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

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB 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)

sample672.0ms (33.6%)

Memory

1.4MiB live, 849.9MiB allocated; 162ms collecting garbage

Samples

427.0ms	8 255×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-sqrt: 75.0ms (42.3% of total)

ival-add!: 62.0ms (35% of total)

ival-div!: 38.0ms (21.4% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess120.0ms (6%)

Memory

-21.5MiB live, 66.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	31	27
2	60	27
3	111	27
4	384	24
5	2995	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 16 to 12 computations (25% saved)

series4.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB 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))

rewrite161.0ms (8%)

Memory

14.7MiB live, 309.8MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	944
0	191	876
1	1096	769
0	8394	735

Stop Event

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

Counts

43 → 86

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

eval11.0ms (0.6%)

Memory: -18.1MiB live, 27.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 558 to 391 computations (74.9% saved)

prune5.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	8	84

Accuracy

100.0%

Counts

84 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.7%	(/.f64 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))))
▶	36.9%	(/.f64 x (-.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)))))))
▶	99.7%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	68.8%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	32.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
	66.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
	68.0%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
▶	33.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 214 to 146 computations (31.8% saved)

series12.0ms (0.6%)

Memory

-18.1MiB live, 27.7MiB allocated; 4ms collecting garbage

Counts

21 → 82

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((/ x (- (sqrt (- x -1)) -1)) x (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (- x -1) -1 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (- (/ 1 (- 1 (sqrt (- x -1)))) (/ (- x -1) (- 1 (sqrt (- x -1)))))) (- (/ 1 (- 1 (sqrt (- x -1)))) (/ (- x -1) (- 1 (sqrt (- x -1))))) (/ 1 (- 1 (sqrt (- x -1)))) (- 1 (sqrt (- x -1))) (/ (- x -1) (- 1 (sqrt (- x -1)))))
3.0ms	x	@	inf	((/ x (- (sqrt (- x -1)) -1)) x (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (- x -1) -1 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (- (/ 1 (- 1 (sqrt (- x -1)))) (/ (- x -1) (- 1 (sqrt (- x -1)))))) (- (/ 1 (- 1 (sqrt (- x -1)))) (/ (- x -1) (- 1 (sqrt (- x -1))))) (/ 1 (- 1 (sqrt (- x -1)))) (- 1 (sqrt (- x -1))) (/ (- x -1) (- 1 (sqrt (- x -1)))))
1.0ms	x	@	0	((/ x (- (sqrt (- x -1)) -1)) x (- (sqrt (- x -1)) -1) (sqrt (- x -1)) (- x -1) -1 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (- (/ 1 (- 1 (sqrt (- x -1)))) (/ (- x -1) (- 1 (sqrt (- x -1)))))) (- (/ 1 (- 1 (sqrt (- x -1)))) (/ (- x -1) (- 1 (sqrt (- x -1))))) (/ 1 (- 1 (sqrt (- x -1)))) (- 1 (sqrt (- x -1))) (/ (- x -1) (- 1 (sqrt (- x -1)))))

Time

Variable

Point

Expression

6.0ms

-inf

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

3.0ms

inf

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

1.0ms

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

rewrite161.0ms (8.1%)

Memory

45.1MiB live, 274.0MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	420	2796
0	443	2494
1	2489	2010
0	8910	1958

Stop Event

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

Counts

103 → 185

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

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

eval31.0ms (1.6%)

Memory: -36.3MiB live, 61.5MiB allocated; 15ms collecting garbage
Compiler: Compiled 6 360 to 1 043 computations (83.6% saved)

prune5.0ms (0.3%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	201	4	205
Fresh	3	0	3
Picked	0	5	5
Done	0	0	0
Total	204	9	213

Accuracy

100.0%

Counts

213 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	36.9%	(/.f64 x (-.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)))))))
✓	99.7%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	38.1%	(/.f64 x #s(approx (- (/ 1 (- 1 (sqrt (- x -1)))) (/ (- x -1) (- 1 (sqrt (- x -1))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
✓	68.8%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	34.0%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (fma.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
▶	66.7%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
▶	68.0%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 #s(literal 1/2 binary64) x))
✓	32.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	33.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 140 to 92 computations (34.3% saved)

series7.0ms (0.3%)

Memory

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

Counts

18 → 51

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite212.0ms (10.6%)

Memory

-31.6MiB live, 306.7MiB allocated; 137ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	1495
0	255	1278
1	1296	1072
0	8653	1049

Stop Event

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

Counts

69 → 214

Calls

Call 1

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

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

eval23.0ms (1.2%)

