Metrics for bug333 (missed optimization)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample2.2s (33.6%)

Memory

57.4MiB live, 2 616.6MiB allocated; 481ms collecting garbage

Samples

867.0ms	3 311×	2	valid
839.0ms	4 791×	1	valid
29.0ms	154×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

adjust: 498.0ms (34.6% of total)

ival-sqrt: 418.0ms (29% of total)

ival-sub: 247.0ms (17.2% of total)

ival-add: 152.0ms (10.6% of total)

ival-<=: 99.0ms (6.9% of total)

ival-and: 12.0ms (0.8% of total)

exact: 11.0ms (0.8% of total)

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

Bogosity

explain208.0ms (3.1%)

Memory

-3.6MiB live, 235.1MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	1	(-0.014851096701844386)	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
0	-	0	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) x))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) x))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`	cancellation	255	1

Confusion

	Predicted +	Predicted -
+	255	1
-	0	0

Precision

1.0

Recall

0.99609375

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	1	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	288×	1	valid
43.0ms	206×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-sqrt: 46.0ms (51.8% of total)

adjust: 23.0ms (25.9% of total)

ival-sub: 11.0ms (12.4% of total)

ival-add: 7.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess292.0ms (4.4%)

Memory

-20.2MiB live, 229.7MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	12	23
2	15	23
3	28	23
4	69	19
5	302	19
6	2416	19
7	5875	19
0	7	9
0	12	9
1	15	9
2	18	9
3	31	9
4	70	9
5	285	9
6	2420	9
7	5845	9
0	8084	9

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.1%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify169.0ms (2.6%)

Memory

-12.9MiB live, 118.0MiB allocated; 24ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	12	25
1	15	25
2	18	25
3	31	25
4	70	25
5	285	25
6	2420	25
7	5845	25
0	8084	25

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

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

localize49.0ms (0.7%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	0.01171875	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	57.52682139640039	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Samples

21.0ms	103×	2	valid
18.0ms	144×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

adjust: 11.0ms (37.5% of total)

ival-sqrt: 8.0ms (27.3% of total)

ival-sub: 5.0ms (17.1% of total)

ival-add: 4.0ms (13.7% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

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

Counts

4 → 40

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#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 (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#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)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -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)) (sqrt (- 1 x))) #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))))))) (+ (* -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)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#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)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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)))) (+ (* -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)) (sqrt (- 1 x))) #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))))) (+ (* -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)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x)) #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 (- 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)))))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) (sqrt (- 1 x)))

2.0ms

-inf

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) (sqrt (- 1 x)))

1.0ms

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) (sqrt (- 1 x)))

simplify213.0ms (3.2%)

Memory

-27.1MiB live, 70.6MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1205
1	561	1094
2	2185	1014
0	8336	962

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#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 (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#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)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -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)) (sqrt (- 1 x))) #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))))))) (+ (* -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)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#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)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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)))) (+ (* -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)) (sqrt (- 1 x))) #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))))) (+ (* -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)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x)) #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 (- 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)))))))))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x))
#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 (+ 1/2 (* -1/8 x))))))
#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 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#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) #s(hole binary64 1))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 x) (-.f64 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 (-.f64 (*.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 (-.f64 (*.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)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -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)) (sqrt (- 1 x))) (.f64 (-.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)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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))))))) (+ (* -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)) (sqrt (- 1 x))) (.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.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)))) (*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) x))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) (*.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 (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) (*.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 (+ 1 x)) #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 (+ 1 x)) (*.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))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ 1 x) (-.f64 x #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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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)))) (+ (* -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)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 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) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.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))) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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))))) (+ (* -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)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (-.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)))) (-.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 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) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) (*.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 (+ 1 x)) #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 (+ 1 x)) (*.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 (+ 1 x)) #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 (+ 1 x)) (*.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))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))))
#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)) (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))))))))

rewrite57.0ms (0.9%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	12	20
1	48	20
0	359	20

Stop Event

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

Counts

4 → 39

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))

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

eval8.0ms (0.1%)

Memory: 7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 730 to 334 computations (80.7% saved)

prune6.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	70	7	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	8	78

