Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.9s (23.6%)

Memory

89.5MiB live, 2 347.6MiB allocated; 305ms collecting garbage

Samples

947.0ms	2 959×	2	valid
343.0ms	4 132×	0	valid
232.0ms	1 165×	1	valid

Precisions

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

ival-hypot: 432.0ms (34.1% of total)

adjust: 200.0ms (15.8% of total)

ival-div: 174.0ms (13.7% of total)

ival-mult: 129.0ms (10.2% of total)

ival-sqrt: 125.0ms (9.9% of total)

ival-add: 106.0ms (8.4% of total)

ival-sub: 85.0ms (6.7% of total)

exact: 8.0ms (0.6% of total)

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

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

Bogosity

explain233.0ms (2.9%)

Memory

-9.1MiB live, 184.9MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
56	-	-	`(-.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	56	0

Confusion

	Predicted +	Predicted -
+	56	0
-	0	200

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	56	0	0
-	0	0	200

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	200
1	56

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

106.0ms	210×	2	valid
19.0ms	252×	0	valid
9.0ms	50×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-hypot: 45.0ms (46.1% of total)

adjust: 20.0ms (20.5% of total)

ival-div: 7.0ms (7.2% of total)

ival-sqrt: 7.0ms (7.2% of total)

ival-mult: 6.0ms (6.1% of total)

ival-sub: 5.0ms (5.1% of total)

ival-add: 5.0ms (5.1% of total)

exact: 1.0ms (1% of total)

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

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

preprocess36.0ms (0.4%)

Memory

-30.5MiB live, 15.2MiB allocated; 3ms collecting garbage

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.7%	(-.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

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

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

localize110.0ms (1.4%)

Memory

-27.7MiB live, 47.4MiB allocated; 68ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	0.01953125	(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	12.96641555309416	(-.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

88.0ms	105×	2	valid
10.0ms	126×	0	valid
4.0ms	25×	1	valid

Compiler

Compiled 81 to 11 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-div: 61.0ms (67.7% of total)

ival-hypot: 11.0ms (12.2% of total)

adjust: 6.0ms (6.7% of total)

ival-sqrt: 4.0ms (4.4% of total)

ival-mult: 3.0ms (3.3% of total)

ival-sub: 2.0ms (2.2% of total)

ival-add: 2.0ms (2.2% 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

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

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)))))

simplify164.0ms (2%)

Memory

26.5MiB live, 118.8MiB allocated; 11ms collecting garbage

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))

rewrite244.0ms (3%)

Memory

-2.9MiB live, 184.1MiB allocated; 21ms collecting garbage

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)))
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(*.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 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)))))
(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)))
(cosh.f64 (atanh.f64 (exp.f64 (log.f64 x))))
(cosh.f64 (atanh.f64 (neg.f64 x)))
(cosh.f64 (atanh.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)))))

eval48.0ms (0.6%)

Memory: -9.9MiB live, 35.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 8 248 to 1 577 computations (80.9% saved)

prune12.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	325	9	334
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	326	9	335

Accuracy

80.0%

Counts

335 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.3%	(/.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))))))))
▶	79.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
▶	31.3%	(-.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)))))
	49.6%	(-.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)))))
	32.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
▶	50.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	31.3%	(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
▶	49.4%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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)))))

Compiler

Compiled 460 to 286 computations (37.8% saved)

simplify200.0ms (2.5%)

Memory

-10.5MiB live, 128.3MiB allocated; 19ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
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 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
cost-diff	0	(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))))
cost-diff	0	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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)))))
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 1/2 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))))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #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))))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
cost-diff	2	(*.f64 #s(literal 1/2 binary64) (+.f64 #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)))))
cost-diff	10	(/.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)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	394
0	85	394
1	141	339
2	265	324
3	552	324
4	1572	324
5	7085	324
0	8109	324

Stop Event

1×	iter limit
1×	node limit
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 (/.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)))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #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 1/2 binary64) (+.f64 #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)))))
#s(literal 1/2 binary64)
(+.f64 #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 (/.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) (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))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/4 binary64)
(-.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)))))) (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)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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)))))
(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))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 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 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 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)
#s(literal 3/2 binary64)
(-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

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

localize500.0ms (6.2%)

Memory

27.9MiB live, 690.5MiB allocated; 137ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
accuracy	0.0078125	(-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
accuracy	0.0078125	(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
accuracy	12.486513171258311	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
accuracy	0.0078125	(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))))
accuracy	0.20703125	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	0.5078125	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	31.884943312144635	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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)))))
accuracy	0.0	(*.f64 x x)
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	0.0078125	(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	12.48594680309416	(-.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	0.0078125	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	12.48594680309416	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
accuracy	26.406249999988262	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.0078125	(/.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)))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
accuracy	0.0078125	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #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))))))
accuracy	12.48594680309416	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))

