Metrics for bug333 (missed optimization)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample2.1s (37.8%)

Memory

15.1MiB live, 2 058.5MiB allocated; 418ms collecting garbage

Samples

830.0ms	3 303×	2	valid
726.0ms	4 789×	1	valid
47.0ms	164×	0	valid

Precisions

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

adjust: 460.0ms (36.8% of total)

ival-sqrt: 386.0ms (30.9% of total)

ival-sub: 271.0ms (21.7% of total)

ival-add: 124.0ms (9.9% of total)

exact: 8.0ms (0.6% of total)

ival-assert: 1.0ms (0.1% of total)

Bogosity

explain175.0ms (3.1%)

Memory

9.8MiB live, 196.6MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

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

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

46.0ms	292×	1	valid
43.0ms	208×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

adjust: 23.0ms (33.8% of total)

ival-sqrt: 23.0ms (33.8% of total)

ival-sub: 12.0ms (17.6% of total)

ival-add: 10.0ms (14.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess234.0ms (4.2%)

Memory

-24.2MiB live, 170.9MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	18	32
2	21	32
3	39	28
4	90	28
5	321	28
6	2660	28
7	6135	28
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
▶	8.8%	(-.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)

simplify166.0ms (2.9%)

Memory

34.2MiB live, 177.3MiB allocated; 32ms 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)

localize66.0ms (1.2%)

Memory

8.3MiB live, 96.8MiB allocated; 14ms 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	58.35669243729739	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Samples

30.0ms	146×	1	valid
21.0ms	104×	2	valid
0.0ms	6×	0	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-sub: 17.0ms (41.4% of total)

adjust: 11.0ms (26.8% of total)

ival-sqrt: 9.0ms (21.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory

-34.4MiB live, 21.4MiB allocated; 19ms 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
15.0ms	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

15.0ms

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)))

simplify141.0ms (2.5%)

Memory

33.0MiB live, 164.2MiB allocated; 18ms 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))))))))

rewrite98.0ms (1.7%)

Memory

-18.4MiB live, 84.1MiB allocated; 18ms 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: 17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 730 to 334 computations (80.7% saved)

prune8.0ms (0.1%)

Memory

-31.9MiB live, 13.6MiB allocated; 3ms 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
▶	8.9%	(/.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)))))
	8.9%	(-.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))))))
▶	8.7%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	8.8%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	8.3%	(-.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)))
▶	99.8%	#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))
▶	99.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 259 to 169 computations (34.7% saved)

simplify154.0ms (2.7%)

Memory

30.4MiB live, 177.7MiB allocated; 32ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
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)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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 #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 #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 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	219
0	61	219
1	96	215
2	238	211
3	870	211
4	2995	211
0	8174	211

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

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

localize252.0ms (4.5%)

Memory

13.5MiB live, 201.9MiB allocated; 15ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.02734375	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
accuracy	58.35669243729739	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	0.00390625	(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
accuracy	0.00390625	(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
accuracy	0.01171875	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	58.33552626299605	(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.01171875	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.3095075209651256	#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	58.35669243729739	(-.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	0.6197460423486792	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
accuracy	0.0	(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.15801241240536656	#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))

Samples

103.0ms	103×	2	valid
87.0ms	147×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 197 to 34 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

adjust: 66.0ms (47.7% of total)

ival-sqrt: 23.0ms (16.6% of total)

ival-sub: 15.0ms (10.8% of total)

ival-add: 12.0ms (8.7% of total)

ival-mult: 9.0ms (6.5% of total)

ival-div: 7.0ms (5.1% of total)

ival-pow: 5.0ms (3.6% of total)

exact: 1.0ms (0.7% of total)

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

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

series23.0ms (0.4%)