Accuracy

100.0%

Counts

78 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.3%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	10.3%	(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
✓	10.1%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	9.3%	(-.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))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	100.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x))
	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
	99.6%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
▶	98.4%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 279 to 179 computations (35.8% saved)

simplify183.0ms (2.8%)

Memory

8.5MiB live, 97.7MiB allocated; 11ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
cost-diff	14	(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
cost-diff	4	(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#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)))
cost-diff	0	(-.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))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
cost-diff	0	(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)
cost-diff	0	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	262
0	58	252
1	97	246
2	259	240
3	1176	240
4	4691	240
0	9117	240

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
#s(literal 33/1024 binary64)
(*.f64 x x)
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
x
(-.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))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#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)))
(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)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) 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))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 x #s(literal -1 binary64))
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)
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
#s(literal 33/1024 binary64)
(*.f64 x x)
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
x
(-.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))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#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)))
(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)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))

localize227.0ms (3.4%)

Memory

-10.5MiB live, 227.0MiB allocated; 55ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	0.01953125	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	0.01953125	(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
accuracy	57.470199364874816	(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
accuracy	0.0078125	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	0.01171875	(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	57.428305803819335	(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.48373219773583265	#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)))
accuracy	57.52682139640039	(-.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))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy	1.0035483117992972	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
accuracy	0.0	(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x))

Samples

90.0ms	144×	1	valid
75.0ms	103×	2	valid
2.0ms	9×	0	valid

Compiler

Compiled 238 to 36 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

adjust: 64.0ms (49.8% of total)

ival-sub: 13.0ms (10.1% of total)

ival-sqrt: 13.0ms (10.1% of total)

ival-div: 12.0ms (9.3% of total)

ival-add: 12.0ms (9.3% of total)

ival-mult: 9.0ms (7% of total)

ival-pow: 5.0ms (3.9% of total)

exact: 1.0ms (0.8% of total)

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

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

series32.0ms (0.5%)

Memory

-11.7MiB live, 36.5MiB allocated; 7ms collecting garbage

Counts

20 → 139

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
(-.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))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#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)))
(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))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 x #s(literal -1 binary64)) (+.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))))
(*.f64 x x)
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#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 (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (- (- x -1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 x))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#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 (* -1 x))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 x))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 1/2))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* 1/2 x))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* 1/16 x))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* x (+ 1/16 (* 1/16 x))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 2))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#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) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/2)))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -1/16 x))) 1/2)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -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)) (sqrt (- 1 x))) #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))))))) (+ (* -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 (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #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 (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))))
#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 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 2))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (+ (* -2 (/ (+ (* -1 (/ (* (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 2))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (+ (* -2 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* -1 (/ (* (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* 1/16 (* (sqrt (pow x 5)) (/ 1 (* (pow (sqrt -1) 5) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))))) (pow x 6))) (+ (* -2 (/ (+ (* -1 (/ (* (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 2))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ (/ 1 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 2))) (+ (/ 1 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 3))) (+ (/ 1 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#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) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (/ -1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
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#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (/ 1 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))) (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
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#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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)))) (+ (* -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)) (sqrt (- 1 x))) #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))))) (+ (* -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 (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x)) #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 (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (pow x 6))) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 1/2 (* (sqrt x) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 2))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
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#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (- (* 2 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (+ (* 1/2 (* (sqrt x) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 1/2 (* (sqrt x) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* -1/8 (* (sqrt (pow x 3)) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (* (sqrt x) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 1/2 (* (sqrt x) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* 1/16 (* (sqrt (pow x 5)) (/ 1 (* (pow (sqrt -1) 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 1/16 (* (sqrt (pow x 5)) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))))) (pow x 6))) (+ (* -2 (/ (+ (* -1 (/ (* (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (+ (* 1/2 (* (sqrt x) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 1/2 (* (sqrt x) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* -1/8 (* (sqrt (pow x 3)) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 1/2 (* (sqrt x) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 2))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
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#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* -1 (+ (/ 1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* x (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* -1 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
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#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
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#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
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Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (* x x) (+ (* 33/1024 (* x x)) 7/128) (sqrt (- 1 x)) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))))
9.0ms	x	@	-inf	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (* x x) (+ (* 33/1024 (* x x)) 7/128) (sqrt (- 1 x)) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))))
3.0ms	x	@	0	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (* x x) (+ (* 33/1024 (* x x)) 7/128) (sqrt (- 1 x)) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))))

