Metrics for Main:bigenough3 from C

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
80%	50%	12.5%	0%	0%	37.5%	0%	4
88.9%	50%	6.2%	0%	0%	43.7%	0%	5
94.1%	50%	3.1%	0%	0%	46.9%	0%	6
97%	50%	1.6%	0%	0%	48.4%	0%	7
98.5%	50%	0.8%	0%	0%	49.2%	0%	8
99.2%	50%	0.4%	0%	0%	49.6%	0%	9
99.6%	50%	0.2%	0%	0%	49.8%	0%	10
99.8%	50%	0.1%	0%	0%	49.9%	0%	11
99.9%	50%	0%	0%	0%	49.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample926.0ms (47.2%)

Memory

44.6MiB live, 1 232.9MiB allocated; 201ms collecting garbage

Samples

439.0ms	4 002×	1	valid
272.0ms	4 254×	0	valid
0.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 380.0ms

ival-sqrt: 215.0ms (56.6% of total)

adjust: 98.0ms (25.8% of total)

ival-add!: 38.0ms (10% of total)

ival-sub!: 29.0ms (7.6% of total)

Bogosity

explain133.0ms (6.8%)

Memory

4.8MiB live, 192.6MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`	cancellation	139	0

Confusion

	Predicted +	Predicted -
+	139	0
-	0	117

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	139	0	0
-	0	0	117

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	117
1	139

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	278×	1	valid
38.0ms	234×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sqrt: 40.0ms (81.2% of total)

adjust: 5.0ms (10.2% of total)

ival-add!: 2.0ms (4.1% of total)

ival-sub!: 2.0ms (4.1% of total)

preprocess106.0ms (5.4%)

Memory

-41.4MiB live, 50.7MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	16	26
2	19	26
3	33	26
4	76	26
5	321	24
6	2820	24
7	6223	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series6.0ms (0.3%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

6 → 31

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite60.0ms (3.1%)

Memory

24.0MiB live, 70.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	679
0	156	575
0	846	543

Stop Event

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

Counts

37 → 46

Calls

Call 1

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

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

eval5.0ms (0.2%)

Memory: 9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 744 to 195 computations (73.8% saved)

prune8.0ms (0.4%)

Memory

-32.9MiB live, 12.2MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	34	7	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	8	42

Accuracy

100.0%

Counts

42 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	49.1%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	3.5%	(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
▶	45.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶	55.9%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
	54.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
▶	54.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶	56.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))

Compiler

Compiled 273 to 200 computations (26.7% saved)

series12.0ms (0.6%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Counts

25 → 74

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal 1/16 binary64)

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16)
3.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16)
2.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16)

Time

Variable

Point

Expression

5.0ms

-inf

((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16)

3.0ms

((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16)

2.0ms

inf

((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16)

rewrite137.0ms (7%)

Memory

-47.0MiB live, 68.8MiB allocated; 117ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	276	2020
0	309	1653
0	1434	1585

Stop Event

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

Counts

99 → 146

Calls

Call 1

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

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

eval27.0ms (1.4%)

Memory: 45.2MiB live, 45.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 272 to 677 computations (84.2% saved)

prune13.0ms (0.7%)

Memory

-38.4MiB live, 13.2MiB allocated; 13ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	152	6	158
Fresh	1	1	2
Picked	4	1	5
Done	0	1	1
Total	157	9	166

Accuracy

100.0%

Counts

166 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	49.1%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	45.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶	54.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
▶	56.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶	56.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
▶	56.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	55.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
▶	54.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))

Compiler

Compiled 380 to 274 computations (27.9% saved)

series10.0ms (0.5%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

24 → 61

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (pow x -1)) 1/2) (sqrt (pow x -1)) (pow x -1) x -1 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (/ 1/2 (sqrt x))) (pow x -3/2) -3/2 -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)))
3.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (pow x -1)) 1/2) (sqrt (pow x -1)) (pow x -1) x -1 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (/ 1/2 (sqrt x))) (pow x -3/2) -3/2 -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)))
2.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (pow x -1)) 1/2) (sqrt (pow x -1)) (pow x -1) x -1 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (/ 1/2 (sqrt x))) (pow x -3/2) -3/2 -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)))

Time

Variable

Point

Expression

4.0ms

-inf

((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (pow x -1)) 1/2) (sqrt (pow x -1)) (pow x -1) x -1 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (/ 1/2 (sqrt x))) (pow x -3/2) -3/2 -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)))

3.0ms

((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (pow x -1)) 1/2) (sqrt (pow x -1)) (pow x -1) x -1 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (/ 1/2 (sqrt x))) (pow x -3/2) -3/2 -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)))

2.0ms

inf

((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (pow x -1)) 1/2) (sqrt (pow x -1)) (pow x -1) x -1 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (/ 1/2 (sqrt x))) (pow x -3/2) -3/2 -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)))

rewrite74.0ms (3.8%)

