Metrics for arccos

start0.0ms (0%)

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

analyze5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
33.3%	25%	50%	0%	0%	25%	0%	4
60%	37.5%	25%	0%	0%	37.5%	0%	5
77.8%	43.7%	12.5%	0%	0%	43.7%	0%	6
88.2%	46.9%	6.2%	0%	0%	46.9%	0%	7
93.9%	48.4%	3.1%	0%	0%	48.4%	0%	8
96.9%	49.2%	1.6%	0%	0%	49.2%	0%	9
98.4%	49.6%	0.8%	0%	0%	49.6%	0%	10
99.2%	49.8%	0.4%	0%	0%	49.8%	0%	11
99.6%	49.9%	0.2%	0%	0%	49.9%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (27.7%)

Memory

9.3MiB live, 1 005.4MiB allocated; 274ms collecting garbage

Samples

791.0ms	8 256×	0	valid
1.0ms	15×	0	invalid

Precisions

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

ival-sub: 139.0ms (26.3% of total)

ival-div: 102.0ms (19.3% of total)

ival-sqrt: 93.0ms (17.6% of total)

ival-atan: 91.0ms (17.2% of total)

ival-mult: 51.0ms (9.6% of total)

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

exact: 9.0ms (1.7% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain104.0ms (2.5%)

Memory

-28.1MiB live, 114.3MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
-	-	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
-	-	`(+.f64 #s(literal 1 binary64) x)`
-	-	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
-	-	`#s(literal 2 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

49.0ms

512×

valid

Compiler

Compiled 103 to 31 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 12.0ms (34.3% of total)

ival-atan: 10.0ms (28.6% of total)

ival-div: 3.0ms (8.6% of total)

ival-mult: 3.0ms (8.6% of total)

ival-sub: 3.0ms (8.6% of total)

ival-sqrt: 3.0ms (8.6% of total)

exact: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess213.0ms (5%)

Memory

21.4MiB live, 207.6MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	37	37
2	57	37
3	132	33
4	466	33
5	2862	33
0	9	11
0	15	11
1	24	11
2	32	11
3	69	11
4	240	11
5	1395	11
6	6091	11
0	8628	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify143.0ms (3.4%)

Memory

21.9MiB live, 156.8MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	15	44
1	24	44
2	32	44
3	69	44
4	240	44
5	1395	44
6	6091	44
0	8628	44

Stop Event

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

Calls

Call 1

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

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

localize59.0ms (1.4%)

Memory

5.1MiB live, 96.9MiB allocated; 22ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
accuracy	0.0078125	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
accuracy	0.01171875	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
accuracy	0.01171875	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))

Samples

52.0ms

256×

valid

Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 2.0ms (19.5% of total)

ival-mult: 2.0ms (19.5% of total)

ival-atan: 2.0ms (19.5% of total)

ival-sub: 2.0ms (19.5% of total)

ival-sqrt: 2.0ms (19.5% of total)

ival-add: 1.0ms (9.8% 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)

series10.0ms (0.2%)

Memory

-31.6MiB live, 10.3MiB allocated; 10ms collecting garbage

Counts

4 → 24

Calls

Call 1

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

Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))
1.0ms	x	@	inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))
1.0ms	x	@	0	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))

Time

Variable

Point

Expression

8.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify213.0ms (5.1%)

Memory

37.2MiB live, 273.5MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	536
1	331	474
2	1237	446
3	7877	446
0	8137	434

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))

Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(literal 1 binary64))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(literal -1 binary64))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))

rewrite54.0ms (1.3%)

Memory

-25.7MiB live, 73.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	15	35
1	50	35
0	313	35

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 31

Calls

Call 1

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

Outputs
(atan2.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))) (.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))) (-.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (-.f64 (.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))) (.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))))))
(fma.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))))
(+.f64 (.f64 #s(literal 1 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))) (.f64 #s(literal 1 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))))
(+.f64 (.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)) (.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))

eval6.0ms (0.1%)

Memory: 11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 125 to 270 computations (76% saved)

prune5.0ms (0.1%)

Memory

10.4MiB live, 10.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	8	53

Accuracy

100.0%

Counts

53 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))))
	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
▶	99.4%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
▶	99.3%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
▶	99.1%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
▶	98.2%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 251 to 189 computations (24.7% saved)

simplify161.0ms (3.8%)

Memory

10.1MiB live, 234.9MiB allocated; 42ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
cost-diff	0	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
cost-diff	0	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
cost-diff	0	(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
cost-diff	0	(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
cost-diff	0	(atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))))
cost-diff	0	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))))
cost-diff	11	(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	326
0	60	296
1	96	293
2	188	293
3	566	293
4	2230	293
0	8162	293