Samples

362.0ms	105×	2	valid
72.0ms	126×	0	invalid
24.0ms	25×	1	valid

Compiler

Compiled 456 to 44 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

ival-pow: 223.0ms (58.9% of total)

adjust: 39.0ms (10.3% of total)

ival-mult: 33.0ms (8.7% of total)

ival-div: 23.0ms (6.1% of total)

ival-add: 21.0ms (5.5% of total)

ival-sqrt: 12.0ms (3.2% of total)

ival-hypot: 11.0ms (2.9% of total)

ival-sub: 11.0ms (2.9% of total)

ival-cosh: 4.0ms (1.1% of total)

ival-atanh: 2.0ms (0.5% of total)

exact: 1.0ms (0.3% of total)

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

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

series72.0ms (0.9%)

Memory

-16.7MiB live, 116.6MiB allocated; 39ms collecting garbage

Counts

24 → 120

Calls

Call 1

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

Outputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* -1/4 (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))))))))
(* -1/2 (/ (sqrt 1/2) x))
(/ (+ (* -1/2 (sqrt 1/2)) (* x (- 1 (sqrt 1/2)))) x)
(/ (sqrt 1/2) x)
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -21/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 141/1024 (pow x 2)) 21/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 141/1024 (* -5005/32768 (pow x 2)))) 21/128))))
(* (pow x 2) (+ 1/8 (* -15/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 83/1024 (pow x 2)) 15/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 83/1024 (* -2703/32768 (pow x 2)))) 15/128))))
(* 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 (* (pow x 2) (- (* 5/32 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -15/128 (pow x 2)))) 1/4)))
(pow x 2)
(+ 1 (* -3/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 13/128 (pow x 2)) 3/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/128 (* -229/1024 (pow x 2)))) 3/8)))
(+ 1 (* 3/8 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/8 (* 39/128 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 3/8 (* (pow x 2) (+ 39/128 (* 275/1024 (pow x 2)))))))
(/ 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 (* 1/2 (/ 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)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* 1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))
(- (+ (* -1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (* x (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (+ (* 1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (* 1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))) (* 1/4 (* (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* x (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2))) (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))
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Calls

3 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	((/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (- 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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (/ 1 (pow (+ (* x x) 1) 1/4)) (* x x) (- 1 (sqrt 1/2)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2))) (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2))
21.0ms	x	@	inf	((/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (- 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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (/ 1 (pow (+ (* x x) 1) 1/4)) (* x x) (- 1 (sqrt 1/2)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2))) (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2))
14.0ms	x	@	0	((/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (- 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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (/ 1 (pow (+ (* x x) 1) 1/4)) (* x x) (- 1 (sqrt 1/2)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2))) (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2))

Time

Variable

Point

Expression

22.0ms

-inf

((/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (- 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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (/ 1 (pow (+ (* x x) 1) 1/4)) (* x x) (- 1 (sqrt 1/2)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2))) (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2))

21.0ms

inf

((/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (- 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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (/ 1 (pow (+ (* x x) 1) 1/4)) (* x x) (- 1 (sqrt 1/2)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2))) (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2))

14.0ms

((/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (- 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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) (/ 1 (pow (+ (* x x) 1) 1/4)) (* x x) (- 1 (sqrt 1/2)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2))) (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2))

simplify210.0ms (2.6%)

Memory

-6.0MiB live, 339.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	823	14371
1	2873	13732
0	8148	12790

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* -1/4 (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))))))))
(* -1/2 (/ (sqrt 1/2) x))
(/ (+ (* -1/2 (sqrt 1/2)) (* x (- 1 (sqrt 1/2)))) x)
(/ (sqrt 1/2) x)
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -21/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 141/1024 (pow x 2)) 21/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 141/1024 (* -5005/32768 (pow x 2)))) 21/128))))
(* (pow x 2) (+ 1/8 (* -15/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 83/1024 (pow x 2)) 15/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 83/1024 (* -2703/32768 (pow x 2)))) 15/128))))
(* 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 (* (pow x 2) (- (* 5/32 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -15/128 (pow x 2)))) 1/4)))
(pow x 2)
(+ 1 (* -3/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 13/128 (pow x 2)) 3/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/128 (* -229/1024 (pow x 2)))) 3/8)))
(+ 1 (* 3/8 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/8 (* 39/128 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 3/8 (* (pow x 2) (+ 39/128 (* 275/1024 (pow x 2)))))))
(/ 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 (* 1/2 (/ 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)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* 1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))
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Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
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binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (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) #s(literal 1/2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (.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 (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) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 (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) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (pow.f64 (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) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (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) #s(literal 1/2 binary64))) (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 (.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)))) (pow.f64 (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) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (.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)))) (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) #s(literal 1/2 binary64))) #s(literal 1/2 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)) #s(literal 1/16 binary64))) (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) #s(literal 1/2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (*.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 (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) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 (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) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (neg.f64 x))) x))

rewrite204.0ms (2.5%)

