Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, B

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB 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
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample841.0ms (52%)

Memory

-33.7MiB live, 839.2MiB allocated; 277ms collecting garbage

Samples

485.0ms	8 246×	0	valid
1.0ms	9×	2	valid
0.0ms	1×	1	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-sqrt: 166.0ms (59.3% of total)

ival-add!: 60.0ms (21.4% of total)

ival-div!: 52.0ms (18.6% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain68.0ms (4.2%)

Memory

8.0MiB live, 143.0MiB allocated; 17ms collecting garbage

FPErrors

Click to see full error table

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

24.0ms

512×

valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sqrt: 7.0ms (54.7% of total)

ival-add!: 3.0ms (23.4% of total)

ival-div!: 3.0ms (23.4% of total)

adjust: 0.0ms (0% of total)

preprocess63.0ms (3.9%)

Memory

-22.3MiB live, 38.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	24	27
2	34	27
3	60	27
4	138	27
5	597	24
6	5534	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 16 to 12 computations (25% saved)

series6.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

6 → 41

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
2.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
0.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

3.0ms

-inf

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

2.0ms

inf

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

0.0ms

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

rewrite71.0ms (4.4%)

Memory

8.6MiB live, 145.9MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	968
0	215	773
0	1342	741

Stop Event

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

Counts

47 → 57

Calls

Call 1

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

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

eval6.0ms (0.3%)

Memory: 16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 049 to 284 computations (72.9% saved)

prune5.0ms (0.3%)

Memory

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

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Accuracy

100.0%

Counts

56 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	69.8%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
▶	71.0%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
	7.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
	31.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	69.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
▶	70.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
▶	69.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
▶	70.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
	32.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 304 to 222 computations (27% saved)

series21.0ms (1.3%)

Memory

-21.5MiB live, 31.7MiB allocated; 6ms collecting garbage

Counts

26 → 97

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
14.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128)
3.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128)
2.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128)

Time

Variable

Point

Expression

14.0ms

inf

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128)

3.0ms

-inf

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128)

2.0ms

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128)

rewrite72.0ms (4.4%)

Memory

19.4MiB live, 65.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	2122
0	363	1880
0	1704	1868

Stop Event

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

Counts

123 → 198

Calls

Call 1

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

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

eval35.0ms (2.1%)

Memory: -2.9MiB live, 43.9MiB allocated; 1ms collecting garbage
Compiler: Compiled 4 735 to 854 computations (82% saved)

prune12.0ms (0.7%)

Memory

-28.6MiB live, 16.4MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	0	4	4
Picked	0	5	5
Done	0	1	1
Total	173	11	184

Accuracy

100.0%

Counts

184 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	69.8%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
✓	71.0%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	69.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) x)))
▶	7.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
▶	31.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	69.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	70.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	69.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	70.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
▶	32.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 257 to 186 computations (27.6% saved)

series11.0ms (0.7%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Counts

27 → 71

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

rewrite70.0ms (4.3%)

Memory

-4.5MiB live, 89.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	275	1696
0	301	1376
0	1499	1356

Stop Event

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

Counts

98 → 180

Calls

Call 1

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

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

eval16.0ms (1%)

Memory: -10.5MiB live, 34.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 958 to 887 computations (82.1% saved)

prune6.0ms (0.4%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	0	0	0
Picked	1	4	5
Done	0	6	6
Total	172	11	183

Accuracy

100.0%

Counts

183 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	69.8%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
✓	71.0%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓	69.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) x)))
▶	32.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 #s(approx (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)))
✓	31.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	69.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	70.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	69.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	70.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
✓	32.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 180 to 130 computations (27.8% saved)

series5.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

10 → 31

Calls

Call 1

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

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (/ (- (* x (- (sqrt x) 1)) (* -1/2 (sqrt x))) x)))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (/ (- (sqrt (pow x 3)) (* -1/2 (sqrt x))) x)))
#s(approx (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 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 (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x))))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (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)) (/ 1 x)))))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #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 (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) #s(hole binary64 (* 1/2 (* (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	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2)
1.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2)
1.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2)

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite51.0ms (3.2%)

Memory

2.7MiB live, 48.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	934
0	177	711
0	1049	701

