Metrics for sqrt times

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample847.0ms (62.5%)

Memory

49.8MiB live, 677.7MiB allocated; 840ms collecting garbage

Samples

600.0ms	8 247×	0	valid
1.0ms	9×	1	valid
1.0ms	14×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 446.0ms

ival-sub!: 278.0ms (62.4% of total)

ival-sqrt: 123.0ms (27.6% of total)

ival-mult!: 42.0ms (9.4% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain65.0ms (4.8%)

Memory

3.9MiB live, 93.1MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

30.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sqrt: 16.0ms (81.7% of total)

ival-sub!: 2.0ms (10.2% of total)

ival-mult!: 2.0ms (10.2% of total)

adjust: 0.0ms (0% of total)

preprocess120.0ms (8.9%)

Memory

-55.5MiB live, 55.5MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	20	26
2	25	26
3	35	26
4	69	26
5	250	26
6	1936	26
7	5071	26

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series6.0ms (0.4%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

6 → 32

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 (* (sqrt x) (sqrt -1))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- x 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#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 x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 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)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))))
#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 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) 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))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#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))
1.0ms	x	@	0	((* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) x 1 (sqrt x))
1.0ms	x	@	inf	((* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) x 1 (sqrt x))

rewrite76.0ms (5.6%)

Memory

13.8MiB live, 59.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	753
0	193	596
0	1106	575

Stop Event

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

Counts

38 → 44

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

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

eval5.0ms (0.4%)

Memory: 8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 760 to 210 computations (72.4% saved)

prune2.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Accuracy

100.0%

Counts

47 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	53.2%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	99.4%	#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
▶	98.1%	#s(approx (* (sqrt (- x 1)) (sqrt x)) x)

Compiler

Compiled 42 to 34 computations (19% saved)

series6.0ms (0.5%)

Memory

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

Counts

15 → 57

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* (sqrt (- x 1)) (sqrt x)) x (* (sqrt (- x 1)) (sqrt x)) (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/ (+ (/ 1/8 x) 1/2) x) (+ (/ 1/8 x) 1/2) (/ 1/8 x) 1/8 1/2 -1 1 (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1))
2.0ms	x	@	0	((* (sqrt (- x 1)) (sqrt x)) x (* (sqrt (- x 1)) (sqrt x)) (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/ (+ (/ 1/8 x) 1/2) x) (+ (/ 1/8 x) 1/2) (/ 1/8 x) 1/8 1/2 -1 1 (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1))
1.0ms	x	@	inf	((* (sqrt (- x 1)) (sqrt x)) x (* (sqrt (- x 1)) (sqrt x)) (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/ (+ (/ 1/8 x) 1/2) x) (+ (/ 1/8 x) 1/2) (/ 1/8 x) 1/8 1/2 -1 1 (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

1.0ms

inf

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

rewrite67.0ms (5%)

Memory

-8.2MiB live, 36.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	1210
0	221	1058
0	1026	1044

Stop Event

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

Counts

72 → 109

Calls

Call 1

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

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

eval11.0ms (0.8%)

Memory: 17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 327 to 427 computations (81.7% saved)

prune33.0ms (2.5%)

Memory

-32.5MiB live, 14.0MiB allocated; 15ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	110	4	114

Accuracy

100.0%

Counts

114 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	53.2%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	49.0%	#s(approx (* (sqrt (- x 1)) (sqrt x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) (.f64 x x))) x))
✓	98.1%	#s(approx (* (sqrt (- x 1)) (sqrt x)) x)

Compiler

Compiled 55 to 42 computations (23.6% saved)

series4.0ms (0.3%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

11 → 49

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (sqrt (- x 1)) (sqrt x)) (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/ (- (* (- x 1/2) x) 1/8) (* x x)) (- (* (- x 1/2) x) 1/8) (* (- x 1/2) x) (- x 1/2) x 1/2 1/8 (* x x))
1.0ms	x	@	inf	((* (sqrt (- x 1)) (sqrt x)) (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/ (- (* (- x 1/2) x) 1/8) (* x x)) (- (* (- x 1/2) x) 1/8) (* (- x 1/2) x) (- x 1/2) x 1/2 1/8 (* x x))
1.0ms	x	@	0	((* (sqrt (- x 1)) (sqrt x)) (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/ (- (* (- x 1/2) x) 1/8) (* x x)) (- (* (- x 1/2) x) 1/8) (* (- x 1/2) x) (- x 1/2) x 1/2 1/8 (* x x))