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (2.1%)

Memory

-26.1MiB live, 165.9MiB allocated; 31ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
accuracy	0.01171875	(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
accuracy	0.4105686045057473	#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
accuracy	0.01171875	(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
accuracy	0.46306559015988985	#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
accuracy	0.01171875	(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x)))
accuracy	0.5915944502327923	#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
accuracy	0.01171875	(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))
accuracy	1.1831413486354485	#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
accuracy	0.0	(.f64 #s(literal 2 binary64) (atan.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))))
accuracy	0.01171875	(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))
accuracy	0.01171875	(atan.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))))
accuracy	0.0234375	(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))

Samples

63.0ms

256×

valid

Compiler

Compiled 262 to 31 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 15.0ms (32.6% of total)

ival-add: 10.0ms (21.8% of total)

ival-pow: 9.0ms (19.6% of total)

ival-atan: 4.0ms (8.7% of total)

ival-div: 3.0ms (6.5% of total)

ival-sub: 3.0ms (6.5% of total)

ival-sqrt: 2.0ms (4.4% of total)

exact: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

series8.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Counts

22 → 81

Calls

Call 1

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

Outputs
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 1))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 1))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -3/16 x))) 1/2)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 1))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (sqrt -1)))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (pow -1 1/4)))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (pow -1 1/4))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4)))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* -3/16 (* (pow -1 1/4) (/ 1 (pow x 3)))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1/2 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (pow -1 1/4) (/ 1 x))) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (pow -1 1/4) (/ 1 x))) (* 1/8 (pow -1 1/4))) x)) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) (pow (/ (- 1 x) (- x -1)) 1/4) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (/ (- 1 x) (- x -1)) (+ (* 1/2 x) -1) (+ (* -1/2 x) 1/2))
2.0ms	x	@	-inf	((* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) (pow (/ (- 1 x) (- x -1)) 1/4) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (/ (- 1 x) (- x -1)) (+ (* 1/2 x) -1) (+ (* -1/2 x) 1/2))
2.0ms	x	@	0	((* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) (pow (/ (- 1 x) (- x -1)) 1/4) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (/ (- 1 x) (- x -1)) (+ (* 1/2 x) -1) (+ (* -1/2 x) 1/2))

Time

Variable

Point

Expression

2.0ms

inf

((* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) (pow (/ (- 1 x) (- x -1)) 1/4) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (/ (- 1 x) (- x -1)) (+ (* 1/2 x) -1) (+ (* -1/2 x) 1/2))

2.0ms

-inf

((* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) (pow (/ (- 1 x) (- x -1)) 1/4) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (/ (- 1 x) (- x -1)) (+ (* 1/2 x) -1) (+ (* -1/2 x) 1/2))

2.0ms

((* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) (pow (/ (- 1 x) (- x -1)) 1/4) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (- 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* 1/2 x) -1) x) 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (/ (- 1 x) (- x -1)) (+ (* 1/2 x) -1) (+ (* -1/2 x) 1/2))

simplify199.0ms (4.7%)

Memory

-15.5MiB live, 222.8MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1744
1	686	1560
2	2446	1509
0	9185	1414

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 81

Calls

Call 1

Inputs
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 1))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 1))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -3/16 x))) 1/2)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 1))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (sqrt -1)))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (pow -1 1/4)))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (pow -1 1/4))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4)))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ (* -1/2 (* (pow -1 1/4) (/ 1 x))) (+ (* -3/16 (* (pow -1 1/4) (/ 1 (pow x 3)))) (+ (* 1/8 (* (pow -1 1/4) (/ 1 (pow x 2)))) (pow -1 1/4))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1/2 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (* 2 (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (pow -1 1/4) (/ 1 x))) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4))))
#s(approx (pow (/ (- 1 x) (- x -1)) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (pow -1 1/4) (/ 1 x))) (* 1/8 (pow -1 1/4))) x)) (* 1/2 (pow -1 1/4))) x)) (pow -1 1/4))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))

Outputs
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 1))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(literal 1 binary64))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
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#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (atan (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (* (pow (/ (- 1 x) (- x -1)) 1/4) (pow (/ (- 1 x) (- x -1)) 1/4)) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) x))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/2 x) 1/2) x) -1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (- x -1)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (- x -1)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (- x -1)) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (+ (* 1/2 x) -1) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))

rewrite28.0ms (0.7%)

Memory

39.1MiB live, 39.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	292
0	60	262
0	196	262

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

22 → 63

Calls

Call 1

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

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

eval26.0ms (0.6%)

