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

2.4MiB live, 2.4MiB 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)

sample641.0ms (37.5%)

Memory

37.2MiB live, 1 053.8MiB allocated; 240ms collecting garbage

Samples

435.0ms	8 251×	0	valid
1.0ms	5×	2	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-sqrt: 79.0ms (43% of total)

ival-add!: 53.0ms (28.8% of total)

ival-div!: 50.0ms (27.2% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess58.0ms (3.4%)

Memory

-8.4MiB live, 43.9MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	43	24
2	107	24
3	276	24
4	1914	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series4.0ms (0.3%)

Memory

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

Counts

6 → 37

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	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

2.0ms

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))

rewrite173.0ms (10.1%)

Memory

15.9MiB live, 258.8MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	944
0	191	872
1	1217	766
0	8626	733

Stop Event

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

Counts

43 → 96

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

Outputs
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
x
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (/.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(literal 1 binary64)
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (.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 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))) (/.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))))
(+.f64 (*.f64 x #s(literal 1 binary64)) #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 (fma.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 (fma.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 (fma.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 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) (-.f64 x #s(literal -1 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x))) x))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) x) x)) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x))) (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) x)) x) x)) (sqrt.f64 x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (-.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 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))) x)) (/.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 (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) x)) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x))) x)))

eval13.0ms (0.7%)

Memory: -24.2MiB live, 21.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 907 to 458 computations (49.5% saved)

prune4.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Accuracy

100.0%

Counts

93 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
	66.0%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	35.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	63.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
▶	65.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
▶	36.6%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 110 to 110 computations (0% saved)

series5.0ms (0.3%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

18 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite193.0ms (11.3%)

Memory

-4.2MiB live, 232.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	1147
0	235	1047
1	1360	930
0	8707	899

Stop Event

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

Counts

66 → 197

Calls

Call 1

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

Outputs
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
x
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (/.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (neg.f64 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 (*.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) 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 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64))))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))) (/.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) x #s(literal -1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 x) x) #s(literal 1 binary64))) (neg.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (sqrt.f64 x) x) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))))
(-.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
#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)
(*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (.f64 x (.f64 #s(literal -1/8 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/8 binary64) x)) (.f64 x (.f64 #s(literal -1/8 binary64) x))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 #s(literal -1/8 binary64) x))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (.f64 (.f64 #s(literal -1/8 binary64) x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal -1/8 binary64) x) x)))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 #s(literal -1/8 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal -1/8 binary64) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/8 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 x (*.f64 #s(literal -1/8 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x)) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x))) (+.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal -1/8 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))) (/.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))))
(+.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
#s(literal -1/8 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 (fma.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 (fma.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 (+ (sqrt (- x -1)) 1) #s(literal 2 binary64))
#s(approx (+ (sqrt (- x -1)) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (sqrt (- x -1)) 1) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (sqrt (- x -1)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 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 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt x) 1) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#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 (/ 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (+ (sqrt (- x -1)) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (+ (sqrt (- x -1)) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (+ (sqrt (- x -1)) 1) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (sqrt (- x -1)) 1) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (sqrt (- x -1)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x))) x))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (sqrt x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) 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 (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) x) x)) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x))) (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) x)) x) x)) (sqrt.f64 x)))
#s(approx (+ (sqrt (- x -1)) 1) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (+ (sqrt (- x -1)) 1) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ (sqrt (- x -1)) 1) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (+ (sqrt (- x -1)) 1) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) x)) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (sqrt (- x -1)) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (sqrt (- x -1)) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x)))
#s(approx (sqrt (- x -1)) (neg.f64 (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x))) x)))
#s(approx (- (sqrt x) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64))))
#s(approx (+ (* -1/8 x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))

eval21.0ms (1.2%)