Memory: 19.5MiB live, 64.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 858 to 984 computations (85.7% saved)

prune9.0ms (0.5%)

Memory

-23.7MiB live, 22.2MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	222	9	231

Accuracy

100.0%

Counts

231 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	36.9%	(/.f64 x (-.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)))))))
✓	99.7%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	38.1%	(/.f64 x #s(approx (- (/ 1 (- 1 (sqrt (- x -1)))) (/ (- x -1) (- 1 (sqrt (- x -1))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
✓	68.8%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	34.0%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
✓	66.7%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	68.0%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 #s(literal 1/2 binary64) x))
✓	32.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	33.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 138 to 91 computations (34.1% saved)

series3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

8 → 26

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite217.0ms (10.9%)

Memory

19.1MiB live, 297.5MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	609
0	150	558
1	749	461
0	7759	453

Stop Event

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

Counts

34 → 171

Calls

Call 1

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

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

eval18.0ms (0.9%)

Memory: 0.6MiB live, 46.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 979 to 721 computations (85.5% saved)

prune5.0ms (0.3%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	161	9	170

Accuracy

100.0%

Counts

170 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	36.9%	(/.f64 x (-.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)))))))
✓	99.7%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	38.1%	(/.f64 x #s(approx (- (/ 1 (- 1 (sqrt (- x -1)))) (/ (- x -1) (- 1 (sqrt (- x -1))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
✓	68.8%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓	34.0%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
✓	66.7%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	68.0%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 #s(literal 1/2 binary64) x))
✓	32.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	33.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 138 to 91 computations (34.1% saved)

regimes77.0ms (3.8%)

Memory

-35.0MiB live, 109.3MiB allocated; 50ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 2

5 → 2

7 → 2

8 → 2

14 → 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))

Call 2

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 (- (sqrt (- x -1)) -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))

Call 3

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

Call 4

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

Call 5

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

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)))

Call 6

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

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

Calls

12 calls:

40.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
4.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
4.0ms	x
3.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
3.0ms	x

Results

Accuracy	Segments	Branch
33.8%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
33.8%	1	`x`
97.2%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.2%	2	`x`
97.6%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.6%	2	`x`
98.3%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.3%	2	`x`
98.4%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.4%	2	`x`
99.7%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.7%	1	`x`

Compiler

Compiled 262 to 103 computations (60.7% saved)

bsearch11.0ms (0.6%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.0358688197262973	436834.40768498013

Samples

5.0ms

144×

valid

Compiler

Compiled 245 to 208 computations (15.1% saved)

Precisions

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

ival-sqrt: 1.0ms (40.1% of total)

ival-add!: 1.0ms (40.1% of total)

ival-div!: 1.0ms (40.1% of total)

adjust: 0.0ms (0% of total)

bsearch11.0ms (0.5%)

Memory

-24.7MiB live, 21.2MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.5669895112798946	3.0358688197262973

Samples

3.0ms

96×

valid

Compiler

Compiled 179 to 148 computations (17.3% saved)

Precisions

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

ival-sqrt: 1.0ms (55.5% of total)

ival-add!: 1.0ms (55.5% of total)

adjust: 0.0ms (0% of total)

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

bsearch4.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.0358688197262973	436834.40768498013

Samples

2.0ms

48×

valid

Compiler

Compiled 236 to 199 computations (15.7% 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

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0358688197262973	436834.40768498013

Compiler

Compiled 218 to 181 computations (17% saved)

derivations180.0ms (9%)

Memory

-16.2MiB live, 268.6MiB allocated; 15ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 137 to 37 computations (73% saved)

preprocess36.0ms (1.8%)

Memory: 23.9MiB live, 118.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 145 to 43 computations (70.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample672.0ms (33.6%)

preprocess120.0ms (6%)

series4.0ms (0.2%)

rewrite161.0ms (8%)

eval11.0ms (0.6%)

prune5.0ms (0.2%)

series12.0ms (0.6%)

rewrite161.0ms (8.1%)

eval31.0ms (1.6%)

prune5.0ms (0.3%)

series7.0ms (0.3%)

rewrite212.0ms (10.6%)

eval23.0ms (1.2%)

prune9.0ms (0.5%)

series3.0ms (0.1%)

rewrite217.0ms (10.9%)

eval18.0ms (0.9%)

prune5.0ms (0.3%)

regimes77.0ms (3.8%)

bsearch11.0ms (0.6%)

bsearch11.0ms (0.5%)

bsearch4.0ms (0.2%)

bsearch1.0ms (0%)

derivations180.0ms (9%)

preprocess36.0ms (1.8%)

end0.0ms (0%)

Profiling