Memory

-10.5MiB live, 34.9MiB allocated; 6ms collecting garbage

Counts

22 → 146

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* 7/128 (* x x)) 1/8)) x) (pow x 3) (+ (* 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) (- (sqrt (+ 1 x)) (/ (sqrt (- 1 (* x x))) (sqrt (- x -1)))) (sqrt (+ 1 x)) (+ 1 x) (/ (sqrt (- 1 (* x x))) (sqrt (- x -1))) (* x x) (sqrt (- 1 x)) (sqrt (- x -1)) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 (* x x))))
6.0ms	x	@	-inf	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* 7/128 (* x x)) 1/8)) x) (pow x 3) (+ (* 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) (- (sqrt (+ 1 x)) (/ (sqrt (- 1 (* x x))) (sqrt (- x -1)))) (sqrt (+ 1 x)) (+ 1 x) (/ (sqrt (- 1 (* x x))) (sqrt (- x -1))) (* x x) (sqrt (- 1 x)) (sqrt (- x -1)) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 (* x x))))
3.0ms	x	@	0	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (pow x 3) (+ (* 7/128 (* x x)) 1/8)) x) (pow x 3) (+ (* 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) (- (sqrt (+ 1 x)) (/ (sqrt (- 1 (* x x))) (sqrt (- x -1)))) (sqrt (+ 1 x)) (+ 1 x) (/ (sqrt (- 1 (* x x))) (sqrt (- x -1))) (* x x) (sqrt (- 1 x)) (sqrt (- x -1)) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (sqrt (- 1 (* x x))))

Time

Variable

Point

Expression

7.0ms

inf

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

6.0ms

-inf

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

3.0ms

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

simplify182.0ms (3.2%)

Memory

-7.2MiB live, 226.9MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	562	5124
1	1514	4549
2	7012	4519
0	8241	4313

Stop Event

1×	iter limit
1×	node limit

Counts

146 → 146

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

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

rewrite142.0ms (2.5%)

Memory

-1.7MiB live, 135.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	182
0	61	173
1	256	155
0	2328	155

Stop Event

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

Counts

22 → 354

Calls

Call 1

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

Outputs
#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))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #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 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #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 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #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 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #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 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #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 #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)) (.f64 x x)) #s(literal 7/128 binary64) (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)) #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 (.f64 (*.f64 x x) #s(literal 7/128 binary64)) (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 x x) #s(literal 7/128 binary64)) x) (.f64 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 7/128 binary64) #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 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x) x)
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x)) x (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 #s(literal 7/128 binary64) x) (pow.f64 x #s(literal 4 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 x x) #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 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) x)
(fma.f64 (.f64 (.f64 x x) #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 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 #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 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 7/128 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #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 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) #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)) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)
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(-.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 x (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (sin.f64 (acos.f64 x)))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (-.f64 (-.f64 x (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (sin.f64 (acos.f64 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 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.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))))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sin.f64 (acos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sin.f64 (acos.f64 x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (neg.f64 x)))
(sin.f64 (acos.f64 (fabs.f64 x)))
(sin.f64 (acos.f64 x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(cos.f64 (neg.f64 (asin.f64 x)))
(cos.f64 (asin.f64 (neg.f64 x)))
(cos.f64 (asin.f64 (fabs.f64 x)))
(cos.f64 (asin.f64 x))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))

eval150.0ms (2.7%)

Memory: -26.0MiB live, 91.8MiB allocated; 97ms collecting garbage
Compiler: Compiled 17 669 to 2 177 computations (87.7% saved)

prune10.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	604	3	607
Fresh	2	0	2
Picked	4	1	5
Done	0	1	1
Total	610	5	615

Accuracy

100.0%

Counts

615 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.3%	(/.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)))
▶	100.0%	(/.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	8.8%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	99.8%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
✓	99.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 83 to 62 computations (25.3% saved)

simplify156.0ms (2.8%)

Memory

-18.4MiB live, 124.0MiB allocated; 14ms collecting garbage

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	167
0	48	163
1	79	157
2	173	149
3	621	149
4	2955	149
0	8302	147

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

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

localize139.0ms (2.5%)

Memory

20.6MiB live, 117.1MiB allocated; 9ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(/.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	0.6293110961019265	#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64))
accuracy	58.33552626299605	(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy	0.00390625	(/.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	0.00390625	(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
accuracy	0.00390625	(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
accuracy	0.01171875	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
accuracy	0.15801241240536656	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))

Samples

70.0ms	147×	1	valid
50.0ms	103×	2	valid
1.0ms	6×	0	valid

Compiler

Compiled 147 to 25 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

adjust: 31.0ms (39.5% of total)

ival-sub: 15.0ms (19.1% of total)

ival-sqrt: 13.0ms (16.6% of total)

ival-add: 8.0ms (10.2% of total)

ival-mult: 7.0ms (8.9% of total)

ival-div: 4.0ms (5.1% of total)

exact: 1.0ms (1.3% of total)