Memory

-2.1MiB live, 43.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1800
0	254	1497
0	1139	1434

Stop Event

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

Counts

85 → 125

Calls

Call 1

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

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

eval13.0ms (0.6%)

Memory: 21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 652 to 517 computations (85.8% saved)

prune19.0ms (1%)

Memory

-37.2MiB live, 8.8MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	2	2
Picked	2	3	5
Done	0	2	2
Total	120	9	129

Accuracy

100.0%

Counts

129 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	49.1%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	45.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
✓	54.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
✓	56.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
▶	56.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
▶	52.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
▶	55.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
✓	54.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))

Compiler

Compiled 180 to 133 computations (26.1% saved)

series91.0ms (4.6%)

Memory

4.6MiB live, 51.4MiB allocated; 13ms collecting garbage

Counts

34 → 107

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(pow.f64 x #s(literal -3/2 binary64))
x
#s(literal -3/2 binary64)
#s(literal -1/8 binary64)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(log.f64 x)
#s(literal -1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.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)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (pow x -3/2) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (exp (* (log x) -1))) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (exp (* (log x) -1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (exp (* (log x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (log x) -1) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (* (pow x -1/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 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 (+ 1/2 (* -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 x) (sqrt x)) #s(hole binary64 x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (* (log x) -1) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#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 x)))))
#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)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (pow x -3/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (exp (* (log x) -1))) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (exp (* (log x) -1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (* (log x) -1) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (* (pow x -1/2) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (pow (sqrt -1) 2)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (+ (/ 1 x) (pow (sqrt -1) 2))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt 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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt 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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))

Calls

3 calls:

Time	Variable		Point	Expression
52.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) (pow x -3/2) x -3/2 -1/8 (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) (sqrt (pow x -5)) (pow x -5) -5 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (exp (* (log x) -1))) 1/2) (sqrt (exp (* (log x) -1))) (exp (* (log x) -1)) (* (log x) -1) (log x) -1 (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2) -1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))
27.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) (pow x -3/2) x -3/2 -1/8 (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) (sqrt (pow x -5)) (pow x -5) -5 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (exp (* (log x) -1))) 1/2) (sqrt (exp (* (log x) -1))) (exp (* (log x) -1)) (* (log x) -1) (log x) -1 (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2) -1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))
9.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) (pow x -3/2) x -3/2 -1/8 (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) (sqrt (pow x -5)) (pow x -5) -5 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (exp (* (log x) -1))) 1/2) (sqrt (exp (* (log x) -1))) (exp (* (log x) -1)) (* (log x) -1) (log x) -1 (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2) -1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))

Time

Variable

Point

Expression

52.0ms

-inf

((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) (pow x -3/2) x -3/2 -1/8 (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) (sqrt (pow x -5)) (pow x -5) -5 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (exp (* (log x) -1))) 1/2) (sqrt (exp (* (log x) -1))) (exp (* (log x) -1)) (* (log x) -1) (log x) -1 (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2) -1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))

27.0ms

((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) (pow x -3/2) x -3/2 -1/8 (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) (sqrt (pow x -5)) (pow x -5) -5 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (exp (* (log x) -1))) 1/2) (sqrt (exp (* (log x) -1))) (exp (* (log x) -1)) (* (log x) -1) (log x) -1 (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2) -1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))

9.0ms

inf

((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) (pow x -3/2) x -3/2 -1/8 (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) (sqrt (pow x -5)) (pow x -5) -5 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (exp (* (log x) -1))) 1/2) (sqrt (exp (* (log x) -1))) (exp (* (log x) -1)) (* (log x) -1) (log x) -1 (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2) -1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))

rewrite109.0ms (5.6%)

Memory

7.2MiB live, 98.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	435	3058
0	476	2272
0	2378	2176

Stop Event

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

Counts

141 → 220

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(pow.f64 x #s(literal -3/2 binary64))
x
#s(literal -3/2 binary64)
#s(literal -1/8 binary64)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(log.f64 x)
#s(literal -1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.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)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (pow x -3/2) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (exp (* (log x) -1))) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (exp (* (log x) -1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (exp (* (log x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (log x) -1) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (* (pow x -1/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 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 (+ 1/2 (* -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 x) (sqrt x)) #s(hole binary64 x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (* (log x) -1) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#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 x)))))
#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)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (pow x -3/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (exp (* (log x) -1))) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (exp (* (log x) -1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (* (log x) -1) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (* (pow x -1/2) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (pow (sqrt -1) 2)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (+ (/ 1 x) (pow (sqrt -1) 2))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt 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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt 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)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))

