3.0ms (1.3% of total)

ival-cosh: 2.0ms (0.9% of total)

ival-atanh: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series21.0ms (0.3%)

Memory

30.4MiB live, 30.4MiB allocated

Counts

22 → 80

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) #s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 13/128 binary64))
(fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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))))
(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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x)))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x))
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (- 1 (* 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)))
#s(approx (- 1 (* 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))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(neg.f64 x)
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))

Outputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -13/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 81/1024 (pow x 2)) 13/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 81/1024 (* -2397/32768 (pow x 2)))) 13/128))))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -13/128 (pow x 2))) (pow x 2))
(/ 1/4 (+ 1 (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))
(* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 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) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (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)))) (* 35/256 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* -1 (/ (+ 1/2 (* 1/4 (/ (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* x (+ 1 (sqrt 1/2)))))
(/ (+ (* -1 (/ (+ 1/2 (* 1/4 (/ (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (* 1/2 (/ x (+ 1 (sqrt 1/2))))) x)
(/ (+ 1/2 (* 1/4 (/ (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* x (+ 1 (sqrt 1/2))))
(* 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 (* (sqrt 1/2) (sqrt 2)))
(+ 1 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))
(+ 1 (+ (* (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)))))))
(+ 1 (+ (* (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)))))))))
(* (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 x)
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 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/2 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 2) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (- (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 3) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))))))))
(* -13/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 13/128))
-13/128
(- (* 1/8 (/ 1 (pow x 2))) 13/128)
(* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))
(* (pow x 2) (+ (* -1 (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* 1/4 (/ 1 (* (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -3/32 (/ (sqrt 1/2) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1/16 (/ (sqrt 1/2) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))))
(* -1 (* (pow x 4) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))
(* (pow x 4) (+ (* -1 (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* 1/4 (/ 1 (* (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))
(+ (* -1 (/ (+ 1/2 (* 1/4 (/ (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* x (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
(+ 1 (sqrt 1/2))
(+ 1 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(+ 1 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(+ 1 (+ (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))))))
(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 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)))
(+ (* 1/16 (* (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(+ (* -1 (/ (- (+ (* -1/8 (* (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* -1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))))) x)) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) x)) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) 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 (/ (- 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)))

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

((/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (* (- (/ 1/8 (* x x)) 13/128) (pow x 4)) (- (/ 1/8 (* x x)) 13/128) (+ (* (* (neg x) x) (+ (* (/ (sqrt 1/2) (* (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2) (sqrt 2))) -1/16) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (+ (* (/ (sqrt 1/2) (* (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2) (sqrt 2))) -1/16) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (+ (* (* (neg x) x) (+ (* (/ (sqrt 1/2) (* (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2) (sqrt 2))) -1/16) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (* x x)) (+ (* (/ (/ (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) x) -1) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (/ (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) x) (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (/ 1/8 (* x x)) (neg x) (sqrt 1/2) (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1)) (/ (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))

6.0ms

inf

((/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (* (- (/ 1/8 (* x x)) 13/128) (pow x 4)) (- (/ 1/8 (* x x)) 13/128) (+ (* (* (neg x) x) (+ (* (/ (sqrt 1/2) (* (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2) (sqrt 2))) -1/16) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (+ (* (/ (sqrt 1/2) (* (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2) (sqrt 2))) -1/16) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (+ (* (* (neg x) x) (+ (* (/ (sqrt 1/2) (* (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2) (sqrt 2))) -1/16) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (* x x)) (+ (* (/ (/ (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) x) -1) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (/ (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) x) (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (/ 1/8 (* x x)) (neg x) (sqrt 1/2) (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1)) (/ (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))

5.0ms

-inf

((/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (* (- (/ 1/8 (* x x)) 13/128) (pow x 4)) (- (/ 1/8 (* x x)) 13/128) (+ (* (* (neg x) x) (+ (* (/ (sqrt 1/2) (* (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2) (sqrt 2))) -1/16) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (+ (* (/ (sqrt 1/2) (* (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2) (sqrt 2))) -1/16) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (+ (* (* (neg x) x) (+ (* (/ (sqrt 1/2) (* (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2) (sqrt 2))) -1/16) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (* x x)) (+ (* (/ (/ (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) x) -1) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (/ (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) x) (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (/ 1/8 (* x x)) (neg x) (sqrt 1/2) (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1)) (/ (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))

simplify201.0ms (2.7%)

Memory

-24.5MiB live, 201.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	487	4344
1	1702	4008
2	7235	3881
0	8790	3597