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

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

series8.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

16 → 87

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((+ (* (* (+ (* (* x x) 7/128) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 7/128) 1/8) (* x x)) (+ (* (* x x) 7/128) 1/8) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- (- x -1) (- 1 x)) (* 2 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (* x x) (sqrt (- 1 x)) (sqrt (- x -1)) (+ (sqrt (- 1 x)) (sqrt (- x -1))))

2.0ms

-inf

((+ (* (* (+ (* (* x x) 7/128) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 7/128) 1/8) (* x x)) (+ (* (* x x) 7/128) 1/8) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- (- x -1) (- 1 x)) (* 2 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (* x x) (sqrt (- 1 x)) (sqrt (- x -1)) (+ (sqrt (- 1 x)) (sqrt (- x -1))))

1.0ms

((+ (* (* (+ (* (* x x) 7/128) 1/8) (* x x)) x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 7/128) 1/8) (* x x)) (+ (* (* x x) 7/128) 1/8) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- (- x -1) (- 1 x)) (* 2 x) (+ (sqrt (- 1 x)) (sqrt (- x -1))) (- (- x -1) (- 1 x)) (/ (- (- x -1) (- 1 x)) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (- x -1) (- 1 x) (* x x) (sqrt (- 1 x)) (sqrt (- x -1)) (+ (sqrt (- 1 x)) (sqrt (- x -1))))

simplify184.0ms (3.3%)

Memory

-39.3MiB live, 149.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	452	3387
1	1323	2929
2	6321	2903
0	8461	2786

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 87

Calls

Call 1

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

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

rewrite70.0ms (1.3%)

Memory

12.4MiB live, 55.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	150
0	48	150
1	175	140
0	1443	138

Stop Event

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

Counts

16 → 198

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64))) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) (*.f64 x x) 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)
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x)
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(fma.f64 x (.f64 (.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) x))
(-.f64 x (.f64 (neg.f64 (fma.f64 #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 x) (.f64 (.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))) x)
(+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64))))
#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))
(.f64 (.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))
(.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 343/2097152 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (.f64 x x)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (*.f64 x x) #s(literal 7/1024 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (-.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 343/2097152 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (*.f64 x x) #s(literal 7/1024 binary64))))
(fma.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 7/128 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 #s(literal 7/128 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 #s(literal 7/128 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 7/128 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 7/128 binary64) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 343/2097152 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (*.f64 x x) #s(literal 7/1024 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (fma.f64 #s(literal 343/2097152 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 7/1024 binary64)))))
(/.f64 (fma.f64 #s(literal 343/2097152 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (*.f64 x x) #s(literal 7/1024 binary64))))
(fma.f64 (*.f64 #s(literal 7/128 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal 7/128 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal 7/128 binary64) x) x #s(literal 1/8 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))
(fma.f64 x (*.f64 #s(literal 7/128 binary64) x) #s(literal 1/8 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -7/128 binary64) (.f64 x x)))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 7/128 binary64)))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 7/128 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 x x) #s(literal 7/1024 binary64)))) (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 x x) #s(literal 7/1024 binary64)))))
(+.f64 (.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 7/128 binary64) (.f64 x x)))
(.f64 (/.f64 #s(approx (- (- x -1) (- 1 x)) (.f64 #s(literal 2 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 #s(approx (- (- x -1) (- 1 x)) (.f64 #s(literal 2 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 (neg.f64 (neg.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(+.f64 x 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))))
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eval44.0ms (0.8%)

Memory: 25.5MiB live, 68.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 11 418 to 1 449 computations (87.3% saved)

prune11.0ms (0.2%)

Memory

-41.6MiB live, 19.5MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	345	2	347
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	347	5	352

Accuracy

100.0%

Counts

352 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(approx (- (- x -1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	8.8%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.8%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
▶	99.6%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
✓	99.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 90 to 63 computations (30% saved)

simplify202.0ms (3.6%)

Memory

48.1MiB live, 138.2MiB allocated; 9ms collecting garbage

Localize:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	130
0	39	130
1	66	126
2	140	120
3	382	120
4	1011	120
5	6725	120
0	9504	114

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

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

localize229.0ms (4.1%)

Memory

-7.1MiB live, 146.1MiB allocated; 35ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 #s(approx (- (- x -1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	0.00390625	(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
accuracy	0.00390625	(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
accuracy	0.01171875	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(.f64 #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
accuracy	0.15801241240536656	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
accuracy	0.6510459373889703	#s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))