Outputs
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64)) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
x
#s(literal -3/2 binary64)
#s(literal -1/8 binary64)
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -5/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -5 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)))
#s(literal -5 binary64)
#s(literal 1/16 binary64)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (log.f64 x)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
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(log.f64 x)
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(pow.f64 x #s(literal -1/2 binary64))
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(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
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(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
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(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
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(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
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#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
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#s(approx (sqrt (pow x -5)) (pow.f64 x #s(literal -5/2 binary64)))
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#s(approx (/ 1/2 (sqrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
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#s(approx (pow x -1/2) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
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#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
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#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+.f64 #s(literal 1 binary64) x))
#s(approx (* (sqrt x) (sqrt x)) x)
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#s(approx (sqrt (+ 1 x)) (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
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#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) (fma.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (pow x -3/2) -1/8) (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x)))) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/16 binary64) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))))
#s(approx (pow x -3/2) (neg.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (sqrt (pow x -5)) 1/16) (/ 1/2 (sqrt x))) (fma.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (sqrt (pow x -5)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (* (sqrt (exp (* (log x) -1))) 1/2) (.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (exp (* (log x) -1))) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (* (log x) -1) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log x) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* (pow x -1/2) 1/2) (.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (pow x -1/2) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))))) x))) x))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 #s(literal 0 binary64) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) (neg.f64 (.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))) x)))
#s(approx (* (sqrt x) (sqrt x)) (neg.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))) x)))

eval38.0ms (1.9%)

Memory: 0.2MiB live, 44.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 7 613 to 986 computations (87% saved)

prune9.0ms (0.5%)

Memory

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

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	210	5	215
Fresh	0	0	0
Picked	3	1	4
Done	1	4	5
Total	214	10	224

Accuracy

100.0%

Counts

224 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	49.1%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	45.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	55.2%	#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
	55.4%	#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
✓	56.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
✓	56.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
	52.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 (log.f64 x)))) #s(literal 1/2 binary64)))
	52.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (exp.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
✓	54.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))

Compiler

Compiled 697 to 279 computations (60% saved)

regimes11.0ms (0.6%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 (log.f64 x)))) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (exp.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))

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

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.7%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes25.0ms (1.3%)

Memory

-32.9MiB live, 17.4MiB allocated; 10ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))

Calls

2 calls:

21.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.5%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.5%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.4%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.3%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.5%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.5%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.2%)

Memory

-41.9MiB live, 5.1MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
56.3%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
56.3%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch12.0ms (0.6%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	82282.24107280937	406632.39831081644

Samples

7.0ms

96×

valid

Compiler

Compiled 280 to 226 computations (19.3% saved)

Precisions

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

ival-sqrt: 3.0ms (69.3% of total)

adjust: 1.0ms (23.1% of total)

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

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

bsearch16.0ms (0.8%)

Memory

-19.5MiB live, 26.5MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1547486.6377127145	141351724.00878263

Samples

8.0ms

112×

valid

Compiler

Compiled 150 to 143 computations (4.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sqrt: 3.0ms (59.7% of total)

adjust: 1.0ms (19.9% of total)

ival-sub!: 1.0ms (19.9% of total)

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

bsearch12.0ms (0.6%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.564736686369576e-6	12.906690023040268

Samples

5.0ms

144×

valid

Compiler

Compiled 208 to 199 computations (4.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sqrt: 2.0ms (75.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.564736686369576e-6	12.906690023040268

Compiler

Compiled 199 to 190 computations (4.5% saved)

derivations32.0ms (1.6%)

Memory

7.8MiB live, 53.1MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 161 to 59 computations (63.4% saved)

preprocess39.0ms (2%)

Memory: 8.1MiB live, 104.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 336 to 130 computations (61.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample926.0ms (47.2%)

explain133.0ms (6.8%)

preprocess106.0ms (5.4%)

series6.0ms (0.3%)

rewrite60.0ms (3.1%)

eval5.0ms (0.2%)

prune8.0ms (0.4%)

series12.0ms (0.6%)

rewrite137.0ms (7%)

eval27.0ms (1.4%)

prune13.0ms (0.7%)

series10.0ms (0.5%)

rewrite74.0ms (3.8%)

eval13.0ms (0.6%)

prune19.0ms (1%)

series91.0ms (4.6%)

rewrite109.0ms (5.6%)

eval38.0ms (1.9%)

prune9.0ms (0.5%)

regimes11.0ms (0.6%)

regimes25.0ms (1.3%)

regimes7.0ms (0.4%)

regimes6.0ms (0.3%)

regimes2.0ms (0.1%)

regimes4.0ms (0.2%)

bsearch12.0ms (0.6%)

bsearch16.0ms (0.8%)

bsearch12.0ms (0.6%)

bsearch1.0ms (0.1%)

derivations32.0ms (1.6%)

preprocess39.0ms (2%)

end0.0ms (0%)

Profiling