Memory

9.5MiB live, 298.3MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	312
0	85	288
1	365	248
2	2905	247
0	9587	235

Stop Event

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

Counts

24 → 488

Calls

Call 1

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

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

eval105.0ms (1.3%)

Memory: -0.8MiB live, 185.0MiB allocated; 24ms collecting garbage
Compiler: Compiled 34 153 to 3 312 computations (90.3% saved)

prune34.0ms (0.4%)

Memory

-4.0MiB live, 43.5MiB allocated; 1ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	647	7	654
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	654	9	663

Accuracy

99.8%

Counts

663 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.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)))
▶	49.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	50.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	50.6%	(.f64 (/.f64 #s(approx (- 1/2 (/ 1/2 (sqrt (+ ( 1 1) (* x x))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
	50.6%	(.f64 #s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ ( 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (.f64 (fma.f64 #s(literal -15/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
▶	50.2%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	49.4%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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)))))
▶	50.9%	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
▶	52.5%	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Compiler

Compiled 653 to 377 computations (42.3% saved)

simplify140.0ms (1.7%)

Memory

24.0MiB live, 170.5MiB allocated; 24ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
cost-diff	0	(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
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	(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.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 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 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))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	387
0	78	387
1	143	343
2	294	340
3	699	340
4	2178	340
5	7834	340
0	8281	322

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))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal -21/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.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 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.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 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)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.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))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal -21/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.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 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.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 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 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #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)))
(-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #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(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #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))
(+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #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)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.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)) x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize631.0ms (7.8%)

Memory

-10.6MiB live, 803.2MiB allocated; 196ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0.0078125	(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.20703125	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	31.884943312144635	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
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	0.0078125	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	12.486513171258311	(-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	26.406249999988262	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.0	(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
accuracy	0.0078125	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
accuracy	12.48594680309416	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
accuracy	30.887263168245294	#s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
accuracy	0.0	(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
accuracy	0.00390625	(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal 1/8 binary64) (.f64 x x))
accuracy	0.15278887933828816	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Samples

490.0ms	105×	2	valid
56.0ms	126×	0	invalid
28.0ms	25×	1	valid

Compiler

Compiled 354 to 53 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 529.0ms

ival-pow: 286.0ms (54.1% of total)

adjust: 68.0ms (12.9% of total)

ival-mult: 41.0ms (7.8% of total)

ival-add: 38.0ms (7.2% of total)

ival-sub: 32.0ms (6% of total)

ival-div: 27.0ms (5.1% of total)

ival-hypot: 15.0ms (2.8% of total)

ival-sqrt: 15.0ms (2.8% of total)

ival-cosh: 4.0ms (0.8% of total)

ival-atanh: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series27.0ms (0.3%)

Memory

-2.8MiB live, 87.8MiB allocated; 7ms collecting garbage

Counts

19 → 87

Calls

Call 1

Inputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.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))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.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 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))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #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 (* -21/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 141/1024 (pow x 2)) 21/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 141/1024 (* -5005/32768 (pow x 2)))) 21/128))))
(pow x 2)
1/8
(+ 1/8 (* -21/128 (pow x 2)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 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)
(* 1/4 (/ (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 (* (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 (/ (sqrt 1/2) x))
(/ (+ (* -1/2 (sqrt 1/2)) (* 1/2 (/ x (+ 1 (sqrt 1/2))))) x)
(/ (sqrt 1/2) x)
(* 1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))
(- (+ (* -1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (* x (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (+ (* 1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (* 1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))) (* 1/4 (* (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* x (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2))) (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))
(- (+ (* -1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* (pow x 2) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (+ (* -1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (* x (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (+ (* -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) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (* 1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))))) (+ (* 1/4 (* (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* x (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2))) (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (+ (* 1/4 (* (/ (* (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (+ (* 1/8 (* (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))))) (* (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/16 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* 1/2 (* (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))))))))) (* 1/4 (/ (pow (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) 2) (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (* (pow x 2) (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2))) (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (* 1/2 (* (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (- (+ (* -1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (* 1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (* 1/4 (* (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2)))))) (* (pow x 2) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))))
(- (+ (* -1/2 (/ (+ 1/4 (* 1/2 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (* 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) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (+ (* -1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* (pow x 2) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (+ (* -1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (* x (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (+ (* -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 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-1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2)))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))))) x)) (+ (* -1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (* 1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))) (* 1/4 (* (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))) (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2))))) x)) (* 1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))
(- (+ 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)))
(+ (* 1/4 (/ (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))))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

inf

((* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* 1/8 (* x x)) (* x x) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* (+ (* -21/128 (* x x)) 1/8) (* x x)) (+ (* -21/128 (* x x)) 1/8) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+ (/ 1/2 x) 1/2) (/ (- 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (sqrt 1/2) x) (sqrt 1/2) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))