Samples

118.0ms	147×	1	valid
94.0ms	103×	2	valid
1.0ms	6×	0	valid

Compiler

Compiled 102 to 24 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

adjust: 77.0ms (39.7% of total)

ival-sqrt: 45.0ms (23.2% of total)

ival-sub: 31.0ms (16% of total)

ival-add: 31.0ms (16% of total)

ival-mult: 6.0ms (3.1% 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)

series9.0ms (0.2%)

Memory

-36.4MiB live, 9.6MiB allocated; 3ms collecting garbage

Counts

11 → 78

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify188.0ms (3.3%)

Memory

-8.5MiB live, 90.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	435	3321
1	1290	2864
2	6292	2838
0	8453	2721

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 78

Calls

Call 1

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

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

rewrite71.0ms (1.3%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	119
0	39	119
1	165	113
0	1428	107

Stop Event

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

Counts

11 → 87

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 2 binary64))) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) x))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x)
(fma.f64 (.f64 (.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x) x x)
(fma.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x)
(fma.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (.f64 (.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x) x)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (.f64 (.f64 #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x)) x))
(-.f64 x (.f64 (neg.f64 #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (.f64 (neg.f64 x) (.f64 (.f64 #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))) x)
(+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x))
(.f64 (.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))))
(.f64 (.f64 x x) #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)))
(.f64 #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 x (.f64 #s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) x))
#s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))
(.f64 (/.f64 #s(approx (- (- x -1) (- 1 x)) (.f64 #s(literal 2 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 #s(approx (- (- x -1) (- 1 x)) (.f64 #s(literal 2 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 (neg.f64 (neg.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x 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 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)))
(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))))
(-.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 (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 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.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)))

eval30.0ms (0.5%)

Memory: -19.3MiB live, 27.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 6 148 to 776 computations (87.4% saved)

prune7.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	161	6	167

Accuracy

100.0%

Counts

167 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(approx (- (- x -1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	99.6%	(/.f64 #s(approx (- (- x -1) (- 1 x)) (+.f64 x x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
✓	8.8%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.8%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
✓	99.6%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 #s(approx (+ ( (* x x) 7/128) 1/8) #s(literal 1/8 binary64)) (*.f64 x x)) x x))
✓	99.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 390 to 154 computations (60.5% saved)

regimes8.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	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)

regimes5.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB 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))) (fma.f64 (.f64 #s(approx (+ ( (* x x) 7/128) 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)))
(/.f64 #s(approx (- (- x -1) (- 1 x)) (+.f64 x x)) #s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))

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

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)

regimes3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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
99.0%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.0%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify34.0ms (0.6%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	109
1	61	109
2	108	109
3	223	109
4	487	109
5	2626	105

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations225.0ms (4%)

Memory

4.5MiB live, 97.4MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 109 to 44 computations (59.6% saved)

preprocess35.0ms (0.6%)

Memory: -2.9MiB live, 47.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 262 to 122 computations (53.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.1s (37.8%)

explain175.0ms (3.1%)

preprocess234.0ms (4.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify166.0ms (2.9%)

localize66.0ms (1.2%)

series25.0ms (0.4%)

simplify141.0ms (2.5%)

rewrite98.0ms (1.7%)

eval8.0ms (0.1%)

prune8.0ms (0.1%)

simplify154.0ms (2.7%)

localize252.0ms (4.5%)

series23.0ms (0.4%)

simplify182.0ms (3.2%)

rewrite142.0ms (2.5%)

eval150.0ms (2.7%)

prune10.0ms (0.2%)

simplify156.0ms (2.8%)

localize139.0ms (2.5%)

series8.0ms (0.1%)

simplify184.0ms (3.3%)

rewrite70.0ms (1.3%)

eval44.0ms (0.8%)

prune11.0ms (0.2%)

simplify202.0ms (3.6%)

localize229.0ms (4.1%)

series9.0ms (0.2%)

simplify188.0ms (3.3%)

rewrite71.0ms (1.3%)

eval30.0ms (0.5%)

prune7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

simplify34.0ms (0.6%)

derivations225.0ms (4%)

preprocess35.0ms (0.6%)

end0.0ms (0%)

Profiling