Time

Variable

Point

Expression

16.0ms

inf

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (* x x) (+ (* 33/1024 (* x x)) 7/128) (sqrt (- 1 x)) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))))

9.0ms

-inf

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (* x x) (+ (* 33/1024 (* x x)) 7/128) (sqrt (- 1 x)) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))))

3.0ms

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (* x x) (+ (* 33/1024 (* x x)) 7/128) (sqrt (- 1 x)) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))))

simplify193.0ms (2.9%)

Memory

25.0MiB live, 240.6MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	702	6891
1	2079	5660
0	8353	5465

Stop Event

1×	iter limit
1×	node limit

Counts

139 → 139

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#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 (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (- (- x -1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 x))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#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 (* -1 x))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 x))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 1/2))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* 1/2 x))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* 1/16 x))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* x (+ 1/16 (* 1/16 x))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 2))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#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) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/2)))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -1/16 x))) 1/2)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -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)) (sqrt (- 1 x))) #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))))))) (+ (* -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 (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #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 (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))))
#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 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 2))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (+ (* -2 (/ (+ (* -1 (/ (* (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 3) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (* (sqrt x) (/ 1 (* (sqrt -1) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 2))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
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#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))))
#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) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (/ 1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* 1/2 (* (sqrt x) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 1/2 (* (sqrt x) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) x)) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) x)
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 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 (+ 1/2 (* -1/8 x))))))
#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 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#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 (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* -1/8 x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (- x -1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 x))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) x)
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (- x -1) (+.f64 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 (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 x))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) x)
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 1/2))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(literal 1/2 binary64))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* 1/2 x))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* 1/16 x))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* x (+ 1/16 (* 1/16 x))))))))
#s(approx (/ (- x -1) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/16 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 2))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 (-.f64 (.f64 #s(literal -5/64 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -21/512 binary64) (.f64 x x)) #s(literal 5/64 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(literal 7/128 binary64))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 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) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/2)))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/2 binary64)) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -1/16 x))) 1/2)))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.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))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -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)) (sqrt (- 1 x))) (.f64 (-.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)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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))))))) (+ (* -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)) (sqrt (- 1 x))) (.f64 (-.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))) (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)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x))
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#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 #s(literal -1/8 binary64) x))
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#s(approx (- x -1) x)
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#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
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#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (fma.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) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 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) (fma.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) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64))) (*.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)))))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (/ 1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* 1/2 (* (sqrt x) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 1/2 (* (sqrt x) (/ (sqrt -1) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) x)) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (- 1 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) (pow.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))

rewrite639.0ms (9.6%)

Memory

-172.6MiB live, 178.4MiB allocated; 817ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	212
0	58	202
1	263	184
0	2453	184

Stop Event

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

Counts

20 → 325

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
(-.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))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#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)))
(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))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 x #s(literal -1 binary64)) (+.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))))
(*.f64 x x)
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) (*.f64 x x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x)
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) (.f64 x x) x)
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x) (*.f64 x x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))) x)
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))) x)
(fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))) x)
(fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))))
(+.f64 (+.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) (.f64 x (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) (.f64 x (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(+.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
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(/.f64 (-.f64 (.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (neg.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.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)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.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)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (+.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 49/16384 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 7/128 binary64) (.f64 (.f64 x x) #s(literal 33/1024 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 2 binary64)) #s(literal 49/16384 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 35937/1073741824 binary64) #s(literal 343/2097152 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (.f64 (*.f64 x x) #s(literal 231/131072 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 35937/1073741824 binary64) #s(literal 343/2097152 binary64)) (+.f64 #s(literal 49/16384 binary64) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 231/131072 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 35937/1073741824 binary64) #s(literal 343/2097152 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (.f64 (*.f64 x x) #s(literal 231/131072 binary64))))
(fma.f64 (*.f64 #s(literal 33/1024 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 7/128 binary64))
(fma.f64 (*.f64 #s(literal 33/1024 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 7/128 binary64))
(fma.f64 (*.f64 #s(literal 33/1024 binary64) x) x #s(literal 7/128 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
(fma.f64 x (*.f64 #s(literal 33/1024 binary64) x) #s(literal 7/128 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))) (/.f64 #s(literal 49/16384 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))))
(-.f64 #s(literal 7/128 binary64) (.f64 (neg.f64 (.f64 #s(literal 33/1024 binary64) x)) x))
(-.f64 #s(literal 7/128 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 33/1024 binary64)))
(-.f64 #s(literal 7/128 binary64) (.f64 #s(literal -33/1024 binary64) (.f64 x x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (.f64 (.f64 x x) #s(literal 231/131072 binary64)))) (/.f64 #s(literal 343/2097152 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (.f64 (.f64 x x) #s(literal 231/131072 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))
(+.f64 #s(literal 7/128 binary64) (.f64 (.f64 x x) #s(literal 33/1024 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 (-.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 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (+.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.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 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))