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 80

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -13/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 81/1024 (pow x 2)) 13/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 81/1024 (* -2397/32768 (pow x 2)))) 13/128))))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -13/128 (pow x 2))) (pow x 2))
(/ 1/4 (+ 1 (* (sqrt 1/2) (sqrt 2))))
(+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))
(* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))
(* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 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) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (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)))) (* 35/256 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
(* -1 (/ (+ 1/2 (* 1/4 (/ (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* x (+ 1 (sqrt 1/2)))))
(/ (+ (* -1 (/ (+ 1/2 (* 1/4 (/ (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (* 1/2 (/ x (+ 1 (sqrt 1/2))))) x)
(/ (+ 1/2 (* 1/4 (/ (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* x (+ 1 (sqrt 1/2))))
(* 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 (* (sqrt 1/2) (sqrt 2)))
(+ 1 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))
(+ 1 (+ (* (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)))))))
(+ 1 (+ (* (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)))))))))
(* (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 x)
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 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/2 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 3) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/8 (* (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (sqrt -1) (/ 1 (sqrt -1)))) (* (pow x 2) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/16 (* (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 2) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/4 (* (/ (- (* 1/4 (- (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* (pow x 3) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))))))))
(* -13/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 13/128))
-13/128
(- (* 1/8 (/ 1 (pow x 2))) 13/128)
(* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))
(* (pow x 2) (+ (* -1 (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* 1/4 (/ 1 (* (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -3/32 (/ (sqrt 1/2) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1/16 (/ (sqrt 1/2) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))))
(* -1 (* (pow x 4) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))
(* (pow x 4) (+ (* -1 (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* 1/4 (/ 1 (* (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))
(+ (* -1 (/ (+ 1/2 (* 1/4 (/ (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* x (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
(+ 1 (sqrt 1/2))
(+ 1 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(+ 1 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))
(+ 1 (+ (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))))))
(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 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)))
(+ (* 1/16 (* (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (/ 1/2 (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))))
(+ (* -1 (/ (- (+ (* -1/8 (* (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (* x (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (* 1/4 (* (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* x (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* -1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* -1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/8 (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2))))))) x)) (+ (* -1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (* (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))))) (* 1/4 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (- (* 1/4 (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) (* 1/64 (/ (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2) (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))))) x)) (+ (* 1/16 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (/ (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) (pow (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))))
(+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) 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 (/ (- 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)))

Outputs
(* 1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (* -13/128 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -13/128 binary64) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 81/1024 (pow x 2)) 13/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 81/1024 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 81/1024 (* -2397/32768 (pow x 2)))) 13/128))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -2397/32768 binary64) (.f64 x x) #s(literal 81/1024 binary64)) x) x) #s(literal 13/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (+ 1/8 (* -13/128 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -13/128 binary64) #s(literal 1/8 binary64)) x) x)
(/ 1/4 (+ 1 (* (sqrt 1/2) (sqrt 2))))
(/.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)))
(+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.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)))) (/.f64 #s(literal -3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 x x) (/.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))))
(* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))
(.f64 (.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))) x) x)
(* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
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(fma.f64 (/.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -3/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (sqrt.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))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 x)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.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)))) (neg.f64 x)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
(-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x)))
(+ 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) (+.f64 (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 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))) x))
(+ (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)))
(-.f64 (sqrt.f64 #s(literal 1/2 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))
(+ (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 (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 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))) 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 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))

rewrite241.0ms (3.3%)

Memory

-1.8MiB live, 384.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	502
0	105	375
1	458	340
2	3119	308
0	9947	294

Stop Event

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

Counts

22 → 319

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) #s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 13/128 binary64))
(fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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))))
(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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x)))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x))
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (- 1 (* 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)))
#s(approx (- 1 (* 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))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(neg.f64 x)
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))

Outputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) #s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)))))
#s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (.f64 x x)) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 13/128 binary64))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 169/16384 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 13/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2197/2097152 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 169/16384 binary64)) (/.f64 #s(literal 13/1024 binary64) (.f64 x x))))
(/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 169/16384 binary64))) (+.f64 #s(literal 13/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
(/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2197/2097152 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 169/16384 binary64)) (/.f64 #s(literal 13/1024 binary64) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 169/16384 binary64))) (neg.f64 (+.f64 #s(literal 13/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2197/2097152 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 169/16384 binary64)) (/.f64 #s(literal 13/1024 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 169/16384 binary64)) (+.f64 #s(literal 13/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2197/2097152 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 169/16384 binary64)) (/.f64 #s(literal 13/1024 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 13/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) (/.f64 #s(literal 169/16384 binary64) (+.f64 #s(literal 13/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 169/16384 binary64)) (/.f64 #s(literal 13/1024 binary64) (.f64 x x)))) (/.f64 #s(literal 2197/2097152 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 169/16384 binary64)) (/.f64 #s(literal 13/1024 binary64) (.f64 x x)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 13/128 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 1331/2097152 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 11/1024 binary64)))) (.f64 (fma.f64 #s(literal 121/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 11/1024 binary64)))) #s(literal 1/512 binary64))) (.f64 (fma.f64 #s(literal 121/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 11/1024 binary64)))) (fma.f64 #s(literal 121/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal 11/1024 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 121/16384 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 11/128 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 121/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (*.f64 (neg.f64 x) x)) #s(literal 1/8 binary64))))
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.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)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (neg.f64 (+.f64 (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))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #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 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/4 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)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (neg.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)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 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 binary64)) (.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #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 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #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(literal 1/2 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.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))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 #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))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(.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) #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))

eval82.0ms (1.1%)

Memory: 21.9MiB live, 255.4MiB allocated
Compiler: Compiled 34 519 to 2 574 computations (92.5% saved)

prune24.0ms (0.3%)

Memory

-15.2MiB live, 39.7MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	494	2	496
Fresh	0	0	0
Picked	3	1	4
Done	0	5	5
Total	497	8	505

Accuracy

100.0%

Counts

505 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(/.f64 (-.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 (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)))
✓	56.1%	(/.f64 #s(approx (- 1 (* 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)))
✓	54.9%	(-.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)))))
✓	55.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	45.7%	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal 11/128 binary64) (*.f64 (neg.f64 x) x) #s(literal 1/8 binary64)) x) x))
	55.3%	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(approx (+ (* (/ (/ (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) x) -1) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x))))
✓	45.7%	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	47.5%	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Compiler

Compiled 974 to 325 computations (66.6% saved)

regimes39.0ms (0.5%)

Memory

-8.9MiB live, 37.2MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.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 (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal 11/128 binary64) (*.f64 (neg.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)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (- 1 (* 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 #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 (-.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 (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 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) #s(approx (+ (* (/ (/ (+ 1/2 (/ (* (sqrt 1/2) 1/4) (+ (sqrt 1/2) 1))) (+ (sqrt 1/2) 1)) x) -1) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) x x))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 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))) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) #s(approx (* (* (+ (* -13/128 (* x x)) 1/8) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 13/128 binary64)) (pow.f64 x #s(literal 4 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))))))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (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 -1/16 binary64) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 x x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))))))))

Outputs

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

(/.f64 (-.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 (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:

5.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) 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
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)

regimes18.0ms (0.2%)

Memory

33.6MiB live, 33.6MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.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 (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal 11/128 binary64) (*.f64 (neg.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)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (- 1 (* 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 #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)))

Outputs

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

(/.f64 #s(approx (- 1 (* 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)))

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	(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)

regimes19.0ms (0.3%)

Memory

-21.3MiB live, 23.8MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.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 (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal 11/128 binary64) (*.f64 (neg.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)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))

Outputs

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

Calls

7 calls:

7.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
2.0ms	x
2.0ms	(/.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 1/2 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	`(/.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	`(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)

regimes11.0ms (0.2%)

Memory

32.1MiB live, 32.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.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 (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Outputs

#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (*.f64 (*.f64 (fma.f64 #s(literal -13/128 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)))))) #s(literal 1/2 binary64))))

Calls

7 calls:

2.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(hypot.f64 #s(literal 1 binary64) 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) (/.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)

regimes13.0ms (0.2%)

Memory

-20.9MiB live, 22.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (*.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 (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (*.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:

1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) 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	(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
98.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.6%	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)))))`
98.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.6%	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))))))`
98.6%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	x
1.0ms	(hypot.f64 #s(literal 1 binary64) 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	(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
47.5%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
47.5%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
47.5%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
47.5%	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)))))`
47.5%	1	`(hypot.f64 #s(literal 1 binary64) x)`
47.5%	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))))))`
47.5%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch23.0ms (0.3%)

Memory

-22.4MiB live, 30.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.336615640060729e-7	328612.0637198716