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite46.0ms (3.4%)

Memory

20.9MiB live, 64.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	1072
0	188	937
0	908	931

Stop Event

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

Counts

60 → 74

Calls

Call 1

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

Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) x) x)) x)
(.f64 x #s(approx (+ ( (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) x) x)))
#s(approx (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) x) x)
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64))) (neg.f64 (.f64 x x)))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) (.f64 x x))
(-.f64 (/.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) x) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) x) (*.f64 (-.f64 x #s(literal 1/2 binary64)) x)) #s(literal 1/64 binary64)) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) x #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) x) (.f64 (-.f64 x #s(literal 1/2 binary64)) x) (+.f64 #s(literal 1/64 binary64) (.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)))))
(-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) x)
(*.f64 x (-.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 x x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (.f64 x x) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)))) (.f64 x x))) (.f64 x x) (sqrt.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (/.f64 #s(literal -1/8 binary64) x))
#s(approx (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) x))
#s(approx (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
#s(approx (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (* (- x 1/2) x) 1/8) (* x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
#s(approx (/ (- (* (- x 1/2) x) 1/8) (* x x)) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (/ (- (* (- x 1/2) x) 1/8) (* x x)) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) x) x))
#s(approx (- (* (- x 1/2) x) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* (- x 1/2) x) 1/8) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/8 binary64)))
#s(approx (- (* (- x 1/2) x) 1/8) (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)))
#s(approx (* (- x 1/2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (- x 1/2) x) (*.f64 (-.f64 x #s(literal 1/2 binary64)) x))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(approx (- x 1/2) (-.f64 x #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) x)
#s(approx (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (- x 1/2) x) 1/8) (* x x)) #s(literal 1 binary64))
#s(approx (/ (- (* (- x 1/2) x) 1/8) (* x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (* (- x 1/2) x) 1/8) (* x x)) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (- (* (- x 1/2) x) 1/8) (*.f64 x x))
#s(approx (- (* (- x 1/2) x) 1/8) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
#s(approx (- (* (- x 1/2) x) 1/8) (.f64 (.f64 x x) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (- x 1/2) x) (*.f64 x x))
#s(approx (* (- x 1/2) x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
#s(approx (- x 1/2) x)
#s(approx (- x 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(approx (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (* (+ (* (/ (+ (/ 1/8 x) 1/2) x) -1) 1) x) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x)))
#s(approx (- x 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)))

eval9.0ms (0.7%)

Memory: -27.5MiB live, 19.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 717 to 393 computations (85.5% saved)

prune3.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	81	4	85

Accuracy

100.0%

Counts

85 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	53.2%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
✓	49.0%	#s(approx (* (sqrt (- x 1)) (sqrt x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/8 x) 1/2) x) -1) 1) (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) (.f64 x x))) x))
✓	98.1%	#s(approx (* (sqrt (- x 1)) (sqrt x)) x)

Compiler

Compiled 130 to 81 computations (37.7% saved)

regimes4.0ms (0.3%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.2%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms 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)) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.1%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch5.0ms (0.4%)

Memory

-40.0MiB live, 6.2MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	993402207176493.3	27423835135729404.0

Samples

3.0ms	16×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 40 to 38 computations (5% saved)

Precisions

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

ival-sqrt: 2.0ms (77% of total)

adjust: 0.0ms (0% of total)

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

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

derivations8.0ms (0.6%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 55 to 26 computations (52.7% saved)

preprocess25.0ms (1.8%)

Memory: -13.7MiB live, 38.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 124 to 64 computations (48.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample847.0ms (62.5%)

explain65.0ms (4.8%)

preprocess120.0ms (8.9%)

series6.0ms (0.4%)

rewrite76.0ms (5.6%)

eval5.0ms (0.4%)

prune2.0ms (0.2%)

series6.0ms (0.5%)

rewrite67.0ms (5%)

eval11.0ms (0.8%)

prune33.0ms (2.5%)

series4.0ms (0.3%)

rewrite46.0ms (3.4%)

eval9.0ms (0.7%)

prune3.0ms (0.2%)

regimes4.0ms (0.3%)

regimes4.0ms (0.3%)

regimes3.0ms (0.2%)

regimes2.0ms (0.2%)

bsearch5.0ms (0.4%)

derivations8.0ms (0.6%)

preprocess25.0ms (1.8%)

end0.0ms (0%)

Profiling