Stop Event

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

Counts

41 → 54

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 7.7MiB live, 7.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 792 to 253 computations (85.9% saved)

prune30.0ms (1.8%)

Memory

-37.0MiB live, 21.0MiB allocated; 16ms collecting garbage

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	1	0	1
Done	0	10	10
Total	45	11	56

Accuracy

100.0%

Counts

56 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	69.8%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
✓	71.0%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓	69.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) x)))
	32.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (sqrt.f64 x) #s(approx (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)))
✓	31.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	69.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	70.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	69.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	70.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
✓	32.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 417 to 204 computations (51.1% saved)

regimes9.0ms (0.5%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes18.0ms (1.1%)

Memory

-34.6MiB live, 12.4MiB allocated; 2ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

15.0ms	x
3.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.6%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.4%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.6%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.3%)

Memory

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

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.4%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.3%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.4%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes11.0ms (0.7%)

Memory

-38.1MiB live, 8.9MiB allocated; 2ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
99.4%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.7%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.3%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.5%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
70.5%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (0.8%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.04272955327114707	2375949136352.609

Samples

5.0ms

160×

valid

Compiler

Compiled 361 to 290 computations (19.7% saved)

Precisions

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

ival-sqrt: 1.0ms (36.4% of total)

ival-add!: 1.0ms (36.4% of total)

ival-div!: 1.0ms (36.4% of total)

adjust: 0.0ms (0% of total)

bsearch9.0ms (0.6%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.04272955327114707	2375949136352.609

Samples

4.0ms

112×

valid

Compiler

Compiled 301 to 250 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 1.0ms (52.4% of total)

ival-add!: 1.0ms (52.4% of total)

ival-div!: 1.0ms (52.4% of total)

adjust: 0.0ms (0% of total)

bsearch7.0ms (0.4%)

Memory

-39.7MiB live, 6.9MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.04272955327114707	2375949136352.609

Samples

2.0ms

48×

valid

Compiler

Compiled 331 to 270 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

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

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

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

bsearch6.0ms (0.3%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.04272955327114707	2375949136352.609

Samples

2.0ms

64×

valid

Compiler

Compiled 271 to 230 computations (15.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

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

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

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

bsearch1.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.04272955327114707	2375949136352.609

Compiler

Compiled 311 to 250 computations (19.6% saved)

bsearch1.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.04272955327114707	2375949136352.609

Compiler

Compiled 291 to 240 computations (17.5% saved)

bsearch2.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.04272955327114707	2375949136352.609

Samples

1.0ms

16×

valid

Compiler

Compiled 271 to 220 computations (18.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

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

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

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

bsearch1.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.04272955327114707	2375949136352.609

Compiler

Compiled 241 to 200 computations (17% saved)

derivations30.0ms (1.9%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 281 to 67 computations (76.2% saved)

preprocess89.0ms (5.5%)

Memory: 1.4MiB live, 98.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 578 to 146 computations (74.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample841.0ms (52%)

explain68.0ms (4.2%)

preprocess63.0ms (3.9%)

series6.0ms (0.3%)

rewrite71.0ms (4.4%)

eval6.0ms (0.3%)

prune5.0ms (0.3%)

series21.0ms (1.3%)

rewrite72.0ms (4.4%)

eval35.0ms (2.1%)

prune12.0ms (0.7%)

series11.0ms (0.7%)

rewrite70.0ms (4.3%)

eval16.0ms (1%)

prune6.0ms (0.4%)

series5.0ms (0.3%)

rewrite51.0ms (3.2%)

eval4.0ms (0.2%)

prune30.0ms (1.8%)

regimes9.0ms (0.5%)

regimes18.0ms (1.1%)

regimes6.0ms (0.4%)

regimes5.0ms (0.3%)

regimes5.0ms (0.3%)

regimes4.0ms (0.3%)

regimes11.0ms (0.7%)

regimes3.0ms (0.2%)

regimes3.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch13.0ms (0.8%)

bsearch9.0ms (0.6%)

bsearch7.0ms (0.4%)

bsearch6.0ms (0.3%)

bsearch1.0ms (0.1%)

bsearch1.0ms (0.1%)

bsearch2.0ms (0.1%)

bsearch1.0ms (0.1%)

derivations30.0ms (1.9%)

preprocess89.0ms (5.5%)

end0.0ms (0%)

Profiling