eval98.0ms (1.5%)

Memory: 13.1MiB live, 103.2MiB allocated; 24ms collecting garbage
Compiler: Compiled 27 974 to 2 544 computations (90.9% saved)

prune14.0ms (0.2%)

Memory

35.6MiB live, 35.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	755	5	760
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	760	8	768

Accuracy

100.0%

Counts

768 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.0%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
▶	9.3%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64)))
✓	10.1%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	9.3%	(-.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))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	9.2%	(-.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 (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
▶	100.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
▶	100.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
✓	98.4%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 293 to 204 computations (30.4% saved)

simplify114.0ms (1.7%)

Memory

-21.6MiB live, 115.1MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
cost-diff	0	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
cost-diff	4	(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#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)))
cost-diff	0	(-.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 (- 1 x)) (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 1 binary64) x)
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64)))
cost-diff	4	(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)
cost-diff	0	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
cost-diff	2	(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
cost-diff	4	(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	384
0	79	382
1	139	362
2	387	352
3	1772	352
4	6554	352
0	8831	348

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(*.f64 x x)
x
#s(literal 33/1024 binary64)
#s(literal 7/128 binary64)
(fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64)))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.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 (- 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)) (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)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#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)))
(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 -1/2 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal -1/4 binary64)
(*.f64 x x)
#s(literal 2 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(*.f64 x x)
x
#s(literal 33/1024 binary64)
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)
(.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x)
(.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
(*.f64 x x)
x
#s(literal 33/1024 binary64)
#s(literal 7/128 binary64)
(fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 x #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64))))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.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 (- 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)) (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)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#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)))
(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 -1/2 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) x) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 2 binary64))))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal -1/4 binary64)
(*.f64 x x)
#s(literal 2 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x)
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) x) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
(*.f64 x x)
x
#s(literal 33/1024 binary64)
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)

localize277.0ms (4.2%)

Memory

24.6MiB live, 360.3MiB allocated; 70ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
accuracy	0.015625	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
accuracy	0.27751551213133047	#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64)))
accuracy	57.428305803819335	(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64))
accuracy	0.4751759721138703	#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)))
accuracy	0.48373219773583265	#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)))
accuracy	57.52682139640039	(-.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 (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64)))
accuracy	1.0246538749793843	#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64))
accuracy	57.428305803819335	(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
accuracy	0.078125	(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x))
accuracy	0.08203125	(.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x)
accuracy	0.09765625	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)

Samples

126.0ms	139×	1	valid
93.0ms	100×	2	valid
11.0ms	9×	0	valid
10.0ms	8×	3	valid

Compiler

Compiled 317 to 49 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

adjust: 106.0ms (55.8% of total)

ival-mult: 22.0ms (11.6% of total)

ival-add: 20.0ms (10.5% of total)

ival-sqrt: 13.0ms (6.8% of total)

ival-pow: 13.0ms (6.8% of total)

ival-sub: 11.0ms (5.8% of total)

ival-div: 4.0ms (2.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series20.0ms (0.3%)

Memory

-26.6MiB live, 19.1MiB allocated; 10ms collecting garbage

Counts

24 → 134

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
(-.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 (- 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)) (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))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x)
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64))
#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)))
(fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64)))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))