5.0ms

-inf

((* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* 1/8 (* x x)) (* x x) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* (+ (* -21/128 (* x x)) 1/8) (* x x)) (+ (* -21/128 (* x x)) 1/8) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+ (/ 1/2 x) 1/2) (/ (- 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (sqrt 1/2) x) (sqrt 1/2) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))

5.0ms

((* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* 1/8 (* x x)) (* x x) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* (+ (* -21/128 (* x x)) 1/8) (* x x)) (+ (* -21/128 (* x x)) 1/8) (- 1 (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))))) (sqrt (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4))))) (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+ (/ 1/2 x) 1/2) (/ (- 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 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (sqrt 1/2) x) (sqrt 1/2) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))

simplify221.0ms (2.7%)

Memory

25.0MiB live, 314.7MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	650	8667
1	2286	8017
0	8746	7477

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 87

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -21/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 141/1024 (pow x 2)) 21/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 141/1024 (* -5005/32768 (pow x 2)))) 21/128))))
(pow x 2)
1/8
(+ 1/8 (* -21/128 (pow x 2)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))
1
(+ 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)
(* 1/4 (/ (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)))))))
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(* (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/16 (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2)) (* 1/2 (* (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))))))))) (* 1/4 (/ (pow (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))) 2) (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))))) x)) (+ (* -1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (* -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)))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))))) (+ (* 1/4 (* (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) (/ (* (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (+ (* 1/8 (* (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))))) (* (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/16 (pow (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))) 2)) (* 1/2 (* (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))))))))) (* 1/4 (/ (pow (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))) 2) (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2)))) (* 1/2 (* (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))) (- (+ (* -1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (* 1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (* 1/4 (* (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))) (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2)))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))))) x)) (+ (* -1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (* 1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))) (* 1/4 (* (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))) (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2))))) x)) (* 1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))
(- (+ 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)))
(+ (* 1/4 (/ (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))))

Outputs
(* 1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (* -21/128 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 141/1024 (pow x 2)) 21/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 141/1024 binary64) (.f64 x x)) #s(literal 21/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 141/1024 (* -5005/32768 (pow x 2)))) 21/128))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5005/32768 binary64) (.f64 x x) #s(literal 141/1024 binary64)) x) x) #s(literal 21/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(pow x 2)
(*.f64 x x)
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -21/128 (pow x 2)))
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(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))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x) (.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)
(* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))
(/.f64 (.f64 (.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)))
(* (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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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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(+ 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))

rewrite205.0ms (2.5%)

Memory

-13.7MiB live, 266.4MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	357
0	78	316
1	385	252
2	3035	252
0	10026	237

Stop Event

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

Counts

19 → 285

Calls

Call 1

Inputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.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))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.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 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))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #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))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 1/8 binary64) x) x)
(.f64 (.f64 #s(literal 1/8 binary64) (neg.f64 x)) (neg.f64 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) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (fabs.f64 (.f64 (neg.f64 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))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -21/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -9261/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (.f64 x x)) (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -21/1024 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64))) (-.f64 (.f64 #s(literal -21/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -9261/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64))) (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -21/1024 binary64)))))
(fma.f64 (.f64 #s(literal 1/8 binary64) x) x (.f64 (.f64 #s(literal -21/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1/8 binary64) x) x (.f64 (.f64 x x) (.f64 #s(literal -21/128 binary64) (*.f64 x x))))
(fma.f64 (.f64 #s(literal 1/8 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (.f64 #s(literal -21/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1/8 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (.f64 x x) (.f64 #s(literal -21/128 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal -21/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 #s(literal -21/128 binary64) (*.f64 x x))))
(fma.f64 (.f64 #s(literal -21/128 binary64) (.f64 x x)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal -21/128 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -21/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 #s(literal -21/128 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 #s(literal -21/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal -21/128 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 #s(literal -21/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 x (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal -21/128 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal -21/128 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 #s(literal -21/128 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal -21/128 binary64) (.f64 x x)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 #s(literal -21/128 binary64) (.f64 x x))))
(/.f64 (fma.f64 (.f64 #s(literal -9261/2097152 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -21/1024 binary64)))) (.f64 (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -21/1024 binary64)))) #s(literal 1/512 binary64))) (.f64 (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -21/1024 binary64)))) (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -21/1024 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -21/128 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -21/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -9261/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -21/1024 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)) (-.f64 (.f64 #s(literal -21/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (fma.f64 #s(literal -9261/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -21/1024 binary64)))))
(/.f64 (fma.f64 #s(literal -9261/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -21/1024 binary64)))))
(fma.f64 (*.f64 #s(literal -21/128 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -21/128 binary64) x) x #s(literal 1/8 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -21/128 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64))
(fma.f64 x (*.f64 #s(literal -21/128 binary64) x) #s(literal 1/8 binary64))
(-.f64 (/.f64 (.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -21/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal -21/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (.f64 #s(literal -21/128 binary64) x)) x))
(-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -21/128 binary64)))
(-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 21/128 binary64) (.f64 x x)))
(+.f64 (/.f64 (.f64 #s(literal -9261/2097152 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -21/1024 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -21/1024 binary64))))))
(+.f64 (.f64 #s(literal -21/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -21/128 binary64) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) (neg.f64 (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.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 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(-.f64 (pow.f64 (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) x))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 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)))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (pow.f64 #s(approx ( 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx ( 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 #s(approx ( 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #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 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)))))
(fabs.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) #s(literal 1/2 binary64))))))

eval149.0ms (1.8%)