Memory: -14.7MiB live, 37.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 529 to 747 computations (83.5% saved)

prune12.0ms (0.3%)

Memory

-26.5MiB live, 19.4MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	164	9	173

Accuracy

100.0%

Counts

173 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	99.4%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
✓	99.3%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
▶	99.1%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))))))
✓	99.1%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
▶	99.1%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
✓	98.2%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 153 to 117 computations (23.5% saved)

simplify115.0ms (2.7%)

Memory

21.8MiB live, 112.7MiB allocated; 12ms collecting garbage

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	304
0	57	304
1	93	304
2	201	304
3	620	304
4	1875	304
0	8255	296

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (2.6%)

Memory

9.0MiB live, 151.7MiB allocated; 12ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
accuracy	0.01171875	(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	0.015625	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.01953125	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
accuracy	0.0078125	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
accuracy	0.01171875	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
accuracy	0.01171875	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))))
accuracy	0.01953125	(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
accuracy	0.0	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))))))
accuracy	0.01171875	(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))))
accuracy	0.01953125	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
accuracy	0.5915944502327923	#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
accuracy	0.0	#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
accuracy	0.01171875	(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
accuracy	0.1953125	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
accuracy	0.5915944502327923	#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))

Samples

91.0ms

256×

valid

Compiler

Compiled 232 to 30 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 21.0ms (41.6% of total)

ival-atan: 8.0ms (15.8% of total)

ival-div: 7.0ms (13.9% of total)

ival-sqrt: 6.0ms (11.9% of total)

ival-sub: 5.0ms (9.9% of total)

ival-add: 2.0ms (4% 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)

series14.0ms (0.3%)

Memory

-3.4MiB live, 40.0MiB allocated; 6ms collecting garbage

Counts

19 → 99

Calls

Call 1

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

Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 1))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 1))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (+ 1 (* x (+ 2 x)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 1))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 -1))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (sqrt -1) x)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* -1 (/ (sqrt -1) (pow x 3))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) (/ 1/2 (* (pow x 3) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ (sqrt -1) x))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

inf

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

3.0ms

-inf

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

3.0ms

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

simplify156.0ms (3.7%)

Memory

-6.0MiB live, 181.9MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	2313
1	964	2112
2	3618	2033
0	8404	1976

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 99

Calls

Call 1

Inputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 1))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 1))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (+ 1 (* x (+ 2 x)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 1))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 -1))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (sqrt -1) x)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* -1 (/ (sqrt -1) (pow x 3))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) (/ 1/2 (* (pow x 3) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ (sqrt -1) x))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 1))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(literal 1 binary64))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 1))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) (.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (-.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 1 binary64))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(literal 1 binary64))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 x) 1) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 1))
#s(approx (* (- x -1) (- x -1)) #s(literal 1 binary64))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (- x -1) (- x -1)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (+ 1 (* x (+ 2 x)))))
#s(approx (* (- x -1) (- x -1)) (fma.f64 (-.f64 x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- x -1)) #s(hole binary64 1))
#s(approx (sqrt (- x -1)) #s(literal 1 binary64))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (neg.f64 x))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 -1))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(literal -1 binary64))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (sqrt -1) x)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* -1 (/ (sqrt -1) (pow x 3))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) (/ 1/2 (* (pow x 3) (sqrt -1))))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (-.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (+.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) (neg.f64 x))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -1) (- x -1)) (*.f64 x x))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (- x -1) (- x -1)) (*.f64 x (fma.f64 x (/.f64 #s(literal 2 binary64) x) x)))
#s(approx (* (- x -1) (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (- x -1) (- x -1)) (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) x)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x -1)) (sqrt.f64 x))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (sqrt (- x -1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (- x -1) (- x -1))) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) (.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ (sqrt -1) x))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x -1)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))) x))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- x -1)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))))) x))

rewrite80.0ms (1.9%)

Memory

-1.7MiB live, 100.3MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	254
0	57	229
1	176	201
0	1312	201

Stop Event

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

Counts

19 → 178

Calls

Call 1

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

Outputs
(atan2.f64 (+.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))))
(.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) (.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))) (-.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))))
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(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 x (/.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(atan2.f64 (+.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))) (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))) (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))))
(*.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))) (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))))) (-.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (-.f64 (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))) (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))))))
(fma.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64) (*.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))))
(+.f64 (.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))))
(+.f64 (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64)) (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64)))
(+.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))))
(atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(atan2.f64 (+.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))) (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))) (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))))
(*.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))) (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))))) (-.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (-.f64 (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))) (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))))))
(fma.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64) (*.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))))
(+.f64 (.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))))
(+.f64 (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64)) (.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64)))
(+.f64 (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))))
(atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (sin.f64 (acos.f64 x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (sin.f64 (acos.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(*.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x))) (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x))))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x)) (fabs.f64 (-.f64 #s(literal -1 binary64) x)))
(*.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sin.f64 (acos.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))

eval61.0ms (1.4%)