Outputs
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) #s(hole binary64 (* 7/128 (pow x 4))))
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ 7/128 (* 33/1024 (pow x 2))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 x))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (* (+ (* (* x x) 33/1024) 7/128) x) x) #s(hole binary64 (* 7/128 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 33/1024) 7/128) x) x) #s(hole binary64 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))
#s(approx (- (- x -1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 x))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#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 (* -1 x))))
#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 (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) #s(hole binary64 (* 7/128 x)))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) #s(hole binary64 (* x (+ 7/128 (* 33/1024 (pow x 2))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 2))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#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 (+ (* -1/8 x) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (- (* -1/8 x) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -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)) (sqrt (- 1 x))) #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))))))) (+ (* -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 (* (* (+ (* (* x x) 33/1024) 7/128) x) x) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 33/1024) 7/128) x) x) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))))
#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 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #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 (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) #s(hole binary64 (* 33/1024 (pow x 3))))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) #s(hole binary64 (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 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 (+ (* -1/8 x) -1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (* -1 (* x (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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)))) (+ (* -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)) (sqrt (- 1 x))) #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))))) (+ (* -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 (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (pow x 6))) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x)) #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 (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))))
#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)))))))))

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

inf

((* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* (+ (* (* x x) 33/1024) 7/128) x) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (+ (* -1/8 x) -1/2) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (* x x) (+ (* (* x x) 33/1024) 7/128))

3.0ms

-inf

((* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* (+ (* (* x x) 33/1024) 7/128) x) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (+ (* -1/8 x) -1/2) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (* x x) (+ (* (* x x) 33/1024) 7/128))

2.0ms

((* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* (+ (* (* x x) 33/1024) 7/128) x) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 x)) (+ (* -1/8 x) -1/2) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (* x x) (+ (* (* x x) 33/1024) 7/128))

simplify269.0ms (4.1%)

Memory

-16.2MiB live, 277.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	548	4639
1	1549	4095
2	6968	4067
0	8202	3826

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 134

Calls

Call 1

Inputs
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) #s(hole binary64 (* 7/128 (pow x 4))))
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ 7/128 (* 33/1024 (pow x 2))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 x))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (* (+ (* (* x x) 33/1024) 7/128) x) x) #s(hole binary64 (* 7/128 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 33/1024) 7/128) x) x) #s(hole binary64 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))
#s(approx (- (- x -1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 x))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#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 (* -1 x))))
#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 (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) #s(hole binary64 (* 7/128 x)))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) #s(hole binary64 (* x (+ 7/128 (* 33/1024 (pow x 2))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 2))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#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 (+ (* -1/8 x) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (- (* -1/8 x) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -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)) (sqrt (- 1 x))) #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))))))) (+ (* -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 (* (* (+ (* (* x x) 33/1024) 7/128) x) x) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 33/1024) 7/128) x) x) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))))
#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 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #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 (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) #s(hole binary64 (* 33/1024 (pow x 3))))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) #s(hole binary64 (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 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 (+ (* -1/8 x) -1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (* -1 (* x (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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)))) (+ (* -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)) (sqrt (- 1 x))) #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))))) (+ (* -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 (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (pow x 6))) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x)) #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 (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))))
#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)))))))))

Outputs
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) #s(hole binary64 (* 7/128 (pow x 4))))
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/128 binary64)))
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ 7/128 (* 33/1024 (pow x 2))))))
#s(approx (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 33/1024 binary64) x) x #s(literal 7/128 binary64))))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) x)
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (+ (* (* (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (* x x)) x) (+ (* 1/8 (pow x 3)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 33/1024 binary64) x) x #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 33/1024 binary64) x) x #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (* (* (+ (* (* x x) 33/1024) 7/128) x) x) #s(hole binary64 (* 7/128 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (.f64 (.f64 x x) #s(literal 7/128 binary64)))
#s(approx (* (* (+ (* (* x x) 33/1024) 7/128) x) x) #s(hole binary64 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))
#s(approx (* (* (+ (* (* x x) 33/1024) 7/128) x) x) (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 33/1024 binary64) x) x #s(literal 7/128 binary64))))
#s(approx (- (- x -1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 x))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) x)
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
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#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#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 (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) (*.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 (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) (*.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 (+ 1 x)) #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 (+ 1 x)) (.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 (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (.f64 (.f64 #s(literal -1/8 binary64) x) x))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 33/1024 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 33/1024 binary64)) (/.f64 #s(literal -7/128 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 33/1024 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -7/128 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 33/1024 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 33/1024 binary64)) (/.f64 #s(literal -7/128 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 33/1024 binary64)))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 33/1024 binary64)) (/.f64 #s(literal -7/128 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) #s(hole binary64 (* 33/1024 (pow x 3))))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 33/1024 binary64)))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) #s(hole binary64 (* (pow x 3) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 33/1024) 7/128) x) (.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 (.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 (fma.f64 #s(literal -1/8 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.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)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) -1/2) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (+ (* -1/8 x) -1/2) #s(hole binary64 (* -1 (* x (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* -1/8 x) -1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
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#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) (.f64 (.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)) x) x))
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#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
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#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 (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) (.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x)) (.f64 (neg.f64 x) (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) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x)) (.f64 (neg.f64 x) (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 4 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) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal -1 binary64) #s(literal -7/128 binary64)) x) x) #s(literal 33/1024 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
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#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 (neg.f64 x) (.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 (neg.f64 x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 (neg.f64 x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (/.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 x)) (sqrt.f64 #s(literal -1 binary64))))
#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 (neg.f64 x) (.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))))))
#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) (fma.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) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 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) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64))) (*.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)))))))