Memory: 12.1MiB live, 202.9MiB allocated; 74ms collecting garbage
Compiler: Compiled 30 783 to 1 951 computations (93.7% saved)

prune38.0ms (0.5%)

Memory

9.0MiB live, 63.8MiB allocated; 10ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	445	4	449
Fresh	2	0	2
Picked	1	4	5
Done	0	2	2
Total	448	10	458

Accuracy

100.0%

Counts

458 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	50.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	50.8%	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	51.1%	#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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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)))
✓	50.2%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	49.4%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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)))))
✓	50.9%	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
▶	49.0%	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
▶	50.9%	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	52.5%	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Compiler

Compiled 449 to 240 computations (46.5% saved)

simplify144.0ms (1.8%)

Memory

-23.8MiB live, 208.3MiB allocated; 26ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #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)) (/.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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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))))
cost-diff	3	(fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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	(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
cost-diff	0	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
cost-diff	2	(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -21/128 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))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	464
0	88	458
1	172	446
2	483	442
3	2006	436
0	8249	417

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))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal -21/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal -21/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(literal 2 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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal -1/16 binary64)
(pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 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)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(literal 1/2 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)))
#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)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#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 binary64)

Outputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64))
#s(literal -21/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) x) x))
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) x) x)
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64))
#s(literal -21/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 x x)
(*.f64 (log.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 x))
(log.f64 x)
#s(literal 2 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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 x (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 x (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 x (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 (fma.f64 (/.f64 #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal -1/16 binary64)
(pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 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))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(literal 1/2 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 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 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)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 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)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#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 binary64)

localize367.0ms (4.5%)

Memory

40.4MiB live, 460.6MiB allocated; 93ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	31.23002877516272	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.0	(sqrt.f64 #s(literal 2 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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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	(log.f64 x)
accuracy	0.0	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
accuracy	0.00390625	(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
accuracy	1.2524028049661022	(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy	0.0	(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
accuracy	0.00390625	(.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)

Samples

163.0ms	105×	2	valid
118.0ms	126×	0	invalid
28.0ms	25×	1	valid

Compiler

Compiled 432 to 60 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-hypot: 78.0ms (30.5% of total)

adjust: 48.0ms (18.8% of total)

ival-mult: 37.0ms (14.5% of total)

ival-div: 24.0ms (9.4% of total)

ival-add: 19.0ms (7.4% of total)

ival-sqrt: 11.0ms (4.3% of total)

ival-log: 10.0ms (3.9% of total)

ival-sub: 7.0ms (2.7% of total)

ival-pow: 7.0ms (2.7% of total)

ival-exp: 4.0ms (1.6% of total)

ival-cosh: 4.0ms (1.6% of total)

ival-pow2: 4.0ms (1.6% of total)

ival-atanh: 2.0ms (0.8% 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)

series85.0ms (1.1%)

Memory

-4.4MiB live, 140.3MiB allocated; 32ms collecting garbage

Counts

19 → 44

Calls

Call 1

Inputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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))))
#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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 x x)
(log.f64 x)
(neg.f64 x)
(sqrt.f64 #s(literal 2 binary64))

Outputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -21/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 141/1024 (pow x 2)) 21/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 141/1024 (* -5005/32768 (pow x 2)))) 21/128))))
(* 1/8 x)
(* x (+ 1/8 (* -21/128 (pow x 2))))
1/8
(+ 1/8 (* -21/128 (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)))))))
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(* -1 (* (pow x 3) (- 21/128 (* 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)))))
(+ (log -1) (* -1 (log (/ -1 x))))

Calls

3 calls:

Time

Variable

Point

Expression

47.0ms

((* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* (* (+ (* -21/128 (* x x)) 1/8) x) x) (* (+ (* -21/128 (* x x)) 1/8) x) (+ (* -21/128 (* x x)) 1/8) (exp (* (log x) 2)) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* (+ (* -21/128 (* x x)) 1/8) (exp (* (log x) 2))) (+ (* (* (neg x) x) (+ (* (/ -1/16 (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2)) (/ (sqrt 1/2) (sqrt 2))) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (+ (* (/ -1/16 (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2)) (/ (sqrt 1/2) (sqrt 2))) (/ 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) (+ (* (/ -1/16 (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2)) (/ (sqrt 1/2) (sqrt 2))) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (* x x)) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (sqrt 1/2) (* x x) (log x) (neg x) (sqrt 2))