Memory: 3.5MiB live, 95.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 6 520 to 1 225 computations (81.2% saved)

prune8.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	244	2	246
Fresh	0	0	0
Picked	2	2	4
Done	0	5	5
Total	246	9	255

Accuracy

100.0%

Counts

255 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	99.4%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
✓	99.3%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
✓	99.1%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))))))
✓	99.1%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
✓	99.1%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
✓	98.2%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
▶	100.0%	(.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64))))))

Compiler

Compiled 173 to 131 computations (24.3% saved)

simplify204.0ms (4.8%)

Memory

-10.9MiB live, 225.4MiB allocated; 44ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	188
0	46	188
1	72	188
2	184	188
3	601	188
4	1706	188
5	7762	188
0	8175	186

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (1.6%)

Memory

36.8MiB live, 123.6MiB allocated; 16ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
accuracy	0.015625	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.01953125	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
accuracy	0.42400684104544134	#s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.0	#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))))
accuracy	0.01171875	(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64))))
accuracy	0.01953125	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))

Samples

53.0ms

256×

valid

Compiler

Compiled 137 to 29 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sqrt: 15.0ms (36.4% of total)

ival-mult: 10.0ms (24.3% of total)

ival-atan: 6.0ms (14.6% of total)

ival-div: 4.0ms (9.7% of total)

ival-sub: 4.0ms (9.7% of total)

ival-add: 2.0ms (4.9% of total)

exact: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

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

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

series17.0ms (0.4%)

Memory

-36.2MiB live, 7.8MiB allocated; 18ms collecting garbage

Counts

10 → 68

Calls

Call 1

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

Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))))
#s(approx (atan (/ (sqrt (- 1 (* x x))) (- x -1))) #s(hole binary64 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 1))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (sqrt -1) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* -1 (/ (sqrt -1) (pow x 3))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) (/ 1/2 (* (pow x 3) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))))
#s(approx (atan (/ (sqrt (- 1 (* x x))) (- x -1))) #s(hole binary64 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ (sqrt -1) x))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify178.0ms (4.2%)

Memory

9.6MiB live, 204.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	343	1730
1	904	1591
2	3504	1525
0	8928	1475

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

Calls

Call 1

Inputs
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))))
#s(approx (atan (/ (sqrt (- 1 (* x x))) (- x -1))) #s(hole binary64 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 1))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (sqrt -1) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* -1 (/ (sqrt -1) (pow x 3))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) (/ 1/2 (* (pow x 3) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))))
#s(approx (atan (/ (sqrt (- 1 (* x x))) (- x -1))) #s(hole binary64 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ (sqrt -1) x))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) (*.f64 (atan.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))))
#s(approx (atan (/ (sqrt (- 1 (* x x))) (- x -1))) #s(hole binary64 (atan (* (/ 1 (+ 1 x)) (sqrt (- 1 (pow x 2)))))))
#s(approx (atan (/ (sqrt (- 1 (* x x))) (- x -1))) (atan.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(literal 1 binary64))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 1))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 1 binary64))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) x #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) x #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (- x -1)) #s(hole binary64 1))
#s(approx (sqrt (- x -1)) #s(literal 1 binary64))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (sqrt -1) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) x)) (+ (* -1 (/ (sqrt -1) (pow x 3))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) (/ 1/2 (* (pow x 3) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) (-.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x))
#s(approx (sqrt (- x -1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x -1)) (sqrt.f64 x))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (sqrt (- x -1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) #s(hole binary64 (* 2 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1)))))) (*.f64 (atan.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) #s(hole binary64 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))))
#s(approx (atan (/ (sqrt (- 1 (* x x))) (- x -1))) #s(hole binary64 (atan (* (/ 1 (- 1 (* -1 x))) (sqrt (- 1 (pow x 2)))))))
#s(approx (atan (/ (sqrt (- 1 (* x x))) (- x -1))) (atan.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ (sqrt -1) x))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) x))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) (- x -1)) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (- x -1))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (- x -1)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (- x -1))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) (.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 (neg.f64 x) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) (sqrt.f64 x))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- x -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))

rewrite114.0ms (2.7%)

Memory

-70.7MiB live, 82.9MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	154
0	46	131
1	148	127
0	1091	127