rewrite120.0ms (1.8%)

Memory

9.2MiB live, 98.5MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	314
0	79	312
1	345	294
0	2949	290

Stop Event

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

Counts

24 → 415

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
(-.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 (- 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)) (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))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x)
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64))
#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)))
(fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64)))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))

Outputs
(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (*.f64 x (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x))
(.f64 x (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
(fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (+.f64 x (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (+.f64 x (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 x x) (+.f64 x (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (+.f64 x (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))))
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(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/8 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/8 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64))
(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))
(fma.f64 x (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) #s(literal 1/8 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x)) x))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 x) (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) x) x))
(.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) x)
(.f64 x (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) x) (-.f64 (.f64 #s(literal 33/1024 binary64) (*.f64 x x)) #s(literal 7/128 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 35937/1073741824 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 343/2097152 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (.f64 (.f64 x x) #s(literal 231/131072 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 49/16384 binary64))) (-.f64 (.f64 #s(literal 33/1024 binary64) (*.f64 x x)) #s(literal 7/128 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 35937/1073741824 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 343/2097152 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (.f64 (.f64 x x) #s(literal 231/131072 binary64))))
(fma.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) x (*.f64 #s(literal 7/128 binary64) x))
(fma.f64 #s(literal 7/128 binary64) x (.f64 (.f64 #s(literal 33/1024 binary64) (*.f64 x x)) x))
(fma.f64 x (.f64 #s(literal 33/1024 binary64) (.f64 x x)) (*.f64 x #s(literal 7/128 binary64)))
(fma.f64 x #s(literal 7/128 binary64) (.f64 x (.f64 #s(literal 33/1024 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) x) (.f64 #s(literal 7/128 binary64) x))
(+.f64 (.f64 #s(literal 7/128 binary64) x) (.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) x))
(+.f64 (.f64 x (.f64 #s(literal 33/1024 binary64) (.f64 x x))) (.f64 x #s(literal 7/128 binary64)))
(+.f64 (.f64 x #s(literal 7/128 binary64)) (.f64 x (.f64 #s(literal 33/1024 binary64) (.f64 x x))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64))
#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)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 x x) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (*.f64 x #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/16 binary64)))))
(fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal -1/8 binary64)))
(+.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/16 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/64 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(+.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 49/16384 binary64) (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 49/16384 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 7/128 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 35937/1073741824 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 343/2097152 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (.f64 (*.f64 x x) #s(literal 231/131072 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 7/128 binary64)))
(/.f64 (fma.f64 #s(literal 35937/1073741824 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 343/2097152 binary64)) (+.f64 #s(literal 49/16384 binary64) (-.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 231/131072 binary64)))))
(/.f64 (fma.f64 #s(literal 35937/1073741824 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 343/2097152 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (.f64 (*.f64 x x) #s(literal 231/131072 binary64))))
(fma.f64 (*.f64 #s(literal 33/1024 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 7/128 binary64))
(fma.f64 (*.f64 #s(literal 33/1024 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 7/128 binary64))
(fma.f64 (*.f64 #s(literal 33/1024 binary64) x) x #s(literal 7/128 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(fma.f64 x (*.f64 #s(literal 33/1024 binary64) x) #s(literal 7/128 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 7/128 binary64))) (/.f64 #s(literal 49/16384 binary64) (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 7/128 binary64))))
(-.f64 #s(literal 7/128 binary64) (.f64 #s(literal -33/1024 binary64) (.f64 x x)))
(-.f64 #s(literal 7/128 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 33/1024 binary64)))
(-.f64 #s(literal 7/128 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 33/1024 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (.f64 (.f64 x x) #s(literal 231/131072 binary64)))) (/.f64 #s(literal 343/2097152 binary64) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 49/16384 binary64)) (.f64 (.f64 x x) #s(literal 231/131072 binary64)))))
(+.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal 7/128 binary64))
(+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (.f64 x x)))