20.0ms

-inf

((* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* (* (+ (* -21/128 (* x x)) 1/8) x) x) (* (+ (* -21/128 (* x x)) 1/8) x) (+ (* -21/128 (* x x)) 1/8) (exp (* (log x) 2)) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* (+ (* -21/128 (* x x)) 1/8) (exp (* (log x) 2))) (+ (* (* (neg x) x) (+ (* (/ -1/16 (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2)) (/ (sqrt 1/2) (sqrt 2))) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (+ (* (/ -1/16 (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2)) (/ (sqrt 1/2) (sqrt 2))) (/ 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) (+ (* (/ -1/16 (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2)) (/ (sqrt 1/2) (sqrt 2))) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (* x x)) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (sqrt 1/2) (* x x) (log x) (neg x) (sqrt 2))

12.0ms

inf

((* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* (* (+ (* -21/128 (* x x)) 1/8) x) x) (* (+ (* -21/128 (* x x)) 1/8) x) (+ (* -21/128 (* x x)) 1/8) (exp (* (log x) 2)) (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (* (+ (* -21/128 (* x x)) 1/8) (exp (* (log x) 2))) (+ (* (* (neg x) x) (+ (* (/ -1/16 (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2)) (/ (sqrt 1/2) (sqrt 2))) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (+ (* (/ -1/16 (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2)) (/ (sqrt 1/2) (sqrt 2))) (/ 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) (+ (* (/ -1/16 (pow (+ (* (sqrt 2) (sqrt 1/2)) 1) 2)) (/ (sqrt 1/2) (sqrt 2))) (/ 3/16 (+ (* (sqrt 2) (sqrt 1/2)) 1)))) (/ 1/4 (+ (* (sqrt 2) (sqrt 1/2)) 1))) (* x x)) (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (sqrt 1/2) (* x x) (log x) (neg x) (sqrt 2))

simplify234.0ms (2.9%)

Memory

18.0MiB live, 390.1MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	500	7910
1	1822	7367
0	8449	6836

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -21/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 141/1024 (pow x 2)) 21/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 141/1024 (* -5005/32768 (pow x 2)))) 21/128))))
(* 1/8 x)
(* x (+ 1/8 (* -21/128 (pow x 2))))
1/8
(+ 1/8 (* -21/128 (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)))))))
(log x)
(* -1 x)
(* 1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))
(- (+ (* -1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (* x (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (+ (* 1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (* 1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))) (* 1/4 (* (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* x (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2))) (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))
(- (+ (* -1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* (pow x 2) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (+ (* -1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (* x (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (+ (* -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) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))))) (+ (* 1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (* 1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))))) (+ (* 1/4 (* (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (* x (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2))) (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (+ (* 1/4 (* (/ (* (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (+ (* 1/8 (* (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))))) (* (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/16 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* 1/2 (* (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))))))))) (* 1/4 (/ (pow (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) 2) (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (* (pow x 2) (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2))) (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (* 1/2 (* (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (- (+ (* -1/2 (/ (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (* 1/2 (/ (- 1/2 (* 1/8 (* (sqrt (/ 1 (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))))) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3)))))) (* 1/4 (* (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) (/ (* (+ (* 1/4 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (- 3/2 (sqrt (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1)))))))) (pow (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))) 2)))))) (* (pow x 2) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))) (sqrt (/ 1 (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))))
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(sqrt -1) (/ 1 (sqrt -1))))))) (+ 1 (sqrt (pow (+ 1/2 (* 1/4 (+ (sqrt -1) (/ 1 (sqrt -1))))) 3))))))
(* -1 (* (pow x 3) (- 21/128 (* 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)))))
(+ (log -1) (* -1 (log (/ -1 x))))

Outputs
(* 1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (* -21/128 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 141/1024 (pow x 2)) 21/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 141/1024 binary64) (.f64 x x)) #s(literal 21/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 141/1024 (* -5005/32768 (pow x 2)))) 21/128))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5005/32768 binary64) (.f64 x x) #s(literal 141/1024 binary64)) x) x) #s(literal 21/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (* -21/128 (pow x 2))))
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -21/128 (pow x 2)))
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(pow x 2)
(*.f64 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)))))))
(.f64 (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)))) (.f64 x x))
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binary64))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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 3 binary64))))) (.f64 (.f64 (*.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 (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 2 binary64))) #s(literal 3/4 binary64)) (-.f64 #s(literal 3/2 binary64) (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))))))) (pow.f64 (+.f64 (sqrt.f64 (pow.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 3 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 x)))
(* -1 (* (pow x 3) (- 21/128 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (neg.f64 (-.f64 #s(literal 21/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(+ (* 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))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (+.f64 (/.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 (/ (- (+ (* -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)))))
(fma.f64 (/.f64 (-.f64 (/.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)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (fma.f64 (/.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))) #s(literal 1/4 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 (/.f64 (.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)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.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))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/32 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (neg.f64 x)) (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)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 x)) (fma.f64 (/.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))) #s(literal 1/4 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))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))

rewrite220.0ms (2.7%)