Memory: -3.9MiB live, 51.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 729 to 851 computations (50.8% saved)

prune5.0ms (0.3%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	191	6	197

Accuracy

100.0%

Counts

197 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	66.0%	(/.f64 x #s(approx (+ (sqrt (- x -1)) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓	35.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	63.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	65.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
✓	36.6%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 55 to 55 computations (0% saved)

series3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

11 → 38

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ x (+ (sqrt (- x -1)) 1)) x (+ (sqrt (- x -1)) 1) (+ (* 1/2 x) 2) 1/2 2 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (- x -1) -1)
1.0ms	x	@	inf	((/ x (+ (sqrt (- x -1)) 1)) x (+ (sqrt (- x -1)) 1) (+ (* 1/2 x) 2) 1/2 2 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (- x -1) -1)
0.0ms	x	@	0	((/ x (+ (sqrt (- x -1)) 1)) x (+ (sqrt (- x -1)) 1) (+ (* 1/2 x) 2) 1/2 2 (/ x (- (sqrt (- x -1)) -1)) (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (- x -1) -1)

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite218.0ms (12.7%)

Memory

-24.7MiB live, 250.5MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	988
0	201	913
1	1281	807
0	8491	775

Stop Event

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

Counts

49 → 132

Calls

Call 1

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

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

eval15.0ms (0.9%)

Memory: -3.2MiB live, 40.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 228 to 614 computations (50% saved)

prune4.0ms (0.3%)

Memory

16.4MiB live, 16.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	120	6	126

Accuracy

100.0%

Counts

126 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	66.0%	(/.f64 x #s(approx (+ (sqrt (- x -1)) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓	35.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	63.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	65.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
✓	36.6%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 115 to 94 computations (18.3% saved)

regimes7.0ms (0.4%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes17.0ms (1%)

Memory

-48.7MiB live, 16.1MiB allocated; 17ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

14.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.6%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.2%)

Memory

13.7MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.6%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #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 #s(literal 1/2 binary64) 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
97.7%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.7%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#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))
#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
97.0%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.0%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.3%)

Memory

-35.7MiB live, 9.2MiB allocated; 3ms 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)))) (sqrt.f64 x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
36.6%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
36.6%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch10.0ms (0.6%)

Memory

31.4MiB live, 31.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.3145820016792998	4516.4485976329615

Samples

4.0ms

128×

valid

Compiler

Compiled 171 to 186 computations (-8.8% saved)

Precisions

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

ival-sqrt: 1.0ms (46% of total)

ival-add!: 1.0ms (46% of total)

ival-div!: 1.0ms (46% of total)

adjust: 0.0ms (0% of total)

bsearch12.0ms (0.7%)

Memory

-12.7MiB live, 28.7MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.3145820016792998	4516.4485976329615

Samples

7.0ms

96×

valid

Compiler

Compiled 179 to 194 computations (-8.4% saved)

Precisions

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

ival-sqrt: 1.0ms (59.1% of total)

ival-add!: 1.0ms (59.1% of total)

adjust: 0.0ms (0% of total)

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

bsearch4.0ms (0.3%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.3145820016792998	4516.4485976329615

Samples

2.0ms

48×

valid

Compiler

Compiled 163 to 178 computations (-9.2% 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%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3145820016792998	4516.4485976329615

Compiler

Compiled 147 to 162 computations (-10.2% saved)

derivations235.0ms (13.8%)

Memory

-12.9MiB live, 209.8MiB allocated; 50ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 55 to 37 computations (32.7% saved)

preprocess51.0ms (3%)

Memory: 29.1MiB live, 83.0MiB allocated; 29ms collecting garbage
Compiler: Compiled 62 to 43 computations (30.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample641.0ms (37.5%)

preprocess58.0ms (3.4%)

series4.0ms (0.3%)

rewrite173.0ms (10.1%)

eval13.0ms (0.7%)

prune4.0ms (0.2%)

series5.0ms (0.3%)

rewrite193.0ms (11.3%)

eval21.0ms (1.2%)

prune5.0ms (0.3%)

series3.0ms (0.1%)

rewrite218.0ms (12.7%)

eval15.0ms (0.9%)

prune4.0ms (0.3%)

regimes7.0ms (0.4%)

regimes17.0ms (1%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

regimes4.0ms (0.3%)

bsearch10.0ms (0.6%)

bsearch12.0ms (0.7%)

bsearch4.0ms (0.3%)

bsearch1.0ms (0%)

derivations235.0ms (13.8%)

preprocess51.0ms (3%)

end0.0ms (0%)

Profiling