eval86.0ms (1.3%)

Memory: 29.4MiB live, 137.0MiB allocated; 16ms collecting garbage
Compiler: Compiled 24 065 to 2 580 computations (89.3% saved)

prune71.0ms (1.1%)

Memory

-11.9MiB live, 35.1MiB allocated; 2ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	655	2	657
Fresh	0	0	0
Picked	3	2	5
Done	1	2	3
Total	659	6	665

Accuracy

100.0%

Counts

665 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	10.1%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	100.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
▶	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
✓	100.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
▶	99.6%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
✓	98.4%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 143 to 92 computations (35.7% saved)

simplify145.0ms (2.2%)

Memory

7.5MiB live, 152.1MiB allocated; 11ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
cost-diff	0	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x)
cost-diff	0	#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	192
0	35	192
1	71	192
2	219	188
3	988	188
4	3386	188
5	7559	188
0	9521	171

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
(.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x)
(.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64))
#s(literal 7/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) x))
(fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) x)
(.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x))
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)
(.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64))
#s(literal 7/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)

localize115.0ms (1.7%)

Memory

-8.8MiB live, 78.2MiB allocated; 14ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
accuracy	0.015625	(.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
accuracy	1.1252601750469258	#s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
accuracy	0.015625	(.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
accuracy	1.0622120688066796	#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64))

Samples

68.0ms	103×	2	valid
32.0ms	144×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 140 to 20 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

adjust: 23.0ms (38.4% of total)

ival-sqrt: 16.0ms (26.7% of total)

ival-add: 7.0ms (11.7% of total)

ival-mult: 7.0ms (11.7% of total)

ival-sub: 6.0ms (10% of total)

exact: 1.0ms (1.7% of total)

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

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

series4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

10 → 39

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64))
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64))

Outputs
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -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)) (sqrt (- 1 x))) #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))))))) (+ (* -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 (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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)))) (+ (* -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)) (sqrt (- 1 x))) #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))))) (+ (* -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))))))))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x) (+ (* (* x x) 33/1024) 7/128))

1.0ms

-inf

((+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x) (+ (* (* x x) 33/1024) 7/128))

1.0ms

((+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x) (+ (* (* x x) 33/1024) 7/128))

simplify159.0ms (2.4%)

Memory

-18.9MiB live, 125.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	1301
1	540	1237
2	1998	1184
0	8364	1096

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

Inputs
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -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)) (sqrt (- 1 x))) #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))))))) (+ (* -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 (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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)))) (+ (* -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)) (sqrt (- 1 x))) #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))))) (+ (* -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))))))))))

Outputs
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) x)
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 7/128 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 33/1024 binary64) #s(literal 1/8 binary64))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 7/128 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 33/1024 binary64) #s(literal 1/8 binary64))) x))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 7/128 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 33/1024 binary64) #s(literal 1/8 binary64)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (fma.f64 (*.f64 #s(literal 7/128 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 33/1024 binary64) #s(literal 1/8 binary64))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (+ (* (* x x) 33/1024) 7/128) (fma.f64 (*.f64 #s(literal 33/1024 binary64) x) x #s(literal 7/128 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 33/1024 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 33/1024 binary64)) (/.f64 #s(literal -7/128 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (.f64 (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -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)) (sqrt (- 1 x))) (.f64 (-.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)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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))))))) (+ (* -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)) (sqrt (- 1 x))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.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)))) (*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 33/1024 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 33/1024 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 7/128 binary64)) x) x))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 33/1024 binary64)))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 33/1024 binary64)) (/.f64 #s(literal -7/128 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* (* x x) 33/1024) 7/128) (.f64 (.f64 x x) #s(literal 33/1024 binary64)))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) (fma.f64 (*.f64 #s(literal 33/1024 binary64) x) x #s(literal 7/128 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 7/128 binary64)) x) x) #s(literal 33/1024 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (* x x)) x) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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)))) (+ (* -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)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (fma.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.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) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #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))))) (+ (* -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)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (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 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))

rewrite181.0ms (2.7%)