Memory

-37.9MiB live, 342.1MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	381
0	88	242
1	426	206
2	2668	206
0	8738	198

Stop Event

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

Counts

19 → 256

Calls

Call 1

Inputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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))))
#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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 x x)
(log.f64 x)
(neg.f64 x)
(sqrt.f64 #s(literal 2 binary64))

Outputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) x))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)) (.f64 x x)) (-.f64 (.f64 (*.f64 x x) #s(literal -21/128 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -9261/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (.f64 x x)) (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -21/1024 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal -21/128 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -9261/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64))) (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -21/1024 binary64)))))
(fma.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (fma.f64 (.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (fma.f64 (*.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -21/128 binary64)) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 (fma.f64 (.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -21/128 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -21/128 binary64)) (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -21/128 binary64))))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (fma.f64 (.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64))) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (fma.f64 (.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -21/128 binary64)) (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal -21/128 binary64)) (.f64 x x)))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -21/128 binary64))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -21/128 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -21/128 binary64) #s(literal 1/8 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)) x) (-.f64 (.f64 (.f64 x x) #s(literal -21/128 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -9261/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) x) (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -21/1024 binary64)))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal -21/128 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal -9261/2097152 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64))) (fma.f64 #s(literal 441/16384 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -21/1024 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal -21/128 binary64)) x (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal -21/128 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal -21/128 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -21/128 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -21/128 binary64)) x) (.f64 #s(literal 1/8 binary64) x))
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#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
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(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (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 -1/2 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (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))) (pow.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (-.f64 #s(literal 3/2 binary64) (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 (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 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)))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.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 (.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 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(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))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 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 (exp.f64 #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))
(+.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(log.f64 x)
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))

eval62.0ms (0.8%)

Memory: 15.6MiB live, 208.3MiB allocated; 22ms collecting garbage
Compiler: Compiled 29 343 to 1 817 computations (93.8% saved)

prune19.0ms (0.2%)

Memory

9.0MiB live, 55.9MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	353	1	354
Fresh	0	0	0
Picked	2	2	4
Done	0	6	6
Total	355	9	364

Accuracy

100.0%

Counts

364 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	50.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	50.8%	#s(approx (/ (- 1 (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	51.1%	#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) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
✓	50.2%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	49.4%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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)))))
✓	50.9%	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
✓	50.9%	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	52.5%	#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Compiler

Compiled 1 184 to 355 computations (70% saved)

regimes42.0ms (0.5%)

Memory

9.5MiB live, 105.8MiB allocated; 11ms collecting garbage

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 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 (fma.f64 (.f64 (neg.f64 x) x) #s(literal 11/128 binary64) #s(literal 1/8 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 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.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)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.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)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(-.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 (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #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)))))))
#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 #s(literal -1/16 binary64) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 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 #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(approx (/ (- 1/2 (/ 1/2 (sqrt (+ ( 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (.f64 (fma.f64 #s(literal -15/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(approx (- 1/2 (/ 1/2 (sqrt (+ ( 1 1) (* x x))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 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 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

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

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)

regimes26.0ms (0.3%)

Memory

-27.4MiB live, 64.5MiB allocated; 7ms collecting garbage

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 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 (fma.f64 (.f64 (neg.f64 x) x) #s(literal 11/128 binary64) #s(literal 1/8 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 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.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)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ (/ 1 (pow (+ (* x x) 1) 1/4)) (pow (+ (* x x) 1) 1/4)))) (+.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)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (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)))))

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

Calls

7 calls:

6.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
5.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(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
99.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.6%	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)))))`
99.6%	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))))))`
99.6%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes15.0ms (0.2%)

Memory

2.3MiB live, 49.7MiB allocated; 2ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 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 (fma.f64 (.f64 (neg.f64 x) x) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))

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 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes12.0ms (0.2%)

Memory

42.3MiB live, 42.3MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

Outputs

#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (*.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.6%	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)

regimes58.0ms (0.7%)

Memory

-43.9MiB live, 24.4MiB allocated; 79ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Outputs

#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (*.f64 (*.f64 (fma.f64 #s(literal -21/128 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:

49.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
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 1/2 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	`(hypot.f64 #s(literal 1 binary64) x)`
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	`(-.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)

regimes16.0ms (0.2%)

Memory

-21.8MiB live, 28.7MiB allocated; 6ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))

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

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

Outputs

#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))

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

Calls

7 calls:

7.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	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	(*.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	`(hypot.f64 #s(literal 1 binary64) x)`
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	`(-.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

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))

Outputs

#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))

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
52.5%	1	`(hypot.f64 #s(literal 1 binary64) x)`
52.5%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
52.5%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
52.5%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
52.5%	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)))))`
52.5%	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))))))`
52.5%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch22.0ms (0.3%)