Stop Event

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

Counts

10 → 55

Calls

Call 1

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

Outputs
(.f64 #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64)))))) (.f64 #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))))) (-.f64 #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) (-.f64 (.f64 #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64)))))) (.f64 #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64)))))))))
(fma.f64 #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64) (.f64 #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) (.f64 #s(literal 1 binary64) #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64)))))))
(+.f64 (.f64 #s(literal 1 binary64) #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64)))))) (.f64 #s(literal 1 binary64) #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64)))))))
(+.f64 (.f64 #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)) (.f64 #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))) #s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64)))))
(atan.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 (acos.f64 x)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (sin.f64 (acos.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (acos.f64 x)))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (sin.f64 (acos.f64 x)) (-.f64 x #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (sin.f64 (acos.f64 x)) (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(atan2.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))))
(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))) (.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))))) (-.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) (-.f64 (.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))) (.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))))))
(fma.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64) (*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))))
(+.f64 (.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))) (.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))))
(+.f64 (.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)) (.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(+.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (sin.f64 (acos.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (neg.f64 x)))
(sin.f64 (acos.f64 (fabs.f64 x)))
(sin.f64 (acos.f64 x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(cos.f64 (neg.f64 (asin.f64 x)))
(cos.f64 (asin.f64 (neg.f64 x)))
(cos.f64 (asin.f64 (fabs.f64 x)))
(cos.f64 (asin.f64 x))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))
#s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

eval14.0ms (0.3%)

Memory: 30.3MiB live, 30.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 373 to 652 computations (85.1% saved)

prune9.0ms (0.2%)

Memory

-30.8MiB live, 15.8MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	0	0	0
Picked	1	1	2
Done	2	5	7
Total	116	9	125

Accuracy

100.0%

Counts

125 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	99.4%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
✓	99.3%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
✓	99.1%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
✓	98.2%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
✓	100.0%	(.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64))))))
	99.4%	(.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 #s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))))))
	99.1%	(.f64 #s(literal 2 binary64) #s(approx (atan (sqrt (/ (- 1 ( x x)) (* (- x -1) (- x -1))))) (atan.f64 (/.f64 #s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))))

Compiler

Compiled 523 to 255 computations (51.2% saved)

regimes17.0ms (0.4%)

Memory

29.5MiB live, 29.5MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes52.0ms (1.2%)

Memory

-23.6MiB live, 22.5MiB allocated; 4ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
3.0ms	x
2.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))

Results

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes11.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes10.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes33.0ms (0.8%)

Memory

-39.2MiB live, 13.8MiB allocated; 6ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
2.0ms	x
1.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
99.1%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
99.1%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
99.1%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
99.1%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
98.2%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
98.2%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
98.2%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify68.0ms (1.6%)

Memory

2.0MiB live, 47.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	145
1	86	145
2	182	145
3	523	145
4	1318	145
5	4187	145

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations312.0ms (7.4%)

Memory

-5.3MiB live, 177.2MiB allocated; 33ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 145 to 58 computations (60% saved)

preprocess54.0ms (1.3%)

Memory: 21.6MiB live, 65.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 312 to 134 computations (57.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.2s (27.7%)

explain104.0ms (2.5%)

preprocess213.0ms (5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify143.0ms (3.4%)

localize59.0ms (1.4%)

series10.0ms (0.2%)

simplify213.0ms (5.1%)

rewrite54.0ms (1.3%)

eval6.0ms (0.1%)

prune5.0ms (0.1%)

simplify161.0ms (3.8%)

localize89.0ms (2.1%)

series8.0ms (0.2%)

simplify199.0ms (4.7%)

rewrite28.0ms (0.7%)

eval26.0ms (0.6%)

prune12.0ms (0.3%)

simplify115.0ms (2.7%)

localize111.0ms (2.6%)

series14.0ms (0.3%)

simplify156.0ms (3.7%)

rewrite80.0ms (1.9%)

eval61.0ms (1.4%)

prune8.0ms (0.2%)

simplify204.0ms (4.8%)

localize68.0ms (1.6%)

series17.0ms (0.4%)

simplify178.0ms (4.2%)

rewrite114.0ms (2.7%)

eval14.0ms (0.3%)

prune9.0ms (0.2%)

regimes17.0ms (0.4%)

regimes52.0ms (1.2%)

regimes11.0ms (0.3%)

regimes10.0ms (0.2%)

regimes33.0ms (0.8%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify68.0ms (1.6%)

derivations312.0ms (7.4%)

preprocess54.0ms (1.3%)

end0.0ms (0%)

Profiling