Memory

-7.5MiB live, 232.4MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	184
0	35	184
1	163	180
2	1299	180
0	8420	163

Stop Event

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

Counts

10 → 172

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64))
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64))

Outputs
(.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
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(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/64 binary64)) (-.f64 (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/8 binary64) (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/8 binary64))
(fma.f64 (.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64))) #s(literal 1/8 binary64))
(fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))
(fma.f64 x (.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) #s(literal 1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))) (/.f64 (.f64 (pow.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x)) x))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) x))
(+.f64 (/.f64 (.f64 (pow.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) (.f64 x #s(literal 1/8 binary64)))))) (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) (*.f64 x #s(literal 1/8 binary64)))))))
(+.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) (.f64 x #s(literal 1/8 binary64)))))) (/.f64 (.f64 (pow.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) (*.f64 x #s(literal 1/8 binary64)))))))
(+.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/8 binary64) (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))))) (/.f64 (.f64 (pow.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/8 binary64) (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))))))
(+.f64 (/.f64 (.f64 (pow.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/8 binary64) (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 (pow.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/8 binary64) (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))))))
(+.f64 (/.f64 (.f64 (pow.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1/64 binary64) (-.f64 (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))))
(+.f64 (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) x) x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64))

eval42.0ms (0.6%)

Memory: 0.3MiB live, 61.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 14 903 to 1 162 computations (92.2% saved)

prune11.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	254	2	256
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	254	8	262

Accuracy

100.0%

Counts

262 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	10.1%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	100.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
✓	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
✓	100.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
✓	99.6%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
	99.5%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
✓	98.4%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 604 to 229 computations (62.1% saved)

regimes9.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
(-.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 (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(-.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))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x)))

Outputs

#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)) x x))

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.2%)

Memory

-39.3MiB live, 6.6MiB allocated; 5ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
(-.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 (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(-.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))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))

Calls

2 calls:

8.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
3.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.9%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x))

Outputs

#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.9%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64)))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.6%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
98.4%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
98.4%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify46.0ms (0.7%)

Memory

-5.6MiB live, 39.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	165
1	52	165
2	114	165
3	391	165
4	1144	165
5	2026	165
6	4481	165

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

derivations267.0ms (4%)

Memory

28.9MiB live, 166.7MiB allocated; 31ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 165 to 41 computations (75.2% saved)

preprocess44.0ms (0.7%)

Memory: -13.0MiB live, 73.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 374 to 116 computations (69% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (33.6%)

explain208.0ms (3.1%)

preprocess292.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify169.0ms (2.6%)

localize49.0ms (0.7%)

series6.0ms (0.1%)

simplify213.0ms (3.2%)

rewrite57.0ms (0.9%)

eval8.0ms (0.1%)

prune6.0ms (0.1%)

simplify183.0ms (2.8%)

localize227.0ms (3.4%)

series32.0ms (0.5%)

simplify193.0ms (2.9%)

rewrite639.0ms (9.6%)

eval98.0ms (1.5%)

prune14.0ms (0.2%)

simplify114.0ms (1.7%)

localize277.0ms (4.2%)

series20.0ms (0.3%)

simplify269.0ms (4.1%)

rewrite120.0ms (1.8%)

eval86.0ms (1.3%)

prune71.0ms (1.1%)

simplify145.0ms (2.2%)

localize115.0ms (1.7%)

series4.0ms (0.1%)

simplify159.0ms (2.4%)

rewrite181.0ms (2.7%)

eval42.0ms (0.6%)

prune11.0ms (0.2%)

regimes9.0ms (0.1%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify46.0ms (0.7%)

derivations267.0ms (4%)

preprocess44.0ms (0.7%)

end0.0ms (0%)

Profiling