Metrics for arccos

start0.0ms (0%)

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

analyze5.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB 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 (55.5%)

Memory

30.3MiB live, 1 333.8MiB allocated; 270ms collecting garbage

Samples

903.0ms	8 256×	0	valid
1.0ms	22×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 393.0ms

ival-atan: 84.0ms (21.4% of total)

ival-sqrt: 79.0ms (20.1% of total)

ival-sub: 66.0ms (16.8% of total)

ival-mult: 57.0ms (14.5% of total)

ival-div: 51.0ms (13% of total)

ival-add: 41.0ms (10.4% of total)

exact: 9.0ms (2.3% of total)

adjust: 3.0ms (0.8% of total)

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

Bogosity

explain178.0ms (8.1%)

Memory

-7.8MiB live, 187.5MiB allocated; 23ms 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

65.0ms

512×

valid

Compiler

Compiled 103 to 31 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-atan: 5.0ms (20.2% of total)

ival-div: 4.0ms (16.2% of total)

ival-mult: 4.0ms (16.2% of total)

ival-sqrt: 4.0ms (16.2% of total)

ival-add: 3.0ms (12.1% of total)

ival-sub: 3.0ms (12.1% of total)

exact: 1.0ms (4% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess263.0ms (11.9%)

Memory

-1.9MiB live, 197.7MiB 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

1.1MiB live, 1.1MiB 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)

series5.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

9 → 34

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
#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 (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#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 (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#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)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite85.0ms (3.9%)

Memory

-22.7MiB live, 120.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	685
0	161	587
0	953	578

Stop Event

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

Counts

43 → 54

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)
#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 (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#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 (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#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)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

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

eval7.0ms (0.3%)

Memory: 18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 063 to 280 computations (73.7% saved)

prune18.0ms (0.8%)

Memory

-4.3MiB live, 42.1MiB allocated; 2ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Accuracy

100.0%

Counts

58 → 2

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

▶

100.0%

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

Compiler

Compiled 41 to 27 computations (34.1% saved)

series14.0ms (0.7%)

Memory

-10.8MiB live, 36.5MiB allocated; 2ms collecting garbage

Counts

22 → 91

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) (atan (sqrt (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) (sqrt (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (- 1 (* (* x x) x)) (* (* x x) x) (+ 1 (+ (* x x) (* 1 x))) (+ (* x x) (* 1 x)) (* 1 x))
5.0ms	x	@	inf	((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) (atan (sqrt (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) (sqrt (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (- 1 (* (* x x) x)) (* (* x x) x) (+ 1 (+ (* x x) (* 1 x))) (+ (* x x) (* 1 x)) (* 1 x))
3.0ms	x	@	0	((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))))) (atan (sqrt (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)))) (sqrt (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x))) (/ (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (+ 1 x)) (/ (- 1 (* (* x x) x)) (+ 1 (+ (* x x) (* 1 x)))) (- 1 (* (* x x) x)) (* (* x x) x) (+ 1 (+ (* x x) (* 1 x))) (+ (* x x) (* 1 x)) (* 1 x))

Time

Variable

Point

Expression

5.0ms

-inf

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

5.0ms

inf

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

3.0ms

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

rewrite89.0ms (4.1%)

Memory

-3.2MiB live, 95.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	2414
0	342	1840
0	1752	1818

Stop Event

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

Counts

113 → 191

Calls

Call 1

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

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

eval29.0ms (1.3%)

Memory: 2.5MiB live, 48.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 741 to 1 123 computations (80.4% saved)

prune153.0ms (6.9%)

Memory

-5.5MiB live, 229.1MiB allocated; 16ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	209	2	211

Accuracy

100.0%

Counts

211 → 2

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

✓

100.0%

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

✓

100.0%

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

Compiler

Compiled 93 to 54 computations (41.9% saved)

regimes7.0ms (0.3%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

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)))))

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

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

Outputs

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

regimes6.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

2 → 1

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)))))

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

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

regimes55.0ms (2.5%)

Memory

-63.8MiB live, 12.7MiB allocated; 95ms 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 (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:

51.0ms	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
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)

simplify34.0ms (1.5%)

Memory

-8.8MiB live, 41.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	50
1	41	50
2	60	50
3	86	50
4	240	50
5	2200	50

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

derivations5.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 50 to 26 computations (48% saved)

preprocess29.0ms (1.3%)

Memory: -0.2MiB live, 86.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 122 to 70 computations (42.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze5.0ms (0.2%)

sample1.2s (55.5%)

explain178.0ms (8.1%)

preprocess263.0ms (11.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.2%)

rewrite85.0ms (3.9%)

eval7.0ms (0.3%)

prune18.0ms (0.8%)

series14.0ms (0.7%)

rewrite89.0ms (4.1%)

eval29.0ms (1.3%)

prune153.0ms (6.9%)

regimes7.0ms (0.3%)

regimes6.0ms (0.3%)

regimes55.0ms (2.5%)

simplify34.0ms (1.5%)

derivations5.0ms (0.2%)

preprocess29.0ms (1.3%)

end0.0ms (0%)

Profiling