Memory

7.1MiB live, 54.0MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	6.452819082830158e-5	99557912.31740691

Samples

13.0ms

160×

valid

Compiler

Compiled 780 to 463 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-hypot: 4.0ms (44.1% of total)

ival-div: 1.0ms (11% of total)

ival-add: 1.0ms (11% of total)

ival-mult: 1.0ms (11% of total)

ival-sub: 1.0ms (11% of total)

ival-sqrt: 1.0ms (11% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	6.452819082830158e-5	99557912.31740691

Samples

2.0ms

32×

valid

Compiler

Compiled 890 to 453 computations (49.1% saved)

Precisions

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

ival-hypot: 1.0ms (64.2% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Memory

-42.5MiB live, 4.4MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	6.452819082830158e-5	99557912.31740691

Compiler

Compiled 670 to 403 computations (39.9% saved)

bsearch11.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.452819082830158e-5	99557912.31740691

Samples

6.0ms

80×

valid

Compiler

Compiled 780 to 453 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (25.7% of total)

ival-hypot: 1.0ms (25.7% of total)

ival-sqrt: 1.0ms (25.7% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.452819082830158e-5	99557912.31740691

Compiler

Compiled 780 to 463 computations (40.6% saved)

bsearch7.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.452819082830158e-5	99557912.31740691

Samples

3.0ms

48×

valid

Compiler

Compiled 730 to 433 computations (40.7% saved)

Precisions

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

ival-hypot: 1.0ms (43.2% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

simplify61.0ms (0.8%)

Memory

3.1MiB live, 97.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	485
1	121	459
2	243	459
3	519	459
4	1470	459
5	6836	459

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 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) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (.f64 x x))) #s(approx (- 1 (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 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) #s(literal 11/128 binary64) #s(literal 1/8 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 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- 1 (* 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) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 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 3422735716801577/2251799813685248 binary64)) #s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

Outputs
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 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) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (.f64 x x))) #s(approx (- 1 (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 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) #s(literal 11/128 binary64) #s(literal 1/8 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 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- 1 (* 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) #s(literal 11/128 binary64) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (fma.f64 #s(literal -21/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 (.f64 (fma.f64 #s(literal -21/128 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 3422735716801577/2251799813685248 binary64)) #s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (* (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (pow (+ (* (cosh (atanh x)) 1/2) 1/2) 3/2) 1)) (- (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (sqrt (+ (* (cosh (atanh x)) 1/2) 1/2)))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))

derivations1.0s (12.7%)

Memory

-21.7MiB live, 634.8MiB allocated; 101ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	823	14371
1	2873	13732
0	8148	12790
0	61	381
0	88	242
1	426	206
2	2668	206
0	8738	198
0	9	43
0	18	33
1	82	33
2	609	33
3	6358	33
0	8243	30
0	650	8667
1	2286	8017
0	8746	7477
0	50	312
0	85	288
1	365	248
2	2905	247
0	9587	235
0	206	845
1	633	767
2	1960	714
3	7820	714
0	8462	676

Stop Event

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

Compiler

Compiled 527 to 73 computations (86.1% saved)

preprocess98.0ms (1.2%)

Memory: 11.5MiB live, 102.9MiB allocated; 22ms collecting garbage
Compiler: Compiled 1 238 to 234 computations (81.1% saved)

end0.0ms (0%)

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

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%)

sample1.9s (23.6%)

explain233.0ms (2.9%)

preprocess36.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize110.0ms (1.4%)

series5.0ms (0.1%)

simplify164.0ms (2%)

rewrite244.0ms (3%)

eval48.0ms (0.6%)

prune12.0ms (0.1%)

simplify200.0ms (2.5%)

localize500.0ms (6.2%)

series72.0ms (0.9%)

simplify210.0ms (2.6%)

rewrite204.0ms (2.5%)

eval105.0ms (1.3%)

prune34.0ms (0.4%)

simplify140.0ms (1.7%)

localize631.0ms (7.8%)

series27.0ms (0.3%)

simplify221.0ms (2.7%)

rewrite205.0ms (2.5%)

eval149.0ms (1.8%)

prune38.0ms (0.5%)

simplify144.0ms (1.8%)

localize367.0ms (4.5%)

series85.0ms (1.1%)

simplify234.0ms (2.9%)

rewrite220.0ms (2.7%)

eval62.0ms (0.8%)

prune19.0ms (0.2%)

regimes42.0ms (0.5%)

regimes26.0ms (0.3%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes58.0ms (0.7%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch22.0ms (0.3%)

bsearch6.0ms (0.1%)

bsearch35.0ms (0.4%)

bsearch11.0ms (0.1%)

bsearch2.0ms (0%)

bsearch7.0ms (0.1%)

simplify61.0ms (0.8%)

derivations1.0s (12.7%)

preprocess98.0ms (1.2%)

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