Samples

11.0ms

160×

valid

Compiler

Compiled 940 to 443 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-hypot: 3.0ms (39.4% of total)

ival-div: 1.0ms (13.1% of total)

ival-add: 1.0ms (13.1% of total)

ival-mult: 1.0ms (13.1% of total)

ival-sub: 1.0ms (13.1% of total)

ival-sqrt: 1.0ms (13.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.336615640060729e-7	328612.0637198716

Compiler

Compiled 860 to 433 computations (49.7% saved)

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.336615640060729e-7	328612.0637198716

Compiler

Compiled 670 to 403 computations (39.9% saved)

bsearch5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	5.336615640060729e-7	328612.0637198716

Samples

2.0ms

32×

valid

Compiler

Compiled 550 to 413 computations (24.9% saved)

Precisions

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

ival-hypot: 1.0ms (64.9% of total)

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

ival-add: 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)

bsearch8.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	5.336615640060729e-7	328612.0637198716

Samples

4.0ms

64×

valid

Compiler

Compiled 500 to 383 computations (23.4% saved)

Precisions

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

ival-hypot: 1.0ms (33% of total)

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

ival-add: 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)

simplify53.0ms (0.7%)

Memory

-31.2MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	359
1	108	333
2	213	333
3	436	333
4	1237	333
5	5673	333

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 1261007895663739/1125899906842624 binary64)) #s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 (neg.f64 x) x) #s(literal 1/8 binary64)) x) x)) (/.f64 (-.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 (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 1261007895663739/1125899906842624 binary64)) #s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 (neg.f64 x) x) #s(literal 1/8 binary64)) x) x)) (/.f64 #s(approx (- 1 ( 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))))
(if (<=.f64 x #s(literal 1261007895663739/1125899906842624 binary64)) #s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 (neg.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)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 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)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.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 (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Outputs
(if (<=.f64 x #s(literal 1261007895663739/1125899906842624 binary64)) #s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 (neg.f64 x) x) #s(literal 1/8 binary64)) x) x)) (/.f64 (-.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 (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 1261007895663739/1125899906842624 binary64)) #s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 (neg.f64 x) x) #s(literal 1/8 binary64)) x) x)) (/.f64 #s(approx (- 1 ( 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))))
(if (<=.f64 x #s(literal 1261007895663739/1125899906842624 binary64)) #s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 (neg.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)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 (.f64 (fma.f64 #s(literal -13/128 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)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.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 (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

soundness971.0ms (13.3%)

Memory

3.5MiB live, 684.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	229
0	60	205
1	242	205
2	1745	205
0	9350	193
0	206	845
1	633	767
2	1960	714
3	7820	714
0	8462	676
0	71	502
0	105	375
1	458	340
2	3119	308
0	9947	294
0	474	4095
1	1635	3798
2	6877	3684
0	8324	3437
0	488	3592
1	1666	3378
2	6455	3311
0	8551	3086
0	9	43
0	18	33
1	82	33
2	609	33
3	6358	33
0	8243	30

Stop Event

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

Compiler

Compiled 795 to 322 computations (59.5% saved)

preprocess46.0ms (0.6%)

Memory: 25.7MiB live, 71.2MiB allocated
Compiler: Compiled 998 to 214 computations (78.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10

start0.0ms (0%)

analyze0.0ms (0%)

sample2.8s (37.7%)

explain184.0ms (2.5%)

preprocess15.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize58.0ms (0.8%)

series5.0ms (0.1%)

simplify194.0ms (2.6%)

rewrite240.0ms (3.3%)

eval42.0ms (0.6%)

prune8.0ms (0.1%)

simplify126.0ms (1.7%)

localize179.0ms (2.4%)

series45.0ms (0.6%)

simplify177.0ms (2.4%)

rewrite213.0ms (2.9%)

eval70.0ms (0.9%)

prune14.0ms (0.2%)

simplify129.0ms (1.8%)

localize136.0ms (1.9%)

series17.0ms (0.2%)

simplify208.0ms (2.8%)

rewrite203.0ms (2.8%)

eval71.0ms (1%)

prune17.0ms (0.2%)

simplify101.0ms (1.4%)

localize318.0ms (4.3%)

series21.0ms (0.3%)

simplify201.0ms (2.7%)

rewrite241.0ms (3.3%)

eval82.0ms (1.1%)

prune24.0ms (0.3%)

regimes39.0ms (0.5%)

regimes18.0ms (0.2%)

regimes19.0ms (0.3%)

regimes11.0ms (0.2%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch23.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch5.0ms (0.1%)

bsearch8.0ms (0.1%)

simplify53.0ms (0.7%)

soundness971.0ms (13.3%)

preprocess46.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10